A mixture of gases contains 0.290 mol CH4, 0.270 mol C2H6, and 0.280 mol C3H8. The total pressure is 1.45 atm. Calculate the partial pressures of the gases.
(a) CH4
(b) C2H6
(c) C3H8
in atm

Answers

Answer 1

A mixture of gases contains 0.290 mol [tex]CH_4[/tex] , 0.270 mol[tex]C_2H_6[/tex], and 0.280 mol [tex]C_3H_8[/tex]. The total pressure is 1.45 atm. the partial pressures of the gases in the mixture are:

(a)[tex]CH_4[/tex]: 0.4205 atm

(b) [tex]C_2H_6[/tex]: 0.3915 atm

(C) [tex]C_3H_8[/tex]: 0.406 atm

To calculate the partial pressures of the gases in the given mixture, we can use Dalton’s law of partial pressures, which states that the total pressure exerted by a mixture of non-reacting gases is equal to the sum of the partial pressures of each gas.

Given that the total pressure is 1.45 atm, we need to calculate the partial pressures of each gas individually.

(a) [tex]CH_4[/tex]:

The mole fraction  can be calculated as follows:

Mole fraction of [tex]CH_4[/tex] = (moles of [tex]CH_4[/tex]) / (total moles)

                   = 0.290 mol / (0.290 mol + 0.270 mol + 0.280 mol)

                   = 0.290

The partial pressure of [tex]CH_4[/tex] can then be calculated using the mole fraction:

Partial pressure of [tex]CH_4[/tex] = Mole fraction of [tex]CH_4[/tex] * Total pressure

                      = 0.290 * 1.45 atm

                      = 0.4205 atm

(b) [tex]C_2H_6[/tex]:

Following the same steps as above, we calculate the mole fraction of [tex]C_2H_6[/tex] :

Mole fraction = 0.270 mol / (0.290 mol + 0.270 mol + 0.280 mol)

                    = 0.270

Partial pressure of [tex]C_2H_6[/tex] = Mole fraction of [tex]C_2H_6[/tex] * Total pressure

                       = 0.270 * 1.45 atm

                       = 0.3915 atm

(C) [tex]C_3H_8[/tex]:

Similarly, we calculate the mole fraction:

Mole fraction = 0.280 mol / (0.290 mol + 0.270 mol + 0.280 mol)

                     = 0.280

Partial pressure of [tex]C_3H_8[/tex]  = Mole fraction of[tex]C_3H_8[/tex] * Total pressure

                       = 0.280 * 1.45 atm

                       = 0.406 atm

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Related Questions

What is the millimolar concentration of ethanol (Mw = 46 g/mol) in the bloodstream of a person with a blood alcohol content of 0.08% w/v? (Mw = 46 g/mol)?

Answers

The millimolar concentration of ethanol in the bloodstream of a person with a blood alcohol content of 0.08% w/v is 17.4 mM.

What is the blood alcohol content?

Blood alcohol content (BAC) is a measure of the concentration of alcohol in a person's bloodstream. It is typically expressed as a percentage, either as weight/volume (w/v) or as volume/volume (v/v).

BAC is affected by various factors such as the amount of alcohol consumed, the rate of alcohol metabolism, body weight, gender, and other individual characteristics.

To calculate the millimolar concentration of ethanol in the bloodstream, we first need to convert the blood alcohol content (BAC) from weight/volume percentage to molarity.

Convert the blood alcohol content (BAC) from weight/volume percentage to grams of ethanol per liter of blood:

BAC = 0.08%

w/v =[tex]\frac{ 0.08 g}{100 mL}[/tex]

= 0.8 g/L

Calculate the molarity (M) of ethanol:

Molarity (M) = [tex]\frac{mass\ of \solute\ in\ grams}{molar&mass of solute\ in\ g/mol \ or\ volume\ of solution\ in \liters}[/tex]

We know the molar mass (Mw) of ethanol is 46 g/mol, and the BAC is 0.8 g/L:

Molarity (M) = [tex]\frac{0.8 g/L}{46 g/mol}[/tex]

= 0.0174 mol/L

Convert molarity to millimolar concentration:

Millimolar concentration = Molarity (M) × 1000 Millimolar concentration

= 0.0174 mol/L × 1000

= 17.4 mM

Therefore, the millimolar concentration of ethanol in the bloodstream of a person with a blood alcohol content of 0.08% w/v is 17.4 mM.

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To prepare a sample in a capillary tube for a melting point determination, gently tap the tube into the sample with the Choose... end of the tube down. Continue tapping until the sample Choose... Then, with the Choose... - end of the tube down, tap the sample down slowly or Choose... to move the sample down faster. Finally, make sure that you can see Choose... in the magnifier when placed in the melting point apparatus before turning on the heat.

Answers

To prepare a sample in a capillary tube for a melting point determination, gently tap the tube into the sample with the closed-end of the tube down.

Continue tapping until the sample is compacted. Then, with the open-end of the tube down, tap the sample down slowly or use a plunger to move the sample down faster. Finally, make sure that you can see the sample clearly in the magnifier when placed in the melting point apparatus before turning on the heat.

Preparing a sample in a capillary tube for a melting point determination requires careful handling to ensure accurate results. Here's a step-by-step explanation of the process:

Take a clean, dry capillary tube and hold it with one end closed (usually called the closed-end) and the other end open (called the open-end).

Gently tap the closed-end of the tube onto the solid sample, ensuring that the open-end is facing upwards. The tapping helps to transfer the sample into the tube.

Continue tapping the tube into the sample until the sample is tightly packed inside the tube. This ensures uniformity and consistency during the melting point determination.

Once the sample is compacted, reverse the position of the tube so that the open-end is facing downwards.

Tap the tube down slowly or use a plunger to move the sample further down the tube. This helps in adjusting the position of the sample inside the capillary tube.

After moving the sample down, check through a magnifier to ensure that the sample is visible and properly positioned within the tube. Adjust if necessary to obtain a clear view.

Proper sample preparation is crucial for accurate melting point determination. By following the steps outlined above, you can ensure that the sample is securely packed within the capillary tube and positioned correctly for observation. This allows for precise temperature measurements during the melting point determination process. Taking care to handle the capillary tube gently and tapping it at the appropriate ends helps in achieving reliable results. Remember to exercise caution when using a magnifier and ensure that you can clearly observe the sample before initiating the heating process.

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k2cro4 na2so3 hcl→kcl na2so4 crcl3 h2o generally coefficients of 1 are omitted from balanced chemical equations. when entering your answer, include coefficients of 1 as required for grading purposes.

Answers

While coefficients of 1 are typically omitted, they can be included for clarity and to satisfy grading requirements.

In balanced chemical equations, coefficients of 1 are typically omitted for simplicity and readability. Here's the balanced chemical equation for the given reaction while including coefficients of 1:

[tex]1 K_2CrO_4 + 1 Na_2SO_3 + 2 HCl -- > 2 KCl + 1 Na_2SO_4 + 1 CrCl_3 + 1 H_2O[/tex]

The purpose of balancing chemical equations is to ensure that the number of atoms of each element is the same on both sides of the equation. By adjusting the coefficients, we can achieve this balance while following the law of conservation of mass. The coefficients represent the relative amounts of each substance involved in the reaction.

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bond with most ionic character and the least ionic character:
a. Li-Cl
b. N-N
c. K-O
d. S-O
e. Cl-F

Answers

The bond with the most ionic character is:

c. K-O (potassium oxide)

The bond with the least ionic character is:

b. N-N (nitrogen gas)

Explanation:

Ionic character in a bond refers to the extent to which electrons are transferred from one atom to another. In general, the greater the difference in electronegativity between the atoms involved in the bond, the more ionic character the bond will have.

a. Li-Cl: Lithium (Li) has a low electronegativity, and chlorine (Cl) has a high electronegativity. This creates a significant electronegativity difference, resulting in an ionic bond. However, the electronegativity difference is smaller compared to other choices.

b. N-N: Nitrogen gas (N2) consists of two nitrogen atoms bonded together, sharing electrons equally. Since there is no significant difference in electronegativity, the bond is nonpolar covalent and has the least ionic character.

c. K-O: Potassium oxide (K2O) involves the combination of potassium (K) and oxygen (O). Potassium has a low electronegativity, and oxygen has a high electronegativity. The electronegativity difference leads to a more ionic bond compared to the other choices.

d. S-O: Sulfur (S) and oxygen (O) have a moderate electronegativity difference. The bond between them can be considered polar covalent, with some ionic character, but it is less ionic than the K-O bond.

e. Cl-F: Chlorine (Cl) and fluorine (F) have a high electronegativity difference. The bond between them is highly polar covalent, approaching the characteristics of an ionic bond, but it has less ionic character compared to the K-O bond.

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the following pair has both reduced forms of electron carriers:
- NADH / FAD
- NAD+ / FADH2
- NADH / FADH2
- NAD+ / FAD

Answers

The pair that has both reduced forms of electron carriers is NADH/FADH2. NADH is a reduced form of nicotinamide adenine dinucleotide (NAD+), which becomes reduced when it gains a pair of electrons and a hydrogen ion.

FADH2 is a reduced form of flavin adenine dinucleotide (FAD), which also becomes reduced when it gains a pair of electrons and two hydrogen ions. These reduced forms of electron carriers play important roles in cellular respiration, particularly in the electron transport chain. NADH and FADH2 donate their electrons to the electron transport chain, which then uses them to generate ATP through oxidative phosphorylation.

Overall, the reduction of NAD+ and FAD to their respective reduced forms, NADH and FADH2, is essential for energy production in cells.

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If the student had ground up the calcium carbonate chips into a powder and run the tests again, what would you expect to happen to the rate of reaction? Briefly explain why by applying collision theory

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If the student had ground up the calcium carbonate chips into a powder and run the tests again, the rate of the reaction would increase, because the particles will collide more often.

Collision theory is a theory in chemistry that describes the rate of chemical reactions, the theory explains that the rate of a chemical reaction is directly proportional to the frequency of collisions between the reacting particles. In a chemical reaction, for the reaction to occur, the reactant particles must collide with sufficient energy and at the correct orientation. A reaction is unlikely to occur if the particles do not have the required energy or if they do not collide in the right orientation.

If the calcium carbonate chips are ground into a fine powder, the surface area of the chips is increased. An increase in surface area will increase the frequency of collisions between the reacting particles. When the frequency of collisions is increased, the rate of the reaction will also increase, this is because the particles will collide more often and therefore have a higher chance of colliding with sufficient energy and at the correct orientation to cause a reaction. Therefore, grinding the calcium carbonate chips into a powder will increase the rate of the reaction.

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Calculate the producers' surplus for the supply equation at the indicated unit price p. HINT (See Example 2.] (Round your answer to the nearest cent.) p = 10 + 2q; = 14 Need Help? Read It

Answers

the producers' surplus at a price of $14 and MC = $6 would be $8.

The first step is to find the quantity supplied at the given price of $14. Substituting p = 14 in the supply equation, we get:
14 = 10 + 2q
4 = 2q
q = 2
Therefore, at a price of $14, the quantity supplied is 2 units. To calculate the producers' surplus, we need to find the area between the supply curve and the price line, up to the quantity supplied. This is a right triangle with base 2 (the quantity) and height (p - MC), where MC is the marginal cost of producing one unit. The marginal cost is not given, so we cannot calculate the exact value of producers' surplus. However, we can say that it will be positive as long as the price is above the marginal cost. If we assume a marginal cost of $6, for example, then the height of the triangle would be 14 - 6 = 8. The area would be (1/2) x 2 x 8 = $8. Therefore, the producers' surplus at a price of $14 and MC = $6 would be $8.

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Find ΔG∘rxn at 25.0 ∘C . (Note that ΔH∘f,I2(g)=62.42kJ/mol , S∘I2(s)=116.14J/(mol⋅K) , and S∘I2(g)=260.69J/mol⋅K .)

Answers

First, we need to calculate the entropy change (ΔS∘rxn).To find ΔG∘rxn at 25.0 °C, we can use the equation ΔG∘rxn = ΔH∘rxn - TΔS∘rxn.  Therefore ΔG∘rxn at 25.0 °C is 19.33 kJ/mol.

Since the reaction involves a change in state, we can use the difference in entropy between the gaseous and solid forms of iodine:

ΔS∘rxn = S∘I2(g) - S∘I2(s)

= 260.69 J/(mol⋅K) - 116.14 J/(mol⋅K)

= 144.55 J/(mol⋅K)

Next, we need to convert ΔS∘rxn to kJ/(mol⋅K):

ΔS∘rxn = 144.55 J/(mol⋅K) * (1 kJ/1000 J)

= 0.14455 kJ/(mol⋅K)

Now, we can calculate ΔG∘rxn:

ΔG∘rxn = ΔH∘rxn - TΔS∘rxn

Since the temperature is 25.0 °C, which is 298.15 K, we have:

ΔG∘rxn = 62.42 kJ/mol - (298.15 K * 0.14455 kJ/(mol⋅K))

= 62.42 kJ/mol - 43.09 kJ/mol

= 19.33 kJ/mol

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Give the missing chemical reagent to complete the equation showing the oxidation of manganese metal. Include the stoichiometric coefficient, if needed. Provide your answer below: ___ (aq) + Mn(s) --> Mn(NO3)2(aq) + H2(g)

Answers

To complete the equation showing the oxidation of manganese metal, the missing chemical reagent is nitric acid (HNO3).

In the given equation: ___ (aq) + Mn(s) --> Mn(NO3)2(aq) + H2(g), we are looking for the reagent that would react with manganese (Mn) to form manganese(II) nitrate (Mn(NO3)2) and hydrogen gas (H2).

In this case, nitric acid (HNO3) is the appropriate reagent. The balanced equation for the reaction would be:

3HNO3(aq) + Mn(s) --> Mn(NO3)2(aq) + 2H2(g)

Here, nitric acid reacts with manganese metal to produce manganese(II) nitrate and hydrogen gas. The stoichiometric coefficient of HNO3 is 3 to balance the equation.

Therefore, the missing chemical reagent is nitric acid (HNO3).

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gentian violet is a dye using in dna gel electrophoresis it is yellow in strongly acidic solutions and purple in solutions ______

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Gentian violet, a dye used in DNA gel electrophoresis, exhibits a yellow color in strongly acidic solutions and turns purple in solutions with higher pH levels, such as neutral or basic solutions. This color change aids in the visualization of DNA fragments during the gel electrophoresis process.

Gentian violet is a common dye used in DNA gel electrophoresis to stain DNA bands. It is a cationic dye that binds to DNA molecules, making them visible under UV light. Gentian violet appears yellow in strongly acidic solutions and purple in solutions with a higher pH. During electrophoresis, the DNA is separated by size and charge, resulting in distinct bands on the gel. Gentian violet stains these bands, allowing scientists to visualize the DNA fragments. However, excessive use of gentian violet can damage DNA, so it is important to use it in moderation. In summary, gentian violet is a vital tool for DNA analysis, but its use must be carefully controlled to prevent any negative effects on the DNA samples.
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Complete the equation below for the neutralization reaction by writing the formula ofeach product
KOH(aq) + HCl(aq)->______ + ______

Answers

KOH (potassium hydroxide) reacts with HCl (hydrochloric acid) to produce a salt and water. The formula of each product can be determined by combining the respective positive and negative ions.
KOH(aq) + HCl(aq) -> KCl(aq) + H2O(l)
In this balanced equation, KCl (potassium chloride) is the salt, and H2O (water) is the other product formed during the neutralization reaction.KOH(aq) + HCl(aq) -> KCl(aq) + H2O(l)

In this neutralization reaction, potassium hydroxide (KOH) reacts with hydrochloric acid (HCl) to produce potassium chloride (KCl) and water (H2O). The balanced equation for this reaction is KOH(aq) + HCl(aq) -> KCl(aq) + H2O(l). In this equation, the formula of each product is written as KCl(aq) and H2O(l), which represent potassium chloride in aqueous solution and water in its liquid state, respectively. This is an example of an acid-base reaction, where the acid (HCl) and the base (KOH) react to form a salt (KCl) and water through a neutralization reaction.
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Which of the following is always true for a reaction whose value of Kc is 4.4 x 10^4? a) The reaction occurs slowly.
b) The reaction occurs quickly.
c) At equilibrium, the reaction mixture is product-favored.
d) At equilibrium, the reaction mixture is reactant-favored.
e) At equilibrium, there are equal moles of reactants and products.

Answers

For a reaction with a value of Kc at 4.4 x 10^4, the correct statement is (c) At equilibrium, the reaction mixture is product-favored. A large Kc value indicates that the equilibrium lies towards the products, meaning there is a higher concentration of products compared to reactants at equilibrium.

Based on the value of Kc being 4.4 x 10^4, we know that the reaction is product-favored at equilibrium. This means that the concentration of the products is higher than the concentration of the reactants at equilibrium. Therefore, option c) "At equilibrium, the reaction mixture is product-favored" is always true for a reaction with a Kc value of 4.4 x 10^4. The value of Kc also tells us that the reaction is proceeding towards the products direction, but it does not provide any information about the rate of reaction. Therefore, options a) and b) are not necessarily true. Option d) is incorrect since the reaction is product-favored, and option e) cannot be determined solely based on the value of Kc.

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S- A simple machine which has mechanical advantange 4 and velocity ratio 5 calculate the of the efficiency simple machine.

Answers

A simple machine which has mechanical advantange 4 and velocity ratio 5, the efficiency is 80%.

The effectiveness with which a machine transforms input energy into usable output energy is known as efficiency.

It is a proportion of the machine's useful work or energy output to its overall work or energy input. A percentage is a common way to describe effectiveness.

The efficiency of a simple machine, we can apply the formula:

Efficiency = (Mechanical Advantage / Velocity Ratio) × 100%

Given that

Mechanical advantage = 4 and

Velocity ratio = 5

We can substitute these values into the formula to find the asked efficiency.

Efficiency = (4 / 5) × 100%

Efficiency = 0.8 × 100%

Efficiency = 80%

Therefore, the efficiency of the simple machine is 80%.

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which carbons in the glucose molecule would become radioactive?

Answers

The specific carbons in a glucose molecule that become radioactive will depend on the method used for radioisotope labeling. However, in general, any carbon in the glucose molecule can potentially become radioactive if it is replaced with a radioactive carbon isotope.

In order to understand which carbons in the glucose molecule would become radioactive, it's important to first understand what "radioactive" means. Radioactivity is the property of certain atoms to spontaneously emit radiation in the form of particles or energy. In order for a carbon atom in a glucose molecule to become radioactive, it would need to undergo a process called radioisotope labeling. This involves replacing one or more of the stable carbon atoms in the glucose molecule with a radioactive carbon isotope, such as carbon-14.
The process of radioisotope labeling can be done in a laboratory setting, and the resulting radioactive glucose molecule can be used for a variety of applications, including medical imaging and research into metabolic processes. The specific carbons in the glucose molecule that become radioactive will depend on the labeling method used. For example, if the glucose molecule is labeled with carbon-14 at the first carbon position (also known as the anomeric carbon), then that carbon atom will become radioactive. If the labeling is done at other positions, such as the second or third carbon, those carbons will become radioactive instead.

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For the following example, identify the following. 2 Cl2O(g) + 2 C12(g) + O2(g) O at low temperature, the reaction is spontaneous and AG <0 and at high temperature, the reaction is spontaneous and AG < 0 at low temperature, the reaction is nonspontaneous and AG >0 and at high temperature, the reaction is spontaneous and AGO at low temperature, the reaction is spontaneous and AG <0 and at high temperature, the reaction is nonspontaneous and AG > O at low temperature, the reaction is nonspontaneous and AG >0 and at high temperature, the reaction is nonspontaneous and AG > 0 It is not possible to determine without more information.

Answers

The given example shows the reaction between 2 Cl2O(g), 2 C12(g), and O2(g). The spontaneity of the reaction is determined by the value of Gibbs free energy (AG). At low temperature, the reaction is spontaneous with AG<0, which indicates that the reaction can occur without any external energy.

This is because the reactants have a lower energy state than the products. At high temperature, the reaction is also spontaneous with AG<0, indicating that increasing the temperature increases the rate of reaction. However, at low temperature, the reaction is nonspontaneous with AG>0, meaning that external energy is required for the reaction to occur. This is because the products have a lower energy state than the reactants. Finally, at high temperature, the reaction is also nonspontaneous with AG>0, suggesting that increasing the temperature does not favor the reaction. Temperature plays a crucial role in determining the spontaneity of the reaction by affecting the energy of the reactants and products.

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Match the correct behavior of ions toward sulfuric acid, H2SO4.
1) Chloride, Cl- ...
A: Violet or red-brown vapors of elemental iodine form
B: colorless, odorless gas (carbon dioxide) evolves
C. Colorless, pungent gas, HCl evolves, which turns blue litmus red
D: No observable reaction

Answers

D: No observable reaction

When chloride ions (Cl-) are added to sulfuric acid (H2SO4), no observable reaction occurs. This is because chloride ions are not strong enough to displace the hydrogen ions (H+) in H2SO4. The hydrogen ions are more attracted to the sulfate ions (SO42-) in the acid, which means that the chloride ions cannot displace them. As a result, there is no chemical reaction and no color change or gas evolution occurs.
It's important to note that the behavior of ions towards sulfuric acid can vary depending on the specific ion and its properties. Some ions may be strong enough to displace the hydrogen ions and react with the acid, while others may not react at all. Understanding the behavior of ions towards sulfuric acid is important in many chemical processes and industries.

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what can you conclude about the % crude yield (especially if your % crude yield is greater than 100% or

Answers

In cases where the % crude yield is near or at 100%, it suggests that the purification process was efficient.

It is important to note that a % crude yield greater than 100% is not possible as it would imply that more product was produced than the starting material. In cases where the % crude yield is near or at 100%, it suggests that the purification process was efficient. A yield lower than 100% indicates that some material was lost during the process. It is essential to identify the reasons for the low yield, such as incomplete reaction or poor isolation. It is also important to note that yield calculations should be done with accuracy and precision to obtain reliable results. A yield greater than 100% is not practically possible and suggests errors in calculations or experimental procedures. Common causes include impurities in reactants or products, inaccurate measurements, or incomplete separation of the product from the reaction mixture. To resolve this issue, it is essential to double-check the calculations, ensure accurate measurements, and maintain proper experimental techniques to obtain a more accurate percentage yield.

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according to the balanced reaction below, calculate the quantity of gas that form when liquid completely reacts: n₂h₄(l)→nh₃(g) n₂(g)

Answers

The quantity of gas is 5.6 moles of NH₃ that form liquid completely reacts.

What are Moles?

A mole is defined as the quantity of stuff that has exactly 12 grammes of carbon-12's weight in elementary particles.

From given we know that,

3N₂H₄(l) ⇒ 4NH₃(g) + N₂(g)

From given we know that,

3 moles of N₂H₄ = 4 moles of NH₃

4.2 moles of N₂H₄ = x

Then,

x = (4.2 × 4)/3

x = 5.6

Since 5.6 moles of NH₃.

No. of moles of NH₃ formed = 5.6 moles.

Hence, the quantity of gas is 5.6 moles of NH₃ that form liquid completely reacts.

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Which one of the following salts, when dissolved in water, produces the solution with the highest pH?
a. CsF
b. KBr
c. RbCl
d. NaI

Answers

Among the given options, the salt that produces the solution with the highest pH when dissolved in water is CsF (Cesium fluoride).

The pH of a solution depends on the concentration of hydrogen ions (H+) in the solution. Acids release H+ ions, which lower the pH, while bases or alkalis accept H+ ions, increasing the pH. In this case, we are looking for the salt that produces the most basic solution, or the highest pH. When CsF (Cesium fluoride) is dissolved in water, it dissociates into Cs+ ions and F- ions. The fluoride ion (F-) is the conjugate base of a weak acid, HF (hydrofluoric acid). However, compared to the other options (KBr, RbCl, NaI), the fluoride ion (F-) is the most basic anion. It has a higher affinity for accepting H+ ions from water, resulting in the formation of hydroxide ions (OH-) and raising the pH of the solution. Therefore, among the given options, CsF (Cesium fluoride) when dissolved in water produces the solution with the highest pH.

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write the reaction for the saponification of glyceryl tripalmitate with sodium hydroxide

Answers

The reaction for the saponification of glyceryl tripalmitate with sodium hydroxide is C51H98O6 + 3 NaOH → 3 C15H31COONa + C3H8O3

The saponification reaction of glyceryl tripalmitate (a triglyceride) with sodium hydroxide can be represented by the following equation:

Glyceryl tripalmitate + 3 Sodium hydroxide → 3 Sodium palmitate + Glycerol

The balanced chemical equation for the reaction is:

C51H98O6 + 3 NaOH → 3 C15H31COONa + C3H8O3

In this reaction, glyceryl tripalmitate reacts with sodium hydroxide (NaOH) to produce three molecules of sodium palmitate (C15H31COONa) and one molecule of glycerol (C3H8O3). This process is known as saponification, which involves the hydrolysis of the ester bonds in the triglyceride molecule, resulting in the formation of soap (sodium palmitate) and glycerol.

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the temperature of a cup of coffee obeys newton's law of cooling. the initial temperature of the coffee is 150f and one minute later, it is 135f. the ambient temperature of the room is 70f. if t(t) represents the temperature of the coffee at time t, the correct differential equation for the temperature with side conditions is select the correct answer

Answers

The correct differential equation for the temperature of the coffee with side conditions is dT/dt = ln(2/3)(T - 70)
with the initial condition that T(0) = 150.

The correct differential equation for the temperature of the coffee with side conditions can be found using Newton's law of cooling, which states that the rate of change of the temperature of an object is proportional to the difference between the object's temperature and the ambient temperature. In this case, we can represent the temperature of the coffee at time t as T(t) and the ambient temperature as Ta. Therefore, the differential equation for the temperature of the coffee can be written as:

dT/dt = k(T - Ta)

where k is a constant of proportionality.

To find k, we can use the given information that the temperature of the coffee drops from 150F to 135F in one minute. We can set up an equation using this information:

(135 - 70) = (150 - 70) * e^(-k*1)

Simplifying this equation, we get:

k = ln(2/3)

Therefore, the correct differential equation for the temperature of the coffee with side conditions is:

dT/dt = ln(2/3)(T - 70)

with the initial condition that T(0) = 150.

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NH3 +
O₂ →
NO +
H₂O

You must balance the equation

Answers

Answer:

the answer 3NH3+3O2->3NO+3H2O

NH3 + O2 -> NO + H2O

On your left are your reactants; NH3 + O2
On your right are your products; NO + H2O

Make a T - chart, writing reactants and products

On your left side write your products down;

N: 1
H: 3
O:2

On your right side write your products down;

N: 1
O: 2 (one on NO and the other on H2O
H: 2

Then you compare both sides to make them both equivalent or equal.

On your left your reactants should look like;

N: 1 x 2 = 2
H: 3 x 2 = 6


On your rights your products should look like;

N: 1 x 2 = 2
H: 2 x 3 = 6

Notice how I did not write O2. That’s because on your left, your reactants won’t match.

It will look like this;

On your left;

O: 2 x 5/1 = 10/2 = 5/2

On your right;

O: 2 + 3 = 5

You can’t have a fraction in your balances equation so the next thing you’ll do is multiply everything by 2.

2 •(2NH3 + 5/2O2 -> 2NO + 3H2O)

Finally your answer will be;

4NH3 + 5O2 -> 4NO + 6H2O

Hope this helps!

For the following reaction, 3.27 grams of iron(III) oxide are mixed with excess aluminum. The reaction yields 1.61 grams of aluminum oxide.
iron(III) oxide (s) + aluminum (s) ----> aluminum oxide (s) + iron (s)
What is the theoretical yield of aluminum oxide ? ____ grams
What is the percent yield of aluminum oxide ? ____ %

Answers

The theoretical yield of aluminum oxide is 2.09 grams.

The percent yield of aluminum oxide is 77.03%.

Theoretical yield of aluminum oxide:

To determine the theoretical yield of aluminum oxide, we need to calculate the amount of aluminum oxide that would be formed if the reaction went to completion based on the balanced equation. The molar ratio between iron(III) oxide and aluminum oxide is 1:1.

1 mole of iron(III) oxide (Fe2O3) has a molar mass of 159.69 g/mol.

Therefore, 3.27 grams of iron(III) oxide is equal to 3.27 g / 159.69 g/mol = 0.0205 moles.

Since the molar ratio is 1:1, the theoretical yield of aluminum oxide is also 0.0205 moles.

The molar mass of aluminum oxide (Al2O3) is 101.96 g/mol.

Therefore, the theoretical yield of aluminum oxide is 0.0205 moles × 101.96 g/mol = 2.09 grams.

Theoretical yield of aluminum oxide: 2.09 grams.

Percent yield of aluminum oxide:

Percent yield is calculated by dividing the actual yield (given in the problem) by the theoretical yield, and then multiplying by 100.

Actual yield of aluminum oxide: 1.61 grams.

Percent yield = (Actual yield / Theoretical yield) × 100

Percent yield = (1.61 g / 2.09 g) × 100 = 77.03%.

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0 out of 1 points calculate the poh of a solution that results from mixing 22.2 ml of 0.14 m benzoic acid with 45.5 ml of 0.11 m sodium benzoate. the ka value for c6h5cooh is 6.5 x 10-5.

Answers

The pOH of the solution resulting from the mixture is approximately 1.34.  we need to determine the concentration of hydroxide ions (OH-) in the solution.

The hydroxide ion concentration can be obtained by calculating the concentration of the benzoate ion (C6H5COO-) using the equilibrium expression for the dissociation of benzoic acid.

The dissociation reaction of benzoic acid (C6H5COOH) is as follows:

C6H5COOH ⇌ C6H5COO- + H+

- Volume of benzoic acid solution (V1) = 22.2 ml

- Concentration of benzoic acid (C1) = 0.14 M

- Volume of sodium benzoate solution (V2) = 45.5 ml

- Concentration of sodium benzoate (C2) = 0.11 M

- Ka value for benzoic acid (C6H5COOH) = 6.5 x 10^-5

Step 1: Calculate the moles of benzoic acid (C6H5COOH):

Moles of C6H5COOH = concentration (C1) × volume (V1)

                 = 0.14 M × 0.0222 L

                 = 0.003108 mol

Step 2: Calculate the moles of sodium benzoate (C6H5COO-):

Moles of C6H5COO- = concentration (C2) × volume (V2)

                = 0.11 M × 0.0455 L

                = 0.004995 mol

Step 3: Calculate the moles of OH- ions produced:

Since benzoic acid dissociates in water to produce one benzoate ion (C6H5COO-) and one hydrogen ion (H+), the moles of OH- ions produced are equal to the moles of benzoic acid used:

Moles of OH- = 0.003108 mol

Step 4: Calculate the concentration of OH- ions:

Concentration of OH- = Moles of OH- / Total volume of solution

                   = 0.003108 mol / (0.0222 L + 0.0455 L)

                   = 0.046 M

Step 5: Calculate the pOH:

pOH = -log10[OH-]

    = -log10(0.046)

    = 1.34

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What is the solubility of MgCO3 in a solution that contains 0. 080M Mg^2+ ions? ( Ksp of MgCO3 is 3. 5 x 10^-8)

Answers

The solubility of MgCO₃ in a solution that contains 0.080M Mg²⁺ ions is 0.04005 M.

To calculate the solubility of MgCO₃ in a solution that contains 0.080M Mg²⁺ ions, we must write the balanced chemical equation.

MgCO₃ ⇌ Mg²⁺ + CO₃²⁻

At equilibrium, the solubility of MgCO₃ = S; M concentration of Mg²⁺ = 0.080M; and the solubility product constant (Ksp) of MgCO₃ is given as 3.5 × 10⁻⁸.

Solubility product of MgCO₃ = [Mg²⁺][CO₃²⁻] = (S)(0.080 - S)

Solving:

3.5 × 10⁻⁸ = S(0.080 - S) (Substitute Ksp, Mg²⁺ and CO₃²⁻ values)

3.5 × 10⁻⁸ = 0.080S - S²

On rearranging, we get:

S² - 0.080S + 3.5 × 10⁻⁸ = 0

Applying the quadratic formula to solve the equation:

S = [0.080 ± √(0.080² - 4 × 1 × 3.5 × 10⁻⁸)]/2(1)

The value of S is calculated as follows:

S = [0.080 ± 0.0802]/2

S = [0.080 + 0.0802]/2, or

S = [0.080 - 0.0802]/2S = 0.0801/2, or

S = - 0.0002/2S = 0.04005

So, the solubility of MgCO₃ in a solution that contains 0.080M Mg²⁺ ions is 0.04005 M.

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what is the coefficient for fe(s) in the balanced version of the following chemical equation: fe(s) o2(g)→fe2o3(s)

Answers

The coefficient for Fe(s) in the balanced chemical equation Fe(s) + O2(g) → Fe2O3(s) is 4.

In order to balance the equation, we need to ensure that the number of atoms of each element is the same on both sides of the equation.

On the left side, we have 1 Fe atom, and on the right side, we have 2 Fe atoms in Fe2O3. This means we need to multiply Fe(s) by 2 to balance the Fe atoms.

Next, we need to balance the oxygen atoms. On the left side, we have 2 O atoms in O2, and on the right side, we have 3 O atoms in Fe2O3. To balance the oxygen atoms, we need to multiply O2(g) by 3.

Therefore, the balanced chemical equation is:

4 Fe(s) + 3 O2(g) → 2 Fe2O3(s)

From the balanced equation, we can see that the coefficient for Fe(s) is 4, indicating that 4 moles of Fe(s) are required to react with 3 moles of O2(g) to form 2 moles of Fe2O3(s).

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synthesis and reactions of alkenes how the distillation of the product helps to increase yields by shifting equilibrium?

Answers

Distillation is a useful technique in the synthesis and reactions of alkenes as it can help increase the yield by shifting the equilibrium towards the product side.

The synthesis of alkenes involves the elimination of a leaving group from a substrate. This can be achieved through various reactions such as dehydration of alcohols, dehydrohalogenation of alkyl halides, and dehalogenation of vicinal dihalides. Once the reaction is complete, the product mixture may contain a combination of desired and undesired products, and may also be in equilibrium with the reactants. Distillation can be used to separate the desired product from the reaction mixture, which helps to shift the equilibrium towards the product side, ultimately increasing the yield.

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which of the following is not a transition element? question 39 options: a. copper b. molybdenum c. zirconium
d. lead

Answers

Lead is not a transition element. Copper is a transition element because it has an incomplete d-subshell in its ground state electronic configuration. Molybdenum and zirconium are also transition elements because they have incomplete d-subshells in their ground state electronic configurations.

Lead, on the other hand, is not a transition element because it has a completely filled d-subshell in its ground state electronic configuration. This means that lead does not exhibit typical transition metal properties such as variable oxidation states and the formation of colored complexes. The distinction between transition and non-transition elements is based on the electronic configuration of the atoms. Transition elements have partially filled d-orbitals while non-transition elements have either full d-orbitals or no d-orbitals at all.

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true/false: acetic acid (pka ~4.76) is a stronger acid than benzoic acid (pka ~4.2). group of answer choices true false

Answers

False. Acetic acid (pKa ~4.76) is not a stronger acid than benzoic acid (pKa ~4.2). benzoic acid is a stronger acid than acetic acid based on their respective pKa values.

The pKa value is a measure of the acidity of a compound. A lower pKa value indicates a stronger acid, while a higher pKa value indicates a weaker acid. In this case, benzoic acid has a lower pKa value (~4.2) compared to acetic acid (~4.76), which means that benzoic acid is the stronger acid. The lower pKa value of benzoic acid suggests that it dissociates more readily in solution and donates its proton (H+) more readily compared to acetic acid.

This is because benzoic acid has a more stabilized conjugate base due to the resonance delocalization of the negative charge across the benzene ring. The resonance stabilization of the benzoate anion makes it easier for benzoic acid to release a proton. On the other hand, acetic acid has a slightly higher pKa value, indicating that it is a weaker acid than benzoic acid. Acetic acid's conjugate base, acetate, is less stable due to the absence of resonance delocalization in the acetate anion.

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Select the atoms in histrionicotoxin 283A that are sp 3
-hybridized. * How many π bonds are in the molecule? Select the atoms in histrionicotoxin 283 A that are sp 2
-hybridized. *).

Answers

Histrionicotoxin 283A contains three sp3-hybridized atoms and one π bond. The sp3-hybridized atoms are located at specific positions within the molecule.

Histrionicotoxin 283A is a complex molecule with multiple atoms and functional groups. To identify the sp3-hybridized atoms, we need to understand the concept of hybridization. In sp3 hybridization, one s orbital and three p orbitals combine to form four sp3 hybrid orbitals, which are then used to form sigma bonds with other atoms.

Within the histrionicotoxin 283A molecule, there are three atoms that exhibit sp3 hybridization: carbon (C) atoms. These sp3-hybridized carbon atoms are typically bonded to four other atoms, including hydrogen (H) atoms and other carbon atoms.

As for the number of π bonds in the molecule, one π bond is present. A π bond forms when parallel p orbitals overlap sideways, allowing for the sharing of electrons. In histrionicotoxin 283A, this π bond is usually found between two carbon (C) atoms.

In summary, histrionicotoxin 283A contains three sp3-hybridized carbon atoms and one π bond formed between two carbon atoms. The sp3 hybridization provides stability and determines the geometry around these carbon atoms, while the presence of a π bond contributes to the overall electronic structure of the molecule.

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