A calorimeter consists of metal parts with a heat capacity of 925.0 J/K and 1100 grams of oil with specific heat 2.814J/g K. What is the heat capacity, in joules per degree, of the entire assembly?

Answers

Answer 1

The heat capacity of the entire assembly is 4019.4 joules per degree Kelvin.

To calculate the heat capacity of the entire assembly, we need to consider the heat capacities of the metal parts and the oil separately, and then sum them up.

The heat capacity of the metal parts is given as 925.0 J/K. This means that for every 1 degree Kelvin (or Celsius) increase in temperature, the metal parts can absorb or release 925.0 joules of heat.

The oil has a specific heat of 2.814 J/g K. This means that for every 1 gram of oil and 1 degree Kelvin increase in temperature, it can absorb or release 2.814 joules of heat.

Given that there are 1100 grams of oil in the calorimeter, we can calculate the heat capacity of the oil as follows:

Heat capacity of oil = specific heat of oil × mass of oil

= 2.814 J/g K × 1100 g

= 3095.4 J/K

To find the heat capacity of the entire assembly, we sum the heat capacities of the metal parts and the oil:

Heat capacity of entire assembly = heat capacity of metal parts + heat capacity of oil

= 925.0 J/K + 3095.4 J/K

= 4019.4 J/K

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Related Questions

Alka was making tea in a kettle. Suddenly she felt intense heat from the puff of steam gushing out of the spout of the kettle. She wondered whether the temperature of the steam was higher than that of the water boiling in the kettle. Comment. (2)​

Answers

It is likely that the temperature of the steam is higher than the temperature of the water boiling in the kettle. The intense heat felt by Alka from the puff of steam supports this observation.

In general, the temperature of steam produced from boiling water is higher than the temperature of the water itself. When water boils, it undergoes a phase change from a liquid to a gas, forming steam.

During this phase change, the water absorbs heat energy from the heat source, such as a stove or electric kettle, and converts it into the latent heat of vaporization.

The boiling point of water is 100 degrees Celsius (212 degrees Fahrenheit) at standard atmospheric pressure. At this temperature, the water molecules have enough energy to overcome the intermolecular forces and transition into the gaseous state.

However, steam is hotter than the boiling point of water because it contains additional heat energy in the form of latent heat. The heat energy absorbed during vaporization is stored as latent heat within the steam. As the steam gushes out of the spout of the kettle, it releases this latent heat energy, which can be felt as intense heat.

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What kind of phosphates Ca(OH)2 and NaOH are?

Answers

Both Ca(OH)₂ (calcium hydroxide) and NaOH (sodium hydroxide) are examples of strong bases.

What is a base?

A base is a substance that can accept protons (H) or donate hydroxide ions (OH) in a chemical reaction. strong bases completely dissociate in water, releasing hydroxide ions.

In the case of Ca(OH)₂, when it is dissolved in water, it dissociates into calcium ions and hydroxide ions  The hydroxide ions make it a strong base.

Similarly, NaOH, when dissolved in water, completely dissociates into sodium ions (Na+) and hydroxide ions (OH-), making it a strong base as well.

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Question: What volume of 4.50 M HCI can be
made by mixing 5.65 M HCI with 250.0 mL of
3.55 M HCI?

Answers

Approximately 0.157 liters or 157 milliliters of the 4.50 M HCl solution can be made by mixing the given solutions.

To determine the volume of 4.50 M HCl that can be made by mixing the given solutions, we can use the concept of the concentration-volume relationship:

C1V1 = C2V2

Where:

C1 = concentration of the first solution

V1 = volume of the first solution

C2 = concentration of the second solution

V2 = volume of the second solution

Let's assign the variables as follows:

C1 = 5.65 M

V1 = unknown volume (we'll solve for this)

C2 = 3.55 M

V2 = 250.0 mL = 0.250 L (since the volume is given in milliliters)

Now we can plug in the values into the equation and solve for V1:

(5.65 M)(V1) = (3.55 M)(0.250 L)

Dividing both sides of the equation by 5.65 M:

V1 = (3.55 M)(0.250 L) / 5.65 M

V1 ≈ 0.157 L

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If 37.4 L of oxygen (O2 ) reacts with hydrogen, how many liters of water vapor (H2O ) will be produced?

Answers

The balanced chemical equation for the reaction between oxygen (O2) and hydrogen (H2) to form water vapor (H2O) is:

2H2 + O2 → 2H2O

According to the balanced equation, it shows that 2 moles of H2 reacts with 1 mole of O2 to produce 2 moles of H2O.

To determine the number of moles of O2, we can divide the given volume (37.4 L) by the molar volume of O2 at standard temperature and pressure (STP), which is 22.4 L/mol.

Number of moles of O2 = Volume of O2 / Molar volume of O2 at STP
= 37.4 L / 22.4 L/mol
= 1.67 mol (rounded to two decimal places)

According to the stoichiometry of the balanced equation, 1 mole of O2 reacts to produce 2 moles of H2O. Therefore, we can calculate the number of moles of H2O produced:

Number of moles of H2O = Number of moles of O2 × (2 moles of H2O / 1 mole of O2)
= 1.67 mol × 2
= 3.34 mol (rounded to two decimal places)

Finally, to convert the number of moles of water vapor to liters, we multiply by the molar volume of any gas at STP, which is 22.4 L/mol:

Volume of H2O = Number of moles of H2O × Molar volume of any gas at STP
= 3.34 mol × 22.4 L/mol
= 74.82 L (rounded to two decimal places)

Therefore, 37.4 L of oxygen will react to produce approximately 74.82 L of water vapor.

A chemist determines that a substance is composed of 30.4% nitrogen by mass and 69.6% oxygen by mass. The molar mass of the compound is 230.5 g/mol.

Answers

A chemist determines that a substance is composed of 30.4% nitrogen by mass and 69.6% oxygen by mass. The molar mass of the compound is 230.5 g/mol, the molecular formula is NO₂.

We must compute the empirical formula in order to ascertain the compound's chemical composition.

If we have 100 grams of the compound.

This suggests we have:

30.4 g of nitrogen

69.6 g of oxygen

Now, we have to convert the mass of each element to moles.

The molar mass of nitrogen (N) = 14.01 g/mol

the molar mass of oxygen (O)  =  16.00 g/mol.

Number of moles of nitrogen (N):

2.17 mol

Number of moles of oxygen (O):

4.35 mol

The simplest whole-number ratio between the moles of nitrogen and oxygen must now be determined. To calculate the ratio, we divide both numbers by the smaller value.

Moles N / moles O = 2.17 mol / 2.17 mol = 1.00

Moles O / moles O = 4.35 mol / 2.17 mol = 2.00

The ratio is approximately N₁O₂.

We divide the subscripts by their greatest common divisor to obtain the simplest ratio, since we are looking for the empirical formula. The empirical formula is NO₂ since the greatest common divisor in this situation is 1.

The molecular formula of the compound is NO₂.

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A sample of gas has a mass of 38.6 mg
. Its volume is 222 mL
at a temperature of 57 ∘C
and a pressure of 918 torr
. Find the molar mass of the gas.

Answers

The molar mass of the gas is 3.58 g/mol.

To find the molar mass of the gas

We can use the ideal gas law equation:

[tex]PV = nRT[/tex]

Where

P is the pressure in torrvolume (in milliliters)The number of moles is nR = 62.36 L torr/mol K, the ideal gas constantT is the temperature (in K)

We can rearrange the equation to solve for n:

[tex]n = PV/RT[/tex]

We know the following values:

P = 918 torr

V = 222 mL

R = 62.36 L torr/mol K

T = 57°C + 273 = 330 K

To solve for n, we can enter these numbers into the equation:

n = (918 torr)(222 mL)/(62.36 L torr/mol K)(330 K) = 0.0108 mol

Now, we can use the definition of molar mass to find the molar mass of the gas:

molar mass = mass/number of moles

We know the following values:

mass = 38.6 mg = 0.0386 g

n = 0.0108 mol

We can plug these values into the equation to solve for the molar mass

molar mass = 0.0386 g/0.0108 mol = 3.58 g/mol

Therefore, the molar mass of the gas is 3.58 g/mol.

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How do the varying characteristics of Earth's atmospheric layers affect the types of wavelengths that are reflected back into space, absorbed or allowed to pass to Earth's surface?

Answers

The layers that make up the Earth's atmosphere has unique properties that influence the kinds of wavelengths that are reflected, absorbed, or permitted to pass through to the planet's surface. Three layers are troposphere, stratosphere, and mesosphere.

The troposphere, the first layer closest to the surface of the planet, is where the majority of the planet's weather is found. The temperature in this layer drops with altitude, and it is made up of greenhouse gases like carbon dioxide and water vapor.

The stratosphere, which contains the ozone layer, is the next layer. The sun's dangerous UV light is absorbed by ozone, keeping it from reaching the surface of the Earth.

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Urgent help pleasee



Question 7 (1 point)
The volume of a sample of gas doubled in a weather balloon. What happened to the
temperature?
It increased.
It remained constant.
It cannot be determined.
It decreased.

Answers

Answer:

the temperature increased

Look at the equation for a displacement reaction. Which substance is reduced in the reaction? Give the full name, not the symbols. pls help its due in a few days

Answers

Answer:

chlorine gas is reduced in the reaction.

Please read the question and choose the correct answer. Thank you!

Answers

The ranking of the acids from weakest to strongest is Acid X < acid Z < acid Y.

Option A is correct

What is an acid?

An acid is described as  a molecule or ion capable of either donating a proton, known as a Brønsted–Lowry acid, or forming a covalent bond with an electron pair, known as a Lewis acid.

From the diagram, we can see that  ranking of the acids from weakest to strongest is Acid X < acid Z < acid Y and this means that Acid X is the weakest acid, followed by Acid Z, and Acid Y is the strongest acid.

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Some underwater welding is done via the thermite reaction in which rust (Fe2O3) reacts with aluminum to produce iron and aluminum oxide. In one such reaction, 248g of aluminum and excess rust produced 464g of iron. What was the percent yield of the reaction?

Answers

The percent yield of the reaction is approximately 90.80%. To determine the percent yield of the thermite reaction, we need to compare the actual yield (464g of iron) with the theoretical yield, which can be calculated based on the stoichiometry of the reaction.

To determine the percent yield of the thermite reaction, we need to compare the actual yield (464g of iron) with the theoretical yield, which can be calculated based on the stoichiometry of the reaction.

First, let's calculate the molar masses of the substances involved:

Aluminum (Al): 26.98 g/mol

Rust (Fe2O3): 2*(55.85 g/mol) + 3*(16.00 g/mol) = 159.69 g/mol

Iron (Fe): 55.85 g/mol

Next, we'll determine the moles of aluminum used in the reaction:

Moles of aluminum = mass of aluminum / molar mass of aluminum

Moles of aluminum = 248g / 26.98 g/mol = 9.19 mol

Since there is excess rust, the moles of iron produced will be equal to the moles of aluminum used.

Therefore, the theoretical yield of iron is:

Theoretical yield = moles of iron * molar mass of iron

Theoretical yield = 9.19 mol * 55.85 g/mol = 511.15 g

Now we can calculate the percent yield:

Percent yield = (actual yield / theoretical yield) * 100

Percent yield = (464g / 511.15g) * 100 = 90.80%

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At what temperature in °C does 0.750 mol of an ideal gas occupy a volume of 35.9 L at a pressure of 1.13 atm (R = 0.0821atm*L/mol*K)

Answers

Answer:

386°C

Explanation:

The ideal gas law allows us to solve for different values of a gas.

Ideal Gas Law

In order to do ideal gas calculations, we make the assumption that gas behaves ideally. This means that gases move in completely straight lines, have perfectly elastic collisions, experience no IMFs (intermolecular forces), and have no volume. When we assume these characteristics, we get the equation:

PV = nRT

In this equation, P is pressure, V is volume, n is moles, R is the gas constant, and T is temperature. It is important to note that temperature is always given in Kelvin for the ideal gas law.

Solving For T

To solve for T, all we need to do is plug in the values we were given. The question states:

P = 1.13 atmV = 35.9 Ln = 0.750 molR = 0.0821atm*L/mol*K

Now we just need to solve for T. For clarity, I will leave units out of this calculation.

1.13 * 35.9 = 0.750 * 0.0821 * TT ≈ 658.82 K

This means the temperature is about 658.82 Kelvin. Rounded for sig figs, this is 659K. However, the question asks for Celsius. So, we need to convert. To convert from Kelvin to Celsius, subtract 273.

659K = 386°C

The gas is at 386°C.

Describe the AIR MASSES that would affect the climates of
Florida.
Maine.
Montana.
texas

Answers

The  AIR MASSES that would affect the climates of Florida : are maritime tropical air mass and the maritime polar air mass,

Maine : maritime polar air mass and maritime tropical air mass,

Montana :  continental polar and maritime polar air masses.

Texas :  maritime tropical air masses  and continental tropical air masses

What is known as AIR MASSES?

An air mass is  described as a large body of air with generally uniform temperature and humidity.

An air mass's properties are determined by the region from which it originates. The likelihood that the air mass will take on characteristics of the surface below increases with the amount of time it spends over its source region.

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At standard temperature and pressure , if 25 moles of CH3 combust to give equal moles of CO2 formed will be

Answers

The balanced chemical equation for the combustion of [tex]CH_{3}[/tex] (methane) is:

[tex]CH_{4} + 2O_{2} = > CO_{2} + 2H_{2} O[/tex]

From the balanced equation, we can see that for every mole of [tex]CH_{4}[/tex] combusted, one mole of [tex]CO_{2}[/tex] is formed.

Given that 25 moles of [tex]CH_{3}[/tex] (methane) combust, we can assume that it refers to 25 moles of [tex]CH_{4}[/tex] since they have the same chemical formula.

Therefore, the number of moles of [tex]CO_{2}[/tex] formed will also be 25 moles, as the reaction produces an equal number of moles of [tex]CO_{2}[/tex].

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Please help will give brainliest

Answers

1 double displacement reaction
2 combination reaction
3 combustion reactions
4 single displacement
5 double displacement
6 double displacement

2.
3.
S
6.
7.
19.
8.
9.
4. _HCI+
10 Na
10.
11.
15.
16.
Practice: Balancing Equations #1
Show all work on a separate sheet of paper Place coefficient final answers in the blanks provided.

Answers

The balance equations would be;

1) 2H₂ + O₂ → 2H₂O      2) H₃PO₄ + 3KOH → K₃PO₄ + 3H₂O

3) 6K + B₂O₃ = 3K₂O + 2B    4) HCl + NaOH → NaCl + H₂O

5) 2Na + 2NaNO₃ → 2Na₃O + N₂    6) 4C + 2S₈ → 4CS₂

7) 2Na + O₂ → Na₂O₂     8)   N₂ + 3O₂ → 2N₂O₃

9) H₃PO₄ + 2Mg(OH)₂ → Mg₃(PO₄)₂ + 6H₂O

10)  NaOH + H₂CO₃ → Na₂CO₃ + H₂O   11) KOH + HBr → KBr + H₂O

12) 2H₂ + 2O₂ = 2H₂O₂   13) 4Na + O₂ → 2Na₂O  

14) 2Al(OH)₃ + 3H₂CO₃ → Al₂(CO₃)₃ + 6H₂O   15) 4Al + 3S₈ → 2Al₂S₃

16) 6Cs + N₂ → 2Cs₃N    17) Mg + Cl₂ → MgCl₂  

18) 8Rb + 2RbNO₃ → 5Rb₂O + N₂  19) C₄H₄ + 5O₂ → 4CO₂ + 2H₂O

20) N₂ + 3H₂ → 2NH₃

How do you balance balance chemical equation?

To balance a chemical equation, ensure that the total number of compounds on the left side is the same as the total number on the right side. Let balance equation 11

11. ......KOH + ..... HBr → .....KBr + ....H₂O

There are 2 H on the left which reflects on the right side. It means that the equation is perfect as it is KOH + HBr → KBr + H₂O; unless you want to add more number to the compound.

if we add 2KOH + 2HBr ⇒ 2KBr + 2H₂O

there are 2K, 2O, 4H , 2Br  on the right we have 2k 2Br 4H and 2O

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Convert 80 moles of CH4 to particles of CH4

Answers

A unit of measurement called a mole is used to determine how much of a material there is. We must utilise Avogadro's number, which equals 6.022 x 1023 particles per mole, to convert moles to particles. The Avogadro constant is another name for this quantity.

We must multiply 80 moles of CH4 by Avogadro's number in order to transform it to particles. The computation looks like this: 80 moles x a particle density of 6.022 x 1023 per mole = 4.8176 x 1025 particles. 80 moles of CH4 are therefore equivalent to 4.8176 x 1025 particles.

Particles refer to the individual units, such as atoms or molecules, inside a material, whereas moles are the basic unit used to estimate the amount of a substance. Approximately 6.022 x 1023 particles per mole, or Avogadro's number, serves as a conversion factor between moles and particles.

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Is vinegar a lactic acid?

Answers

Answer-No, vinegar is not a lactic acid.

Based on your graph, at what temperature would the solubility of potassium nitrate be 95 g/100 ml H202

Answers

Based on the graph, the temperature at which the solubility of potassium nitrate would be 95 g/100 ml H₂O is 55°C.

What is a solubility curve?

A solubility curve is a graph that shows the relationship between the solubility of a substance and temperature.

It illustrates how the amount of solute that can dissolve in a given amount of solvent changes with variations in temperature.

Typically, a solubility curve is plotted with the concentration of the solute (usually in grams) on the vertical axis and the temperature (usually in degrees Celsius) on the horizontal axis.

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Chem hess’s law

Calculate AH for the reaction: C2H4 (9) + H2 (9) -> CaH6 c) from the following

Answers

Considering the Hess's Law,  the enthalpy change for the reaction is -136.8 kJ.

Definition of Hess's Law

Hess's Law indicates that the enthalpy change in a chemical reaction will be the same whether it occurs in a single stage or in several stages. That is, the sum of the ∆H of each stage of the reaction will give us a value equal to the ∆H of the reaction when it occurs in a single stage.

∆H of the reaction in this case

In this case you want to calculate the enthalpy change of:

C₂H₄ + H₂ → C₂H₆

which occurs in three stages, with their corresponding enthalpies:

Equation 1: C₂H₄ + 3 O₂ → 2 CO₂ + 2 H₂O    ΔH = –1411 kJ

Equation 2:  C₂H₆ + 3 1/2 O₂ → 2 CO₂ + 3 H₂O     ΔH = –1560 kJ  

Equation 3: H₂ + 1/2 O₂ → H₂O     ΔH = - 285.8 kJ

Because of the way formation reactions are defined, any chemical reaction can be written as a combination of formation reactions, some going forward and some going back.

In this case, to obtain the enthalpy of the desired chemical reaction you need one C₂H₆ on product side and it is present in second equation on product side.  So, it is necessary to locate the C₂H₆ invert it. When an equation is inverted, the sign of delta H also changes.

Then, you know that three equations with their corresponding enthalpies are:

Equation 1: C₂H₄ + 3 O₂ → 2 CO₂ + 2 H₂O    ΔH = –1411 kJ

Equation 2:  2 CO₂ + 3 H₂O → C₂H₆ + 3 1/2 O₂     ΔH = 1560 kJ  

Equation 3: H₂ + 1/2 O₂ → H₂O     ΔH = - 285.8 kJ

Adding or canceling the reactants and products as appropriate, and adding the enthalpies algebraically, you obtain:

C₂H₄ + H₂ → C₂H₆     ΔH= -136.8 kJ

Finally, the enthalpy change for the reaction is -136.8 kJ.

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What is the freezing point, in °C, of a 0.41 m solution of C5H4 in benzene?​

Answers

Answer: 3.4008

Explanation:

Answer: 3.4008

To determine the freezing point of the solution, we need to use the freezing point depression equation:

ΔT = Kf * m

Given:

Kf (benzene) = 5.12 °C/m

m = 0.41 m

Substituting the values into the equation:

ΔT = 5.12 °C/m * 0.41 m

ΔT = 2.0992 °C

To find the freezing point, we subtract the freezing point depression from the freezing point of the pure solvent (benzene). The freezing point of benzene is 5.5 °C.

Freezing point = FP (benzene) - ΔT

Freezing point = 5.5 °C - 2.0992 °C

Freezing point = 3.4008 °C

Therefore, the freezing point of the 0.41 m solution of C5H4 in benzene is approximately 3.4008 °C.

THIS IS SIENCE BUT THEY DIDNT HAVE A SCIENCE OPTION!!!
I need this right now btw .

“ DNA is a nucleic acid. Where is DNA primarily found in an animal cell? “

Answers

Answer:DNA, along with RNA and proteins, is one of the three major macromolecules that are essential for life. Most of the DNA is located in the nucleus, although a small amount can be found in mitochondria (mitochondrial DNA). Within the nucleus of eukaryotic cells, DNA is organized into structures called chromosomes.

Explanation: science

how to synthesize 2-benzyl pentanoic acid from acetoacetic ester?

Answers

If you're attempting to synthesize 2 benzyl pentanoic acid from acetoacetic ester, keep in mind that you can do so fairly quickly by following these simplified instructions:

Begin by dissolving your acetoacetic ester into anhydrous diethyl ether and adding benzyl bromide and sodium hydroxide to the mix.

Stir it all together at room temperature for around thirty minutes before  reacting it with hydrochloric acid so that any remaining solvent evaporates out of your crude mixture;

Lastly refine your creation by recrystallizing it from ethanol until you have pure 2 benzyl pentanoic acid.

What is acetoacetic ester?

From its pungent free scent to its solid state at temperatures ranging from 118 120°C, acetoacetic ester (better known as ethyl acetoacetate) offers significant value for those working within organic synthesis.

As one of many potent ketones utilized by researchers around the globe its unique properties make it ideal for building complex molecules essential for modern medicine and more.

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When evaluating a college or university, what is one thing to which the cost should be directly compared?(1 point)


average starting salary


acceptance rates


graduation rates


reputation

Answers

When evaluating a college or university, one important factor to which the cost should be directly compared is the average starting salary of graduates.

Return on Investment: The cost of attending a college or university is a significant financial commitment. By comparing the cost with the average starting salary of graduates, you can assess the potential return on investment.

Job Market Competitiveness: Comparing the cost to the average starting salary helps gauge the competitiveness of graduates in the job market. A higher starting salary suggests that the institution's programs and curriculum are aligned with industry demands, and employers value the skills and knowledge gained from attending that college or university.

Affordability and Financial Planning: Understanding the relationship between the cost and average starting salary helps in assessing affordability. If the cost is significantly higher than the expected starting salary, it may raise concerns about the financial burden and the ability to repay student loans.

It's important to note that while the average starting salary is a valuable metric, it should not be the sole factor in evaluating a college or university. Other factors such as the quality of education, reputation, available resources, faculty expertise, alumni network, and student support services should also be considered.

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How many moles of (NH4)2S would be dissolved in 250. mL of a 1.50 M solution?
a.) 6.00 mol
b.) 0.167 mol
c.) 0.375 mol
d.) 3.00 mol

Answers

Answer:

C:.375

Explanation:

100 points!!!
And I’ll mark as brainliest!!
Tasks are in the picture.

Answers

In an acetic acid solution:

31.6 mL of 4.50 M sodium hydroxide must be added.The pH of the buffer is 4.86.0.00285 g of sodium propanoate must be dissolved.The pH of the buffer is 4.74.

How to determine amount and pH?

1. To make a buffer with pH = 5.00, have a ratio of

[tex]\frac{[A-]}{[HA]} = 10^{-5.50}[/tex] = 0.316.

The volume of sodium hydroxide needed:

V(NaOH) = (0.316 M - 0.200 M) / 4.50 M = 0.0316 L = 31.6 mL

Therefore, 31.6 mL of 4.50 M sodium hydroxide must be added to 250.0 mL of 0.200 M acetic acid solution to make a buffer with pH = 5.00.

2. The pH of the buffer is calculated as follows:

pH = pKa + log([tex]\frac{[A-]}{[HA]}[/tex])

= 4.76 + log(0.2/0.1)

= 4.86

Therefore, the pH of the buffer is 4.86.

3. The mass of salt that must be dissolved in 0.25 dm³ of 1 mol dm³ propanoic acid to give a buffer of pH 4.87:

[tex]\frac{[A-]}{[HA]} = 10^{-4.87}[/tex] = 0.0114

Therefore, the mass of acetate that must be dissolved:

Mass of acetate = (0.0114 mol dm³)(0.25 dm³) = 0.00285 g

Therefore, 0.00285 g of sodium propanoate must be dissolved in 0.25 dm³ of 1 mol dm³ propanoic acid to give a buffer of pH 4.87.

4. The pH of the buffer is calculated as follows:

pH = pKa + log([tex]\frac{[A-]}{[HA]}[/tex])

= 4.74 + log(0.1/0.1)

= 4.74

Therefore, the pH of the buffer is 4.74.

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PHYSIC
A particle with a charge of -1.24*10^-8 C is moving with instantaneous velocity V=(4.19*10^4 m/s)i + (-3.85*10^4 m/s)j
a) What is the force exerted on this particle by a magnetic field B=(2.80 T)i? Express the x , y , and z
components of the force in newtons separated by commas.
Fx, Fy, Fz = .... N
b)What is the force exerted on this particle by a magnetic field B=(2.80 T)k?
Express the x
, y
, and z
components of the force in newtons separated by commas.
Fx, Fy, Fz = .... N

Answers

When the magnetic field is in the x-direction, the force on the particle is only in the y-direction (Fy = 1.338 * 10^-4 N), while when the magnetic field is in the z-direction, the force is only in the y-direction (Fy = 1.457 * 10^-4 N).

To calculate the force exerted on the particle by a magnetic field, we can use the equation:

F = q * (V x B)

where F is the force vector, q is the charge of the particle, V is the velocity vector, and B is the magnetic field vector.

Given:

q = -1.24 * 10^-8 C (charge of the particle)

V = (4.19 * 10^4 m/s)i + (-3.85 * 10^4 m/s)j (velocity of the particle)

B = (2.80 T)i (magnetic field)

Let's calculate the force:

F = (-1.24 * 10^-8 C) * ((4.19 * 10^4 m/s)i + (-3.85 * 10^4 m/s)j) x (2.80 T)i

The x, y, and z components of the force are:

Fx = 0 N

Fy = 1.338 * 10^-4 N

Fz = -1.44 * 10^-4 N

To calculate the cross product, we use the following rules:

i x i = j x j = k x k = 0

i x j = k

j x k = i

k x i = j

j x i = -k

k x j = -i

Expanding the equation, we get:

F = (-1.24 * 10^-8 C) * [(4.19 * 10^4 m/s)(2.80 T)k - (-3.85 * 10^4 m/s)(2.80 T)j]

F = (-1.24 * 10^-8 C) * (11.692 * 10^4 T)m/s k + (10.78 * 10^4 T)m/s j

F = -1.44 * 10^-4 N k + 1.338 * 10^-4 N j

Now, let's calculate the force exerted on the particle by a magnetic field B = (2.80 T)k:

F = q * (V x B)

Given:

q = -1.24 * 10^-8 C (charge of the particle)

V = (4.19 * 10^4 m/s)i + (-3.85 * 10^4 m/s)j (velocity of the particle)

B = (2.80 T)k (magnetic field)

Using the same formula as before, we have:

F = (-1.24 * 10^-8 C) * [(4.19 * 10^4 m/s)i + (-3.85 * 10^4 m/s)j] x (2.80 T)k

Expanding the cross product:

F = (-1.24 * 10^-8 C) * (-2.80 T)(4.19 * 10^4 m/s)j

F = 1.457 * 10^-4 N j

Therefore, the x, y, and z components of the force are:

Fx = 0 N

Fy = 1.457 * 10^-4 N

Fz = 0 N

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Use the information in the chart below to find the empirical for the compound. If the molar mass for the compound is 197.31 g/mol, what is the molecular formula for the compound?

Element

Percent Composition (%)

Barium, Ba

69.59

Oxygen, O

24.32

Carbon, C

6.09

Answers

If the molar mass for the compound is 197.31 g/mol the molecular formula of the compound will be BaCO₃. Molar mass of empirical formula (BaCO₃).

Molar mass = (1 × molar mass Ba) + (1 × molar mass of C) + (3 × molar mass of O)

Molar mass = (1 × 137.33 g/mol) + (1 × 12.01 g/mol) + (3 × 16.00 g/mol)

Molar mass = 137.33 g/mol + 12.01 g/mol + 48.00 g/mol

Molar mass = 197.34 g/mol

The molar mass of the empirical formula (BaCO₃) is approximately 197.34 g/mol.

To find the molecular formula, we need to divide the given molar mass (197.31 g/mol) by the molar mass of the empirical formula (197.34 g/mol) and round to the nearest whole number:

Molar mass ratio = molar mass of molecular / molar mass of empirical

Molar mass ratio = 197.31 g/mol / 197.34 g/mol = 0.9999

Rounding it to 1.

The molecular formula is the same as the empirical formula, which is BaCO₃.

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A temperature rise of 3.30 ± 0.60 °C was measured when a reaction was carried out in a calorimeter with a heat capacity of 0.862 ± 0.012 kJ °C -1 .
The enthalpy change (Δ H ) was worked out as -2.84 kJ by using the equation:

Enthalpy change (Δ H ) = heat capacity ( c ) × temperature change ( T )

What is the root-squared error (in kJ) for Δ H ?

Answers

To calculate the root-squared error for ΔH, we need to consider the uncertainties associated with both the heat capacity (c) and the temperature change (T) in the equation.

Temperature change (T) = 3.30 ± 0.60 °C

Heat capacity (c) = 0.862 ± 0.012 kJ °C^(-1)

To calculate the root-squared error, we need to propagate the uncertainties using the formula:

(root-squared error)^2 = (partial derivative of ΔH with respect to c * error in c)^2 + (partial derivative of ΔH with respect to T * error in T)^2

The partial derivative of ΔH with respect to c = T

Error in c = 0.012 kJ °C^(-1)

The partial derivative of ΔH with respect to T = c

Error in T = 0.60 °C

Substituting the values into the formula:

(root-squared error)^2 = (T * error in c)^2 + (c * error in T)^2

= (3.30 °C * 0.012 kJ °C^(-1))^2 + (0.862 kJ °C^(-1) * 0.60 °C)^2

Calculating this expression:

(root-squared error)^2 ≈ (0.0396 kJ)^2 + (0.5172 kJ)^2

≈ 0.00157 kJ^2 + 0.2672 kJ^2

≈ 0.2688 kJ^2

Finally, taking the square root of the result:

root-squared error ≈ √(0.2688 kJ^2)

≈ 0.518 kJ

Therefore, the root-squared error for ΔH is approximately 0.518 kJ.

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electrons in 1.5 mol of electron

Answers

In 1.5 mol of electrons, the number of electrons can be calculated using Avogadro's number, which states that there are approximately 6.022 × 10^23 particles (atoms, molecules, or electrons) in one mole of a substance.

So, in 1 mole of electrons, there are 6.022 × 10^23 electrons.

To find the number of electrons in 1.5 mol of electrons, we can multiply the number of electrons in 1 mole by 1.5:

Number of electrons = 1.5 mol × (6.022 × 10^23 electrons/mol)

Calculating this expression gives:

Number of electrons = 9.033 × 10^23 electrons

Therefore, there are approximately 9.033 × 10^23 electrons in 1.5 mol of electrons.

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