By ideal gas approximation, the temperature of methane gas is 361.01 K.
We need to know about the ideal gas theory to solve this problem. The ideal gas is assumed that there is no interaction between particles in a gas. It can be determined by the equation
P . V = n . R . T
where P is pressure, V is volume, n is the number of moles gas, R is the ideal gas constant (8.31 J/mol.K) and T is temperature.
From the question above, we know that
V = 20 L = 0.02 m³
P = 30 x 10⁵ Pa
n = 20 moles
By substituting the following parameters, we get
P . V = n . R . T
30 x 10⁵ . 0.02 = 20 . 8.31 . T
166.2T = 6 x 10⁴
T = 361.01 K
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The boiling point of water is 100°C. The boiling point of acetone is 56°C. Which statement about distilling a mixture
of acetone and water is correct? (1 point)
O Acetone remains in the in original container.
O Water will vaporize from the mixture before acetone.
O Acetone will vaporize from the mixture before water.
•
Water is collected as it leaves the mixture.
Answer:
Acetone will vaporize from the mixture before water.
Explanation:
You have mentioned that the bp of water is 100°C and the bp of acetone is 56°C.We know that in the distillation process of mixture the substance having low bp vaporizes,condenses and gets collected in the separete container before the one having high bp.So the one having high bp remains in the original container and that is water.
Thus, the second option is correct.
What is the ph of a solution formed by adding 4.3 x 10-5 moles of koh in one liter of water? question 22 options: 2.3 x 10-10 4.4 7.0 9.6 4.3 x 10-5
The pH of the solution formed by adding 4.3 * 10^-5 moles of KOH in one litre of water is 9.6.
Given:
No. of moles of KOH = 4.3 * 10^-5 moles
Volume of solution = 1L
Molarity = No. of moles / Volume of solution
M = 4.3 * 10^-5 / 1
M = 4.3 * 10^-5
p[OH] = -log[OH^-]
p[OH] + p[H] = 14
pH = 14 - pOH
pOH = 14 - pH
14 - pH = -log(4.3 * 10^-5)
14 - pH = 4.3
pH = 14 - 4.3
pH = 9.6
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A man heats a balloon in the oven. The balloon initially measures 0.402 L with a temperature of 20.0°C, what will the volume of the balloon be after he heats it to a temperature of 250.0°C?
The volume of the balloon after he heats it to a temperature of 250.0°C is 0.718L.
How to calculate volume?The volume of a balloon at a particular temperature can be calculated by using the Charles law formula as follows:
V1/T1 = V2/T2
Where;
V1 = initial volumeV2 = final volumeT1 = initial temperatureT2 = final temperatureAccording to this question, a man heats a balloon in the oven. The balloon initially measures 0.402L with a temperature of 20.0°C. However, the volume of the balloon after he heats it to a temperature of 250.0°C can be calculated as follows:
T1 = 20°C + 273 = 293KT2 = 250°C + 273 = 523K0.402/293 = V2/523
523 × 0.402 = 293V2
210.25 = 293V2
V2 = 210.25/293
V2 = 0.718L
Therefore, the volume of the balloon after he heats it to a temperature of 250.0°C is 0.718L.
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What is the difference between nuclear fission and nuclear fusion?
A
Nuclear fusion explodes the nucleus of an atom, while nuclear fission harnesses the atom’s kinetic energy.
B
Nuclear fission splits an atom apart, while nuclear fusion fuses two atoms together.
C
Nuclear fission creates electrical energy, while nuclear fusion creates chemical energy.
D
Nuclear fusion splits hydrogen atoms apart, while nuclear fission fuses uranium atoms together.
Nuclear fission splits an atom apart, while nuclear fusion fuses two atoms together. Option B.
Nuclear fission vs Nuclear fusionIn nuclear fission, a heavy nucleus or atom splits into smaller and lighter nuclei or atoms. Energy is released during this process as well.
In contrast, nuclear fusion has to do with the coming together of 2 or more light nuclei or atoms to form a single heavy nucleus or atom. This process requires that energy is consumed.
Thus, nuclear fission can be thought of as a process that splits an atom apart, while nuclear fusion fuses two atoms together.
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bromothymol blue (btb) is a chemical that indicates the presence of carbon dioxide in water. if a beaker of water is mixed with btb, what color will water turn to determine if there is a large amount of carbon dioxide present in the water
An indicator dye called bromothymol blue (BMB) turns yellow in the presence of an acid. The pH of the solution is lowered when carbon dioxide is added because carbonic acid is formed as a result.
What takes place when carbon dioxide and bromothymol blue interact?An indicator dye called bromothymol blue (BMB) turns yellow in the presence of an acid. The pH of the solution is lowered when carbon dioxide is added because carbonic acid is formed as a result.
What shade of blue does bromothymol take on in hydrochloric acid?Bromothymol blue with concentrated hydrochloric acid is the magenta color on the left. Bromothymol blue can be used as a respiratory indicator or for monitoring photosynthetic processes (turns yellow as CO 2 is added). Exhaling via a tube into a neutral BTB solution is a typical way to demonstrate BTB's pH indicator abilities.
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when gas molecules are cool they are sluggish and they take up less space. question 4 options: true false
Yes this statement is true
when gas molecules are cool they are sluggish and they take up less space this yes this statement is true because when gas is cool in that gas particles they are stop moving about so fast and eventually form liquid and take up less space this process is called as condensation and occur at same temperature as boiling and cooling in gas molecule also decrease the speed of the molecule.
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tin(iv) sulfide, sns2, a yellow pigment, can be produced using the following reaction. snbr4(aq) 2na2s(aq)⟶4nabr(aq) sns2(s) suppose a student adds 35.2 ml of a 0.419 m solution of snbr4 to 51.1 ml of a 0.203 m solution of na2s.
The theoretical yield of SnS₂ will be 4.20 gram can be produced using the following reaction
From the equation of the reaction:
The mole ratio of the reactant is 1:2.
Mole of 35.2 mL, 0.419 M SnBr₄ = 0.419 x 35.2/100 = 0.147 mols
Mole of 51.1 mL, 0.203 M Na₂S = 0.203 x 51.1/1000 = 0.0103 moles
Thus, Na₂S is in excess while SnBr4 is limiting.
Mole ratio of SnBr₄ and SnS₂ = 1:1
Equivalent mole of SnS₂ = 0.023 moles
Mass of 0.023 moles SnS₂ = 0.023 x 182.81 = 4.20 grams
Theoretical Yield Formula :The quantity of a product obtained from a reaction which is expressed in terms of the yield of the reaction. the quantity of product predicted by stoichiometry is called the theoretical yield, whereas the quantity obtained actually is called the actual yield.
Is theoretical yield the limiting reactant?
A limiting reagent may be a chemical reactant that limits the amount of product that is formed. The limiting reagent gives the littlest yield of product calculated from the reagents (reactants) available. This smallest yield of product is named the theoretical yield.
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suppose you were given a substance and asked to determine whether it was a plasma. what characteristics would be true of the substance for it to be a plasma? check all that apply. the particles in the substance would collide more often.
Plasmas that heat up at the same temperature as their surroundings.
What are Plasmas ?In the substance known as plasma, a large number of electrons are free to move about among the atomic nuclei. The fourth state of matter, after solid, liquid, and gas, has been referred to as plasma. In a sample of matter that is solid, liquid, or gaseous, the electrons typically stick with the same atomic nucleus.
Although plasmas resemble gases, their atoms differ because they are composed of free electrons and ions of an element like neon (Ne). When you look around, you don't come across spontaneously occurring plasmas very frequently. They aren't occurrences that occur frequently on Earth.
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Mercury metal is poured into a graduated cylinder that holds exactly 20 mL. The mercury used to fill the cylinder has a mass of 306.0 g. From this information, calculate the density of mercury.
*
Don't forget the units!
compound present in many foods has the formulka c44h86o8np. to which class of molecules does this compound belong?
The class to which the compound present in several foods with the formula C44H86O8NP belongs to is lipids.
What are class of compounds?
Compound Classification Compounds can be divided into ionic and covalent classes based on how they form. When a metal and a non-metal come together, ionic compounds are created. Due to the presence of ions, they are also known as electrovalent compounds.
The MMPE compound is the one that makes up the chemical's molecule. Monomethylphosphatidylethanolamine is referred to as MMPE. It is a member of the lipids class and is found in a variety of foods.
Thus the molecule belongs to the class of lipids.
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How many significant figures are in the number 1.89 ' 10³?
A. 3
B. 1
C. 4
D. 5
E. 2
Answer:
A. 3
____________________________________________
What are significant figures?
Significant figures are used to establish the number which is presented in the form of digits. These digits carry a meaningful representation of numbers. The term significant digits are also used often instead of figures. We can identify the number of significant digits by counting all the values starting from the 1st non-zero digit located on the left. For example, 12.45 has four significant digits.
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Answer: A
Explanation:
1.89 ==> 1 + 8 + 9 ==> 3 sig figs ==> A
how are pure carbon, oxygen, and hydrogen different from the compound ethenol which contain all three of those elements?
Carbon, Oxygen and Hydrogen are pure elements with their unique properties and ethanol is a compound with completely different properties made with a mixture of these three elements.
Carbon is a greyish black solid in its pure form. Oxygen in its pure form is a colourless, odourless and tasteless gas. Hydrogen is a colourless, odourless, tasteless, non-toxic and highly combustible gas in its pure form.
Ethanol, having all the three mentioned elements is an organic compound with a characteristic pungent taste and wine-like odour. Ethanol is a colourless, flammable and volatile liquid.
Ethanol is generally produced due to natural fermentation of alcohols and sugars. It is chemically written as [tex]C_2H_5OH[/tex] and has a molar mass of 46.07g/mol and boiling point of 78.37℃.
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PLEASE HELP ASAP! 2 grams of potassium (K) reacts with 5 grams of Oxygen (O). According to the Law of Conservation of Mass, how many grams of potassium oxide (K2O) will be produced?
O 10 grams
O 7 grams*
O 2 grams
O 5 grams
I think it is 7, however could someone confirm please?
Answer:
7
Explanation:
yeah you just need to add 2 grams of potassium to 5 grams of oxygen
To solve this question we must know the concept of stoichiometry. Thus, 2.355ggrams of K₂O can be produced from 2 grams of K and 5 grams of O₂. option c is correct option
What is stoichiometry?Stoichiometry is a part of chemistry that help us in making relationship between reactant and product from quantitative aspects.
The balanced equation is
4 K + O₂ → 2 K₂O
From stoichiometry we can draw the following information
K: 4 moles
O₂: 1 mole
K₂O: 2 moles
The molar mass of the compounds is:
K: 39.1 g/mole
O₂: 32 g/mole
K₂O: 94.2 g/mole
The mole of respective molecule is
K: 2g÷39.1 g/mole= 0.05mole
O₂: 5g ÷32 g/mole= 0.15mole
K will be the limiting reagent.
4 mole of K produces= 2 mole of K₂O
1 mole of K produces=1/2 mole of K₂O
0.05 mole of K produces = (1/2)×0.05
= 0.025mole
mass of K₂O= 94.2 g/mole×0.025mole =2.355g
Thus, 2.355ggrams of K₂O can be produced from 2 grams of K and 5 grams of O₂. option c is correct option
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balance the following chemical equation, then answer the following question. c8h18(g) o2(g)→co2(g) h2o(g) how many grams of oxygen are required to react with 20.0 grams of octane ( c8h18 ) in the combustion of octane in gasoline?
The balanced equation is a combustion reaction . The reaction is as follows:
2C₈H₁₈(g) + 25O₂(g) →16CO₂(g)+18H₂O(g)
Equating :
The number of moles in 20 grams of octane can be calculated as follows:
No. Of moles=mass/relative molecular mass.
=20/(12*8+1*8)
=20/104
=0.2moles
The reaction ratio is 2:25
Hence if 2 moles octane react with 25 moles of oxygen
According to the law of conservation of mass, the mass of the products must be same because the mass of the reactants in every chemical equation. Thus the amount of atoms of every element must be same on both sides of the equation.
2 moles of octane weigh = 2×114g/mol
= 228g
25 moles of oxygen weigh = 25 × 32g/mol
= 800g
Thus 228 g of octane reacts with 800 g of Oxygen.
20 g of octane reacts with g of Oxygen.
= [tex]\frac{800}{228} *20 = 70.2 g of oxygen[/tex]
What is combustion in a reaction?
combustion, a reaction between substances, usually including oxygen and typically accompanied by the generation of heat and light in the form of flame.Examples of Combustion Reactions
Imagine the wood burning during a fireplace. The wood is fuel which continuously reacts with oxygen within the air in a combustion reaction. the hearth produced is energy being released in a long exothermic reaction, while the smoke you see is CO2
What is the product of combustion reaction?
For a combustion reaction, the products will always be CO₂ (CO₂ C O 2 ) and water (H₂O H 2 O ). Combustion reactions always have two products: CO₂ and water.
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Write the net ionic equation for the precipitation of aluminum phosphate from aqueous solution
The balanced net ionic equation when aqueous solutions of Al(NO₃)₃ and Na₃PO₄ are mixed is:
Al³⁺(aq) + PO4³⁻(aq)(aq) → AlPO₄(s)
Balanced molecular chemical equation:
Al(NO₃)₃ (aq) + Na₃PO₄(aq) → AlPO₄(s) + 3NaNO₃(aq)
The balanced ionic equation:
Al³⁺(aq) + 3NO₃⁻(aq) + 3Na⁺(aq) + PO₄³⁻(aq) → AlPO₄(s) + 3Na⁺(aq) + 3NO₃⁻(aq)
The balanced net ionic equation: Al³⁺(aq) + PO₄³⁻(aq) → AlPO₄(s)
Aluminium phosphate (AlPO₄) is a white solid inorganic compound.
(s) is solid state of matter.
(aq) is aquatic solution
This is an example of the double replacement reactions (double displacement or metathesis reactions), two ionic compounds are exchanged, making two new compounds.
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calculate the ph of a dilute solution that contains a molar ratio of potassium acetate to acetic acid (pka
The ph of a dilute solution that contains a molar ratio of potassium acetate to acetic acid is 5,46.
pH pKa log
pH 4.76 log ([acetate]/[acetic acid]), where [acetate]/[acetic acid] is the ratio given for each part of the question.
pH = pka + log [acetate/acetic acid]
pH = 4.76 + log ( 5/1)
pH = 5.46
What is acetic acid?Ethanoic acid, ethylic acid, vinegar acid, and methane carboxylic acid are other names for acetic acid, which has the chemical formula CH3COOH.
As a byproduct of fermentation, acetic acid gives vinegar its distinctive smell. About 4-6% of the acetic acid in vinegar is water.
Acetic acid, officially known as ethanoic acid, is an organic molecule with the chemical formula CH3COOH that is acidic and colorless. Apart from water and other trace ingredients, vinegar has at least 4% acetic acid by volume, making acetic acid its primary ingredient.
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educible complexity is the idea that many molecular machines are simply too complex to have formed via evolution.
irreducible complexity is the idea that many molecular machines are simply too complex to have formed via evolution.
What is irreducible complexity?
According to the irreducible complexity (IC) theory, no less complex system would function if some biological systems had evolved by natural selection from a series of minor adjustments to pre-existing functional systems. The creationist theory of intelligent design has made irreducible complexity a core tenet, whereas science rejects both intelligent design and the idea of irreducible complexity. One of the two primary defences of intelligent design, along with specified complexity, is known as irreducible complexity.
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for what maximum kinetic energy is a collision between an electron and a hydrogen atom in its ground state definitely elastic?
Maximum Kinetic energy is 10.2
What is maximum K.E. ?A photoelectron's maximum kinetic energy at a particular frequency. = ℎ − , m an x, where h is that the Planck constant, f is that the frequency of the incoming photon, and W is that the work function of the metal surface, gives the maximal K.E. of a photo electron.
Evaluating :Measurements are made of the cross section for the elastic scattering of electrons with energies lower than 10.2 eV by free hydrogen atoms. A dc beam crossed an atomic hydrogen beam that was chopped at a low frequency in an experiment that was similar to Bederson's in that a signal was produced from the electrons dispersed by the particles in the neutral beam.
The signal from the electrons that were dispersed by the beam appeared at the modulation frequency and at a predetermined phase, with their identification.
The ratio of the hydrogen atom's and therefore the molecule's cross sections was directly measured, and absolute values for the atomic cross section were calculated using absolutely the molecular cross-section.The experimental findings support the thought .
Electron energy within the ground state is 0.13.6
Second energy level: 3.4; overall energy state difference: 10.2
Thus, K.E. equals 10.2.Therefore, we are aware that some electron K.E. was transmitted to the hydrogen atom during an elastic collision.
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An object with a mass of 11.0 kg accelerates 7.0 m/s2 when an unknown force is applied to it. What is the amount of the force?
Answer:
77N
Explanation:
f=ma
f=11×7
force= 77N
what is the relationship between the coefficients in a balanced chemical equation for an overall reaction and the exponents in the rate law?
For elementary reaction, coefficients in a balanced chemical equation are the same as the exponents in the rate law.
Can you determine the rate law from the balanced chemical equation?For elementary reactions, the order of the elementary reaction is that the same as its molecularity. In contrast, the speed law cannot be determined from the balanced chemical equation for the overall reaction
Do coefficients affect reaction rate?
But the coefficient affects the worth of rate constant K. the worth of the coefficient k changes with the conditions that affect reaction rate, like temperature, pressure, area , etc. A smaller rate constant value shows that the reaction is slow, while a bigger rate constant indicates a faster reaction.
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design an experiment discussing how you will determine what your unknown sample is using a flame test.
The flame test uses the distinctive color that salt gives the flame of a Bunsen burner to help visually identify an unknown metal or metalloid ion. The metal ions become excited atoms due to the flame's heat, and these excited atoms release visible light.
An orange-red flame test color is produced by a sample of an ionic chemical. Find the metal ion that is present. Pour a clean wire loop into a solid sample of the substance being tested to conduct a flame test.
Place the loop into the edge of a Bunsen burner's blue flame.
examine and note the hue of the flame that is produced.
The flame test's colors are a result of the electrons' excitement as a result of the elevated temperature.
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How many atoms comprise the motif of a cf or fcc crystal which has a unit cell that contains 256 atoms?
The no. of atoms comprise the motif of a fcc orb.
14 unit atoms make up 1 unit cell
256 atoms will make up 256/14 unit cells. = 18 unit cells.
What is an fcc lattice?
In the FCC structure, there are six atoms in the centre of each of the six unit cell faces and eight atoms in each of the unit cell's eight corners. Consequently, 8 + 6 = 14 atoms make up a unit cell.
One of the most typical atomic arrangements in pure solids is the Face-Centered Cubic (FCC) crystal structure. FCC has an APF of 0.74 because it is tightly packed. FCC is also incredibly ductile and has 12 distinct slip systems.
The number of atoms in a face-centered cubic unit cell is four. A line that runs diagonally from a cube's top corner to its bottom corner on the same side of the cube is equivalent to 4r.
14 unit atoms make up 1 unit cell
Thus, 256 atoms will make up 256/14 unit cells. = 18 unit cells.
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Nitriles can be converted into carboxylic acids. how would you use ir spectroscopy to monitor the progress of this reaction?
Fats or oils are created when the hydroxide group of glycerol combines in a dehydration synthesis process with the carboxyl group of fatty acids.
What is dehydration ?Your body loses more fluids when you are dehydrated than you are taking in. If unattended to, it could get worse and become a serious problem.
When you don't drink enough water or lose more than you take in, you become dehydrated. Sweat, tears, vomiting, urination, and diarrhea all cause fluid loss. Climate, level of physical activity, food, and other variables can all affect how severe dehydration is.
Dark urine, decreased urination, headaches, weariness, dry skin, decreased skin turgor, and poor focus are all indicators of dehydration.
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F 45.0 ml of 1.200 m of aqueous silver nitrate and 120.0 ml of 0.850 m of aqueous magnesium chloride are mixed, what mass (in g) of the precipitate will form?
The mass of the precipitate (AgCl) formed when 45.0 ml of 1.200 m of aqueous silver nitrate was mixed with 120.0 ml of 0.850 m of aqueous magnesium chloride is 7.73928 g.
Precipitate refers to the insoluble ionic solid products of a reaction. The formation of precipitate occurs when certain cations and anions combine in an aqueous solution.
To know the mass of the precipitate formed when aqueous silver nitrate and aqueous magnesium chloride are mixed, first is to get its balanced chemical reaction.
[tex]MgCl_{2(aq)} +2AgNO_{3(aq)}= 2AgCl_{(s)} +Mg(NO_{3} )_{2(aq)}[/tex]
This is a precipitation reaction where AgCl is the precipitate.
If the 45.0 ml aqueous silver nitrate has a concentration of 1.200 M, then
moles of solute = concentration x liters of solution
moles of AgNO3 = 1.200 mol/L x 0.045 L
moles of AgNO3 = 0.054
If the 120.0 ml aqueous magnesium chloride has a concentration of 0.850 M, then
moles of solute = concentration x liters of solution
moles of MgCl = 0.850 mol/L x 0.120 L
moles of MgCl = 0.102
From the balanced reaction, the mole ratio of the reactants and products are:
1 : 2 : 2 : 1
1 mole magnesium chloride mixed with 2 moles silver nitrate will produce 2 moles silver chloride and 1 mole magnesium nitrate
If there are 0.054 moles AgNO3, then it should react with 0.027 moles MgCl. The calculated number of moles of MgCl is in excess, thus making the AgNO3 the limiting reagent. The amount of product formed is limited by this reagent.
If there are 0.054 moles AgNO3, mixed with excess MgCl will produce 0.054 moles AgCl.
To solve for its mass, use the formula for its molar mass.
mass = molar mass x moles
mass AgCl = 143.32 g/mol x 0.054 moles AgCl
mass AgCl = 7.73928 g
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A conductor is distinguished from an insulator with the same number of atoms by the number of:_____.
A conductor is distinguished from an insulator with the same number of atoms by the number of nearly free electrons.
What are conductors and insulators?Whether an object is made of conductive or nonconductive material affects how it behaves once it has been charged. Electrons can move freely between particles when they are in conductors, which are substances. The charge can be transported across the whole surface of an object constructed of a conducting substance.
A charge is swiftly dispersed across the full surface of the object if it is applied to it at a specific point. The motion of the electrons causes the distribution of charge. A charged object will constantly disperse its charge until the overall repulsive interactions between surplus electrons are minimized because conductors allow electrons to be moved from particle to particle.
Insulators, as opposed to conductors, are substances that prevent electrons from freely moving from one atom or molecule to another.
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The complete question is:
"A conductor is distinguished from an insulator with the same number of atoms by the number of:
A. nearly free atoms
B. electrons
C. nearly free electrons
D. protons
E. molecules"
The stock solution of hcl is 12 molar hcl. how many milliliters (ml) of 12 m hcl would you add to produce 0.15 liters (l) of hcl? ml hcl
The volume of the stock solution is 6.25 mL.
Stock solutions are manufactured by the technician or pharmacist and have a known concentration for ease of dispensing.
A closed surface-enclosed three-dimensional space's volume is measured physically.
12 molar of HCl is required to make 500 ml of 0.15 liters.
The number of moles n of HCl can be calculated as:
c = n / V
n = c × V
n = 0.15 M × 500 ml
n = 0.15 M × 500 × 10⁻³
n = 0.075 moles HCl
Now, the volume of the stock can be calculated using the number of moles of hydrochloric acid.
c = n / V
V = n / c
V(stock) = 0.075 moles / 12 M
V(stock) = 0.075 moles / (12 moles/ L )
V(stock) = 0.00625 L
V(stock) = 0.00625 × 10³ mL
V(stock) = 6.25 mL
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NEED HELP ASAP FOR TEST!!
6,156,099,000,000 written in scientific notation
Answer:
6.156099 × 10^12
In what ways might the one(s) that does (do) not have a metabolic energy source (caffeine) provide the perception of increased energy after consumption?
A can of Red Bull provides the perception of increased energy because it contains a very high level of sugar and caffeine.
What is caffeine?A methylxanthine class stimulant, caffeine stimulates the central nervous system (CNS). It is employed as a cognitive enhancer to improve alertness and attentional function. In order to increase the release of the neurotransmitter acetylcholine, caffeine works by preventing adenosine from attaching to the adenosine A1 receptor. Through nonselective inhibition of phosphodiesterase, caffeine also raises levels of cyclic AMP.
Chemically related to the adenine and guanine bases of ribonucleic acid and deoxyribonucleic acid (DNA), caffeine is a bitter, white crystalline purine known as a methylxanthine alkaloid (RNA). Many plants native to Africa, East Asia, and South America include it in their seeds, fruits, nuts, or leaves. By limiting the germination of neighboring seeds, it aids in protecting these plants from herbivores and competition.
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The density of aluminum is 2.71 g/cm³. What is the mass of a 9.8 cm3 piece of aluminum?
Round to the correct number of significant figures and include units.
Solve for b.
a+b+2c=3
Answer: b=3-2c-a
Explanation:
a+b+2c=3
a-a+b+2c=3-a
b+2c=3-a
b+2c-2c=3-2c-a
b=3-2c-a