Two 112-L tanks are filled with gas at 330 K. One contains 5.00 mol of Kr, and the other contains 5.00 mol of O 2 . Considering the assumptions of kinetic–molecular theory, rank the gases from low to high for each of the following properties. (b) Density (g/L)

Hi everyone. This problem reads. You have 25 liter sealed containers at 400 kelvin, one contains three moles of argon, while the other contains three moles of hydrochloric acid, which gas will have the higher density. So we want to know about density in relation to gasses and the equation that we're going to need is density is equal to pressure times molar mass over gas constant R times temperature. Okay, so in this case density will only depend on molar mass because for both gasses, they have the same volume temperature, moles and pressure. Okay, so because density we will only depend on molar mass. We need to write down the molar mass for each of our gasses. So our molar mass for argon is going to equal 39.948 g per mole. And we find this using the periodic table. And the molar mass for hydro biotic acid is equal to 127. g per mole. Okay, so density and molar mass have a direct relationship. Okay, so what that means is the higher the density. The higher the moller mass. Okay, and so looking at the two gasses, we see that our hydro biotic acid has the higher moller mass. So that means it's going to have the higher density. Okay, so in terms of our option choices, given, where asked which guests will have the higher density, the answer choice is going to be beat hydro biotic acid will have the higher density. That's it for this problem. I hope this was helpful

Ch.10 - Gases: Their Properties & Behavior

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McMurry 8th Edition

Ch.10 - Gases: Their Properties & Behavior

Problem 108b

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Chapter 10, Problem 108b

Two 112-L tanks are filled with gas at 330 K. One contains 5.00 mol of Kr, and the other contains 5.00 mol of O₂. Considering the assumptions of kinetic–molecular theory, rank the gases from low to high for each of the following properties. (b) Density (g/L)

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Identify the molar masses of the gases involved. Krypton (Kr) has a molar mass of approximately 83.8 g/mol, and Oxygen (O2) has a molar mass of approximately 32.0 g/mol.

Calculate the total mass of each gas in the tanks using the formula: Total mass = Molar mass x Number of moles. For Kr, multiply 83.8 g/mol by 5.00 mol. For O2, multiply 32.0 g/mol by 5.00 mol.

Use the volume of the tanks to calculate the density of each gas. Density = Total mass / Volume. Since each tank has a volume of 112 L, divide the total mass of each gas by 112 L.

Compare the calculated densities of Kr and O2. The gas with the higher total mass per volume will have a higher density.

Rank the gases from low to high density based on the calculated values.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Kinetic-Molecular Theory

Kinetic-molecular theory explains the behavior of gases in terms of particles in constant motion. It posits that gas particles are far apart, move freely, and collide elastically. This theory helps in understanding properties like pressure, temperature, and volume, which are crucial for analyzing gas behavior in different conditions.

Density of Gases

Density is defined as mass per unit volume. For gases, density can be influenced by temperature and pressure. The ideal gas law (PV=nRT) can be rearranged to find density, showing that at constant temperature and pressure, the density of a gas is directly proportional to its molar mass. Thus, comparing densities of different gases requires knowledge of their molar masses.

Molar Mass

Molar mass is the mass of one mole of a substance, typically expressed in grams per mole (g/mol). It is a critical factor in determining the density of gases, as heavier gases will generally have higher densities at the same temperature and pressure. For the gases in the question, comparing the molar masses of Kr and O2 will help rank their densities.

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Molar Mass Concept

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Rank the following gases in order of their speed of diffusion through a membrane, and calculate the ratio of their diffusion rates: HCl, F2, Ar.

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Textbook Question

Which will diffuse through a membrane more rapidly, CO or N2? Assume that the samples contain only the most abundant isotopes of each element, 12C, 16O, and 14N.

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Textbook Question

Two 112-L tanks are filled with gas at 330 K. One contains 5.00 mol of Kr, and the other contains 5.00 mol of O₂. Considering the assumptions of kinetic–molecular theory, rank the gases from low to high for each of the following properties. (a) Collision frequency

The reaction NO1g2 + NO21g2 ∆ N2O31g2 takes place in the atmosphere with Kc = 13 at 298 K. A gas mixture is prepared with 2.0 mol NO and 3.0 mol NO2 and an initial total pressure of 1.65 atm. (b) What is the volume of the container?

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Open Question

(a) The attractive forces between particles most affect the overall volume of the gas sample at _____ (high or low) pressure. (b) The attractive forces between particles cause the true volume of the gas sample to be ______ (larger or smaller) than the volume calculated by the ideal gas law.