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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주요 개념

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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.

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)