1. Answer the following questions about the distribution of molecular velocities in a gas. a. Calculate vms, the root mean square velocity, of O2(g), N2(g),He, and H2(g) at 298 K. Use the values of vms to sketch (quantitatively) the distribution of velocities for each gas below. Note that the area under a curve represents the total'number of molecules and should remain the same for each distribution. So as your distributions get wider, they should also get shorter.

Chemistry: An Atoms First Approach
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Chapter8: Gases
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1. Answer the following questions about the distribution of molecular velocities in a gas.
a. Calculate vms, the root mean square velocity, of O2(g), N(g), He, and H:(g) at 298 K. Use the values of vms to sketch
(quantitatively) the distribution of velocities for each gas below. Note that the area under a curve represents the total'number of
molecules and should remain the same for each distribution. So as your distributions get wider, they should also get shorter.
500
1000
1500
2000
2500
3000
3500
Molecular Speed, m/s
b. Now use kinetic energy on the x-axis instead of speed. Sketch the distributions of kinetic energies of ANY gas (since all gases
have the same average KE at the same temperature) for 300K, 600 K, and 900 K that show approximately how they compare in terms
of kinetic energies.
Relative Kinetic Energy (unitless)
Fraction of molecules with a
Fraction of molecules with a
given kinetic energy
given molecular speed
Transcribed Image Text:1. Answer the following questions about the distribution of molecular velocities in a gas. a. Calculate vms, the root mean square velocity, of O2(g), N(g), He, and H:(g) at 298 K. Use the values of vms to sketch (quantitatively) the distribution of velocities for each gas below. Note that the area under a curve represents the total'number of molecules and should remain the same for each distribution. So as your distributions get wider, they should also get shorter. 500 1000 1500 2000 2500 3000 3500 Molecular Speed, m/s b. Now use kinetic energy on the x-axis instead of speed. Sketch the distributions of kinetic energies of ANY gas (since all gases have the same average KE at the same temperature) for 300K, 600 K, and 900 K that show approximately how they compare in terms of kinetic energies. Relative Kinetic Energy (unitless) Fraction of molecules with a Fraction of molecules with a given kinetic energy given molecular speed
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