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Physically, Why Is a Gas Molecule's Speed vv More Likely to Be Near

Question 34

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Physically, why is a gas molecule's speed vv more likely to be near vpv_{p} than near zero?


A) There are fewer quantum states with smaller speeds than larger speeds.
B) The Boltzmann factor has a larger value near v=vp\mathrm{v}=\mathrm{v}_{\mathrm{p}} than near v=0v=0 .
C) We know that 12m[v2]avg =32kBT\frac{1}{2} m\left[v^{2}\right]_{\text {avg }}=\frac{3}{2} k_{B} T , and vpv_{p} is closer to [vavg 2]1/2\left[v_{\text {avg }}^{2}\right]^{1 / 2} than zero is.

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