Two gases, He and Xe, are at the same temperature. Sketch their M–B curves on the same axes. Which has a higher ( v_p )? Explain.

At higher temperature, does the fraction of molecules with very low speeds increase or decrease? Explain.

[ f(v) = 4\pi \left( \fracm2\pi k_B T \right)^3/2 v^2 e^-mv^2/(2k_B T) ]

At higher temperature, does the fraction of molecules with very high speeds increase or decrease? Why is this important for chemical reaction rates?

On the same M–B curve, mark approximate positions of ( v_p ), ( \langle v \rangle ), and ( v_rms ). Which is farthest to the right? Application Questions 13. A gas is heated from 300 K to 600 K. Does the peak of the M–B curve move left or right? By what factor does ( v_p ) change?

Why does ( v_rms ) matter in Graham’s law of effusion?