Two identical rooms. A and B, are sea e except for an open doorway between them.

Question

Two identical rooms. A and B, are sea e except for an open doorway between them. Room A is cooler than Room B. Which room has the greater number of air molecules? Room A Room B Neither, they should both have the same number of molecules. The Maxwell-Boltzmann Speed Distribution D(v) = 4/pi^1/2(v/v_P) e^-(v/v_P)^2 where v_P equiv squareroot 2 k_B T/m has metric units of m/s s/m m s Which of the speeds v listed below is the lowest speed where the probability of a gas molecule having that speed is less than 1% the value of the most probable speed vP? v ~ 0.2vP v ~ 2 vP v ~ 3vP v ~ 5vP

Explanation / Answer

By ideal as equation,

PV = nRT

here P and V are same in both rooms, So nRT for both room has to be same.

Room A has lower T, so n in A should be higher in order to make nRT equal in both.

option A is correct: Room A

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