First slide

Kinetic theory of ideal gases

Question

A closed vessel of fixed volume contains a mass m of an ideal gas. The RMS speed is v. Additional mass m of the same gas is pumped into the vessel and the pressure rises to 2p, temperature remaining the same as before. RMS speed now is

Moderate

A

$\frac{v}{\sqrt{2}}$
B

$v \sqrt{2}$
C

2v
D

v

Solution

$v = \sqrt{\frac{3 R T}{M}}$ = constant, as temperature remains same.

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