Q.

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

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a

v2

b

v2

c

2v

d

v

answer is D.

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Detailed Solution

v=3RTM = constant, as temperature remains same.
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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