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

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

1. A

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

2. B

$v\sqrt{2}$

3. C

2v

4. D

v

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### Solution:

Vrms depends on only temperature, independent of pressure
Vrms = v

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