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Question: A cubic vessel (with faces horizontal + vertical) contains an ideal gas at NTP. The vessel is being ...

A cubic vessel (with faces horizontal + vertical) contains an ideal gas at NTP. The vessel is being carried by a rocket which is moving at a speed of 500 m/s in vertical direction. The pressure of the gas inside the vessel as observed by us on the ground

A

Remains the same because 500 m/s is very much smaller than nrms of the gas

B

Remains the same because motion of the vessel as a whole does not affect the relative motion of the gas molecules and the walls

C

Will increase by a factor equal to [v2rms + (500)2]/v2rms, where vrms was the original mean square velocity of the gas

D

Will be different on the top wall and bottom wall of the vessel

Answer

Will be different on the top wall and bottom wall of the vessel

Explanation

Solution

As P=nRTV,P = \frac{nRT}{V}, it (i.e., P) remains unaffected as n,R. T and V.