A cubic vessel (with faces horizontal + vertical) contains an ideal gas at normal…

Physics · NEET · NTA ExamsKINETIC THEORY OF GASES

A cubic vessel (with faces horizontal + vertical) contains an ideal gas at normal temperature and pressure. The vessel is being carried by a rocket which is moving at a speed of 500 ms−1 in vertical direction. The pressure of the gas inside the vessel is observed by us on the ground:
  1. remains the same because 500 ms−1 is very much smaller than vrms of the gas.
  2. remains the same because motion of the vessel as a whole does not affect the relative motion of the gas molecules and the walls.
  3. will increase by a factor equal to\(\left[v_{\mathrm{mus}}^{2}+(500)^{2}\right] / v_{\mathrm{mus}}^{2}\) where \(v_{\text {ms }}\) was the original mean square velocity of the gas.
  4. will be different on the top wall and bottom wall of the vessel.

Answer

(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.

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