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A cubic vessel (with face horizontal + v...

A cubic vessel (with face horizontal + vetical ) contains an ideal gas at NTP. 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 as observed by us on the ground.

A

remains the same because `500 ms^(-1)` is very much smaller than `v_("rms")` of the gas

B

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

C

will increase by a factor equal to `(V_("rms")^(2)+ (500)^(2)) // V_("rms")^(2) " where " V_("rms")` was the original mean square velocity of the gas

D

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

Text Solution

Verified by Experts

As the motion of the vessel as a whole does not effect the ralative motion of the gas molecules with respect to the walls of the vessel , hence pressure of the gas inside the vessel as observed by us on the ground remians the same.
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Knowledge Check

  • 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 ms^(-1) in vertical direction. The pressure of the gas inside the vessel as observed by us on the ground

    A
    Remains the same because `500ms^(-1)` is very much smaller than `upsilon_(rms)` 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 `[upsilon)(rms)^(2) + (500)^(2)[//upsilon_(rms)^(2)` where `upsilon_(rms)` was the original nean square velocity of the gas.
    D
    will be different on the top wall and bottom wall of the vessel.

  • Vessel A contains an ideal gas at a pressure 5xx10^(5) Pa and is connected with a heat source which maintains its temperature at 300 K . Another vessel B which has four time greater inner volume contains the same gas at a pressure 10^(5) Pa and is connected to a heat source which maintains its temperature at 400 K . What will be the pressure of entire system if two vessels are connected by a narrow tube tap:-

    A
    `10^(5)Pa `
    B
    `2xx10^(5)Pa`
    C
    `4xx10^(5)Pa`
    D
    `5xx10^(5)Pa`

  • There are two identical vessels containing same quantity of an ideal gas at same pressure vessel A is placed in a train moving with constant speed and the vessel B is placed on the platform in the frame of an observer standing on the platform select the correct statement

    A
    Temperature of gas in both vessel is same where as kinetic energy of gas in the vessel is different
    B
    kinetic energy of gas in both vessels is same but temperature are different
    C
    both kinetic energy and temperature are same.
    D
    both kinetic energy and temperature are different

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