An insulated box containing a monoatomic...

An insulated box containing a monoatomic gas of molar mass (M) moving with a speed `v_0` is suddenly stopped. Find the increment is gas temperature as a result of stopping the box.

Text Solution

Verified by Experts

The correct Answer is:

Decrease in kinetic energy = increase in internal energy of the gas
`:. 1/2 m v_0^2 = (n f)/2 R Delta T = (m/M)(3/2 R)Delta T`
`:. Delta T = (M v_0^2)/(3 R)`.

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An insulated container containing n moles of monoatomic gas of molar mass m is moving with a velocity v_0 . If the container is suddenly stopped, find the change in temperature.

`(mnv_0^2)/(3R)`

`(mv_0^2)/(3nR)`

`(mnv_0^2)/R`

`(mv_0^2)/(2R)`

A cubical box containing a gas is moving with some velocity. If it is suddenly stopped, then the internal energy of the gas

decreaes

increases

remains constant

may increases or decreases depending on the time interval during which box comes to rest.

A thermally insulated vessel containing diatomic gas of molar mass M is moving with velocity v. the temperature of gas is T. if it is suddenly stopped, then

Internal energy of gas is equal to `(5nRT)/(2)` when vessel is moving

There is no change in temperature if vessel is suddenly stopped

There is rise in temperature if vessel is suddenly stopped

Temperature increase is due to heat input