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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.

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The correct Answer is:
A

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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DC PANDEY-THERMOMETRY,THERMAL EXPANSION & KINETIC THEORY OF GASES-Example Type 2
  1. An insulated box containing a monoatomic gas of molar mass (M) moving ...

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