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Questions  

The pressure of an ideal gas is directly proportional to [UK PMT 2015]

a
total kinetic energy
b
translational kinetic energy
c
rotational kinetic energy
d
vibrational kinetic energy

detailed solution

Correct option is B

Translational kinetic energy,                           K = 12Mvrms2                                             …(i)and                    vrms=3pVM                                            …(ii)From Eqs. (i) and (ii), we get                    K=12M3pVM=32pV⇒              p=2K3V⇒p∝K                    (If, V = constant)

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