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  • A monoatomic ideal gas is expanded adiabatically to times of its initial volume, The ratio of final r

A monoatomic ideal gas is expanded adiabatically to \mathrm{n} times of its initial volume, The ratio of final rate of collision of molecules with unit area of container walls to the initial rate will be

Option: 1

\mathrm{n^{-4 / 3}}


Option: 2

\mathrm{n^{4 / 3}}


Option: 3

\mathrm{n^{2 / 3}}


Option: 4

\mathrm{n^{-2 / 3}}


Answers (1)

best_answer

Pressure is exerted by gas on container wall due to change in momentum during collision of gas molecules with container walls.

i.e. \mathrm{P}=\mathrm{N} 2 \mathrm{mv}\, \text{and also}\, \mathrm{v} \propto \sqrt{\mathrm{T}}

\mathrm{Hence \, P \propto N \sqrt{T}\, i.e. \, \frac{N_{2}}{N_{1}}=\frac{P_{2}}{P_{1}} \sqrt{\frac{T_{1}}{T_{2}}}=n^{-4 / 3}}

Posted by

vinayak

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