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  • If RMS velocity of molecules of a diatomic gas is increased to 1.5 times. If the process is done adiabatically. Then the ratio of initial volume to final volume will be<

If RMS velocity of molecules of a diatomic gas is increased to 1.5 times. If the process is done adiabatically. Then the ratio of initial volume to final volume will be

Option: 1

(1.5)^{5}


Option: 2

(1.5)^{4}


Option: 3

(1.5)^{3}


Option: 4

(1.5)^{2.5}


Answers (1)

best_answer

\mathrm{Vrms \propto \sqrt{\mathrm{T}}\, hence\, \frac{\mathrm{T}_{2}}{\mathrm{~T}_{1}}=2.25}.
\mathrm{\mathrm{TV}^{\gamma-1}= constant}
\mathrm{\left(\frac{V_{1}}{V_{2}}\right)^{\gamma-1}=\frac{T_{2}}{T_{1}} \Rightarrow \quad \frac{V_{1}}{V_{2}}=(1.5)^{5}}

Posted by

sudhir kumar

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