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  • The root mean square velocity of an idea gas at constant pressure varies with density (d) as -  Option: 1 <img alt="\mathrm{d^2}" src="/l

The root mean square velocity of an idea gas at constant pressure varies with density (d) as -
 

Option: 1

\mathrm{d^2}


Option: 2

\mathrm{d}


Option: 3

\mathrm{\sqrt{d}}


Option: 4

\mathrm{1 / \sqrt{d}}


Answers (1)

best_answer

Root mean square velocity \mathrm{U_{(nms)} =\sqrt{\frac{3 K T}{M}}}
Also,
\mathrm{ P \cdot M=d R T \text {. } }


substituting for RT / M in \mathrm{ U_{\text {nms }} } expression gives,
\mathrm{ U_{\text {nms }}=\sqrt{\frac{3 p}{d}} \Rightarrow U_{n m s} \propto \frac{1}{\sqrt{d}} }

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Gaurav

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