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The root mean square speed of an ideal gas at constant pressure varies with density d as

$(a)\;d^2\qquad(b)\;d\qquad(c)\;\sqrt d\qquad(d)\;\large\frac{1}{\sqrt d}$

1 Answer

$U_{rms} = \sqrt{\large\frac{3PV}{M}}$
$\;\;\;\;\;\;\;\;\;\;\; = \sqrt{\large\frac{3P}{d}}$
Hence the constant pressure varies with density d as $\large\frac{1}{\sqrt d}$
Hence answer is (d)
answered Feb 13, 2014 by sharmaaparna1
 

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