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Question: The root mean square velocity of an ideal gas at constant pressure varies density (4) as....

The root mean square velocity of an ideal gas at constant pressure varies density (4) as.

A

d2d ^ { 2 }

B

d

C

d\sqrt { d }

D

1/d1 / \sqrt { d }

Answer

1/d1 / \sqrt { d }

Explanation

Solution

U=3RTM=3PVM=3Pd∴U∝1dU = \sqrt { \frac { 3 R T } { M } } = \sqrt { \frac { 3 P V } { M } } = \sqrt { \frac { 3 P } { d } } \therefore U \propto \frac { 1 } { \sqrt { d } }