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

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

Assertion : The root mean square velocity of an ideal gas at constant pressure varies with density as 1//sqrtd . Reason : Average kinetic energy of a gas is directly proportional to the absolute temperature.

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