First slide

Kinetic theory of ideal gases

Question

The rms speed of helium at 27 ^oC and 1 atm pressure is $900 m s^{- 1}$ . Then the rms speed of the helium molecules at 27 ^oC and 2 atm pressure is

Easy

A

$450 m s^{- 1}$
B

$1800 m s^{- 1}$
C

$900 m s^{- 1}$
D

$750 m s^{- 1}$

Solution

$v_{R M S} = \sqrt{\frac{3 R T}{M}}$ . At constant temperature, velocity is independent of pressure.

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