Which of the following processes would lead to an increase in the average speed of the molecules of an ideal gas system?

Decreasing the temperature of the system

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Compressing the gas with a piston

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Expanding the gas into a vacuum

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Heating the system keeping

V

and

P

constant.

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Solution

The correct options are
A Compressing the gas with a piston
D Heating the system keeping $V$ and $P$ constant.
$A v e r a g e s p e e d μ_{a v} = \sqrt{\frac{8 R T}{π M}}$
$∴ μ_{a v} \propto \frac{T}{M}$ .
Average speed $μ_{a v} \propto T$ .
Pressure and temperature is directly proportional to average speed.
Hence options B & D are correct..

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Which of the following processes would lead to an increase in the average speed of the molecules of an ideal gas system?

The correct options are A Compressing the gas with a piston D Heating the system keeping V and P constant.Averagespeedμav=√8RTπM∴μav∝TM.Average speed μav∝T. Pressure and temperature is directly proportional to average speed.Hence options B & D are correct..