Question 782: Thermodynamics & KTG

Question

A pergect gas of volume 5 litre is compressed isothermally to volume of 1 litre. The r.m.s. speed of the molecules will

Accepted Answer

When a perfect gas of volume 5 liters is compressed isothermally to a volume of 1 liter, the root mean square (r.m.s.) speed of the gas molecules does not change.
This is because the compression is isothermal, meaning the temperature remains constant throughout the process. The r.m.s. speed of gas molecules is determined by the formula:
$ v_{	ext{rms}} = \sqrt{\frac{3RT}{M}} $
Where:
$ R $ is the universal gas constant,
$ T $ is the absolute temperature, and
$ M $ is the molar mass of the gas.
Since the temperature $ T $ is unchanged during an isothermal process, the r.m.s. speed $ v_{	ext{rms}} $ remains the same. Thus, there is no impact on the r.m.s. speed due to the reduction in volume given that the temperature is constant.

Answer

increase by 10 times

Answer

decrease by 10 times

Answer

increase by 5 times

Answer

remain unchanged

Thermodynamics & KTG

A pergect gas of volume 5 litre is compressed isothermally to volume of 1 litre. The r.m.s. speed of the molecules will

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