Which of the following is a way to decrease t | vedclass

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Question

(D) The average speed of gas molecules is directly proportional to the square root of the absolute temperature,given by the formula $\overline{v} = \s

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Expanding the gas adiabatically against constant pressure.

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(D) The average speed of gas molecules is directly proportional to the square root of the absolute temperature,given by the formula $\overline{v} = \sqrt{\frac{8RT}{\pi M}}$.Since $\overline{v} \propto \sqrt{T}$,decreasing the temperature will decrease the average speed.In an adiabatic expansion against constant pressure,the gas does work at the expense of its internal energy,which leads to a decrease in temperature.Therefore,expanding the gas adiabatically against constant pressure is the correct method.

List-$I$	List-$II$
$(a)$ $U_{rms} / U_{av}$	$(i)$ $1.22$
$(b)$ $U_{av} / U_{mp}$	$(ii)$ $1.13$
$(c)$ $U_{rms} / U_{mp}$	$(iii)$ $1.08$

Which of the following is a way to decrease the average speed of molecules of an ideal gas?

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Match the following (where $U_{rms}$ = root mean square speed,$U_{av}$ = average speed,$U_{mp}$ = most probable speed)
List-$I$ List-$II$
$(a)$ $U_{rms} / U_{av}$ $(i)$ $1.22$
$(b)$ $U_{av} / U_{mp}$ $(ii)$ $1.13$
$(c)$ $U_{rms} / U_{mp}$ $(iii)$ $1.08$

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