Which of the following statements is true?

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Question

(A) The kinetic energy $(K.E.)$ of an ideal gas is given by $K.E. = \frac{3}{2} k_B T$. If $T = 0 \, K$,the kinetic energy becomes zero,but the potent

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Absolute zero degree temperature is not zero energy temperature.

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(A) The kinetic energy $(K.E.)$ of an ideal gas is given by $K.E. = \frac{3}{2} k_B T$. If $T = 0 \, K$,the kinetic energy becomes zero,but the potential energy of the molecules may not be zero. Thus,absolute zero temperature is not zero energy temperature. Hence,option $A$ is correct.$(B)$ The root mean square $(RMS)$ velocity is given by $v_{rms} = \sqrt{\frac{3RT}{M}}$. Since it depends on the molar mass $(M)$,two different gases at the same temperature will have different $RMS$ velocities. Thus,option $B$ is incorrect.$(C)$ Similar to option $B$,the $RMS$ speed depends on the molar mass. Therefore,molecules of different ideal gases at the same temperature will have different $RMS$ speeds. Thus,option $C$ is incorrect.$(D)$ According to Avogadro's law,at the same temperature and pressure,equal volumes of all gases contain an equal number of molecules. Since both samples have $1 \, cc$ volume at $NTP$,they contain the same number of molecules. Thus,option $D$ is incorrect.

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