Which of the following statement is true?

Question

Which of the following statement is true?, Absolute zero degree temperature is not zero energy temperature., Two different gases at the same temperature pressure have equal root mean square velocities., The rms speed of the molecules of different ideal gases, maintained at the same temperature are the same., Given sample of $ 1 $ cc of hydrogen and $ 1 $ cc of oxygen both at NTP, oxygen sample has a large number of molecules.

MARKS App · Accepted Answer

From the law of equipartition of energy law, the total kinetic energy of the gas is K E = f 2 n R T , which is proportional to the temperature. At absolute zero temperature, kinetic energy of the gas molecules becomes zero, but they may possess some potential energy, so we cannot say that absolute zero degree temperature is zero energy temperature. The RMS speed of a gas is given by v R M S = 3 R T M . For different gases or at different temperature, it will be different. But it does not depend on the pressure. From the ideal gas equation, P V = n R T , two different gases at same temperature, pressure and volume will have the same number of moles and same number of molecules.

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