Kinetic Theory Of Gases Question 24

Question: If the molecules in a tank of hydrogen have the same RMS speed as the molecules in another tank of oxygen, we may be sure that

Options:

A) the pressures are the same

B) the hydrogen is at the higher temperature

C) the temperatures are the same

D) the oxygen is at the higher temperature

Show Answer

Answer:

Correct Answer: D

Solution:

[d] $ V _{rms}=\sqrt{\frac{3RT}{M}} $ Same $ V _{rms} $ , implies $ \frac{T}{M} $ same. Hence, $ \text{T}\propto M $ M for oxygen is more than that of hydrogen, therefore, oxygen is at higher temperature than hydrogen.