Question

If the rms speeds of helium and oxygen are equal, then the ratio of the temperatures of helium and oxygen is:

• A. 1:8
• B. 2:1
• C. 1:4
• D. 4:1

Hint:

For gases with equal rms speeds, the temperature is inversely proportional to the molar mass. Use the equation \( \frac{v_{\text{rms}}}{\sqrt{T}} \) to find the temperature ratio.

Answer 1

The Correct Option is A

Using the relation between temperature and rms speed \( \frac{v_{\text{rms}}}{\sqrt{T}} = \text{constant} \), we find that the ratio of temperatures of helium and oxygen is 1:8. Thus, the correct answer is option (1).