Question

If the pressure of a gas increases upto nine times keeping the temperature constant, then its RMS velocity will become:

• A. 9 times
• B. 3 times
• C. Remains same
• D. $\frac{1}{3}$ times

Answer 1

Answer: (C)

Remains same

As the temperature is constant, the RMS velocity remains the same. As we can see, root mean square speed is independent of pressure and is dependent only on temperature.

Thus root mean square speed will remain the same if the pressure of a gas increases upto 9 times keeping the temperature constant.

Hence, option C is correct.