Question

if pressure of a gas increases upto 9 times keeping temperature constant then its RMS velocity will become

Answer 1

RMS velocity is independent of pressure.

RMS velocity =√3RT÷M

RMS velocity only depends on temperature and molar mass .

As the temperature here is constant RMS velocity remains the same.

Answer 2

Answer: It will remain same

Explanation:

The formula used for root mean square speed is:

$\nu_{rms}=\sqrt{\frac{3RT}{M}}$

where,

$\nu_{rms}$ = root mean square speed

R = gas constant = 8.314 J/Kmol

M = atomic mass

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 same if pressure of a gas increases upto 9 times keeping temperature constant.