Question

If the rms of velocity of a gas is v, then

• A. $v^{2}T=$ constant
• B. $v^2/T=$ constant
• C. $v{T}^2=$ constant
• D. v is independent of T.

Answer 1

Answer: (B)

$v^2/T=$ constant

RMS velocity is given by

$v=\sqrt{\frac{3kT}{m}}$

$v^2=\frac{3kT}{m}$

For a gas, k and m are constants

$\frac{v^2}{T}=$ constant.