Question

The temperature of an ideal gas is increased from $120K$ to $480K$. If at $120K$, the root mean square speed of the gas molecules is v then at $480K$ it will be

• A. 4v
• B. 2v
• C. v/2
• D. v/4

Answer 1

The correct option is B

2v

$v_{rms}=\sqrt{\frac{3RT}{M}}$ or $v_{rms}\propto \sqrt{T}$. Hence the correct choice is (b)