Question

if temperature in kelvin is quadrupled then rms speed of gaseous molecule is options are a. 3times b. 4 times c. 2 times d. 8times​

Answer 1

Answer: 2 times

Explanation:

$V_{rms} = \sqrt{\frac{3RT}{M} }$ ⇒$V_{rms}$ ∝$\sqrt{T}$

∴ when the temperature is quadrupled ⇒ $V_{rms}$ ∝ $\sqrt{4T} =2$

∴The rms velocity of the gas molecule increases by 2 times