Question

The temperature of an ideal gas is increased from ${27}^{\circ }C$ to ${927}^{\circ }C$. The rms speed of molecules becomes

• A. twice
• B. half
• C. four times
• D. one-fourth

Answer 1

The correct option is A twice

The root mean square velocity of gas molecules $\propto \sqrt{T}$

Thus $\frac{v_2}{v_1}=\sqrt{\frac{T_2}{T_1}}=\sqrt{\frac{927+273}{27+273}}=\sqrt{\frac{1200}{300}}=2$