Question

When temperature of an ideal gas is increased from ${127}^{o}c$ to ${627}^{o}c$ the percentage increase its root mean square velocity is

• A. $67.5\%$
• B. $150\%$
• C. $25\%$
• D. $50\%$

Answer 1

The correct option is A $67.5\%$

root mean square velocity of the gas molecules is = $\sqrt{\frac{3RT}{M}}$
so when the tempreature is increased to $3$ times then the
root mean square velocity increases to $\sqrt{3}$ times.