The r.m.s. velocity of a certain gas is v at | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) The formula for $r.m.s.$ velocity is $V_{rms} = \sqrt{\frac{3RT}{M}}$.Since $R$ and $M$ are constant,$V_{rms} \propto \sqrt{T}$.Given $V_1 = v$ at

Vedclass · Accepted Answer

$1200$

Vedclass · Answer

(A) The formula for $r.m.s.$ velocity is $V_{rms} = \sqrt{\frac{3RT}{M}}$.Since $R$ and $M$ are constant,$V_{rms} \propto \sqrt{T}$.Given $V_1 = v$ at $T_1 = 300 \ K$ and $V_2 = 2v$ at $T_2 = ?$.Using the ratio: $\frac{V_1}{V_2} = \sqrt{\frac{T_1}{T_2}}$.Substituting the values: $\frac{v}{2v} = \sqrt{\frac{300}{T_2}}$.Squaring both sides: $(\frac{1}{2})^2 = \frac{300}{T_2} \implies \frac{1}{4} = \frac{300}{T_2}$.Therefore,$T_2 = 300 	imes 4 = 1200 \ K$.

The $r.m.s.$ velocity of a certain gas is $v$ at $300 \ K$. The temperature,at which the $r.m.s.$ velocity becomes double,is ............... $K$.

Similar Questions

The ratio of most probable velocity to that of average velocity is

Select the correct order of molecular speeds for a gas.

The ratio of average velocity to most probable velocity is

The temperature of $O_2$ gas at which its $r.m.s.$ speed is equal to the most probable speed of $H_2$ gas at $300 \ K$ is ............... $K$.

At $STP$,write the order of root mean square speed $(u_{rms})$ for the molecules $H_2, N_2, O_2$,and $HBr$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module