Question

Two flask $A$ and $B$ of equal volume maintained at temperature of $300K$ and $700K$ contained equal mass of $He\left(g\right)$ and $N_2\left(g\right)$. What is the ratio of transnational $K.E$ of gas in flask $A$ to flask $B$?

• A. $3:1$
• B. $1:3$
• C. $3:49$
• D. $9:1$

Answer 1

Answer: (C)

$3:49$

Option $C$ is correct.

Formula associated with the translational kinetic energy of a gas is

$K=N\frac{3}{2}{K}_{B}T$

Where $K=$ translational kinetic energy

$N=$ No. of mole present in the gas

$K_B$= Boltzmann's constant ($1.38\times 10^{-23}$)

$T=$ Temperature

$\therefore$ The ratio of the gas

$=\left(4\right)\frac{3}{2}(1.38\times 10^{-23})\left(300\right):\left(28\right)\frac{3}{2}(1.38\times 10^{-23})\left(700\right)$

$=3:49$