Question

A balloon filled with methane $C{H}_4$ is pricked with a sharp point and quickly plunged into a tank of hydrogen at the same pressure. After sometime the balloon will have?

• A. Enlarged
• B. Collapsed
• C. Remained unchanged in size
• D. Ethylene $\left(C_2{H}_4\right)$ inside it

Answer 1

The correct option is A Enlarged

Given: initially balloon has methane.

Balloon having methane is led to diffuse methane by pricking.

Again the same balloon suddenly plunged to a tank to effuse hydrogen to it.

According to graham's law of effusion/diffusion.

$\frac{r_1}{r_2}=\sqrt{\frac{M_1}{M_2}}$

$\frac{r_{{CH}_4}}{r_{H_2}}=\sqrt{\frac{2}{16}}$

We know, $M=$ Molecular weight

$r=$ Rate of effusion/diffusion

$\frac{r_{{CH}_4}}{r_{H_2}}=\frac{1}{2\sqrt{2}}$

$r_{H_2}=2\sqrt{2}\times r_{{CH}_4}$

Rate of hydrogen effusion is $2\sqrt{2}$ times the rate of methane diffusion.

Therefore, balloon enlarges as hydrogen moves in faster.