Question

2 moles of each of hydrogen and oxygen are filled in a balloon, and a small hole is pierced .After one hour 0.4 mole of oxygen diffuses out. What will be the mole fraction of hydrogen in the balloon? Temperature remains constant.

Answer 1

Answer:

0.5555 is the mole fraction of hydrogen in the balloon.

Explanation:

Initially:

Number of moles of hydrogen gas in balloon,$n_1$ = 2 moles

Number of moles of oxygen gas in balloon,$n_2$ = 2 moles

After piercing a hole, 0.4 moles of oxygen gas diffused out

Moles of hydrogen gas = $n_1=2 moles$

Moles of oxygen = $n-2'=n_2-0.4=1.6 mol$

Mole fraction of hydrogen in the balloon :

$\chi_1=\frac{n_1}{n_1+n_2'}=\frac{2 mol}{2 mol+1.6 mol}=0.5555$

0.5555 is the mole fraction of hydrogen in the balloon.