A horizontal insulated cylinder of volume V is divided into four...

A horizontal insulated cylinder of volume

V

is divided into four identical compartments by stationary semi-permeable thin partitions as shown. The four compartments from left are initially filled with 28 g helium, 160 g oxygen, 28 g nitrogen and 20 g hydrogen respectively. The left partition lets through hydrogen, nitrogen and helium while the right partition lets through hydrogen only. The middle partition lets through hydrogen and nitrogen both. The temperature

T

inside the entire cylinder is maintained constant. After the system is set in equilibrium,

O_2

N_2

H_2

Options

Apressure of helium is $\frac{14 R T}{V}$ .
Bpressure of oxygen is $\frac{20 R T}{V}$ .
Cpressure of nitrogen is $\frac{4 R T}{3 V}$ .
Dpressure of hydrogen is $\frac{10 R T}{V}$ .

Correct answer

D. pressure of hydrogen is $\frac{10 R T}{V}$ .

Step-by-step solution

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