JEE Main · 2020 · 03 Sep 2020 · Shift 2 · States of Matter

A mixture of one mole each of

H_{2}

, He and

O_{2}

each are enclosed in a cylinder of volume V at temperature T . If the partial pressure of

H_{2}

is 2 atm , the total pressure of the gases in the cylinder is:

(A)14 atm
(B)6 atm✓ Correct
(C)22 atm
(D)38 atm

Answer: (B)

Solution

For an ideal gas the partial pressure is

P = n R T / V

. The three gases each hold one mole and share the same volume and temperature, so each exerts the same partial pressure; since hydrogen contributes

2 atm

, helium and oxygen each contribute

2 atm

as well. By Dalton's law the total pressure is the sum,

2 + 2 + 2 = 6 atm

JEE Main · 2020 · 03 Sep 2020 · Shift 2 · Single correct option

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