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JEE Main 202116 MarchMorning Shift

Exam: JEE Main
Year: 2021
Date: 16 March
Shift: Morning Shift
Subject: Physics
Chapter: Kinetic Theory of Gases

JEE Main 2021 · 16 March · Morning Shift · Physics · Kinetic Theory of Gases

The volume V of an enclosure contains a mixture of three gases, 16g...

The volume

V

of an enclosure contains a mixture of three gases,

16g

of oxygen,

28g

of nitrogen and

44g

of carbon dioxide at absolute temperature

T

. Consider

R

as universal gas constant. The pressure of the mixture of gases is :

Options

A $\dfrac{88RT}{V}$
B $\dfrac{3RT}{V}$
C $\dfrac{5}{2}\dfrac{RT}{V}$
D $\dfrac{4RT}{V}$

Correct answer

C. $\dfrac{5}{2}\dfrac{RT}{V}$

Step-by-step solution

$PV = \left({n}_{1} + {n}_{2} + {n}_{3}\right)RT$

$P \times V = \left[\dfrac{16}{32} + \dfrac{28}{28} + \dfrac{44}{44}\right]RT$

$PV = \left[\dfrac{1}{2} + 1 + 1\right]RT$

$P = \dfrac{5}{2}\dfrac{RT}{V}$

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