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JEE Main 202126 FebruaryMorning Shift
Exam
JEE Main
Year
2021
Date
26 February
Shift
Morning Shift
Subject
Physics
Chapter
Thermal Properties of Matter

JEE Main 2021 · 26 February · Morning Shift · Physics · Thermal Properties of Matter

A container is divided into two chambers by a partition. The volume...

A container is divided into two chambers by a partition. The volume of first chamber is 4.5litre4 . 5litre and second chamber is 5.5litre5 . 5litre. The first chamber contain 3.03 . 0 moles of gas at pressure 2.0atm2 . 0atm and second chamber contain 4.04 . 0 moles of gas at pressure 3.0atm3 . 0atm. After the partition is removed and the mixture attains equilibrium, then, the common equilibrium pressure existing in the mixture is x×10−1atmx \times {10}^{- 1}atm. Value of xx (nearest integer) is

Correct answer

0

Step-by-step solution

Let common equilibrium pressure of mixture is PP atmp. then

f2P1V1+f2P2V2=f2P(V1+V2)\dfrac{f}{2}{P}_{1}{V}_{1} + \dfrac{f}{2}{P}_{2}{V}_{2} = \dfrac{f}{2}P\left({V}_{1} + {V}_{2}\right)

f2(2)(4.5)+f2(3)(5.5)=f2P(4.5+5.5)\dfrac{f}{2}\left(2\right)\left(4 . 5\right) + \dfrac{f}{2}\left(3\right)\left(5 . 5\right) = \dfrac{f}{2}P\left(4 . 5 + 5 . 5\right)

⇒P=2.55=x×10−1⇒ P = 2 . 55 = x \times {10}^{- 1} atmp

So x=25.5≈26x = 25 . 5 \approx 26 (Nearest integer)

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