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JEE Main 202126 AugustEvening Shift
Exam
JEE Main
Year
2021
Date
26 August
Shift
Evening Shift
Subject
Physics
Chapter
Kinetic Theory of Gases

JEE Main 2021 · 26 August · Evening Shift · Physics · Kinetic Theory of Gases

A cylindrical container of volume 4 . 0 × 10 ^ - 3 m ^ 3 contains...

A cylindrical container of volume 4.0×10−3m34 . 0 \times {10}^{- 3}{m}^{3} contains one mole of hydrogen and two moles of carbon dioxide. Assume the temperature of the mixture is 400K400K. The pressure of the mixture of gases is :
[Take gas constant as \left8 . 3J{mol}^{- 1}{K}^{- 1}\right]

Options

  1. A24.9×103Pa24 . 9 \times {10}^{3}Pa
  2. B249×101Pa249 \times {10}^{1}Pa
  3. C24.9×105Pa24 . 9 \times {10}^{5}Pa
  4. D24.9Pa24 . 9Pa

Correct answer

C. 24.9×105Pa24 . 9 \times {10}^{5}Pa

Step-by-step solution

For gas A

PAV=nART{P}_{A}V = {n}_{A}RT

PA=(1)RTV{P}_{A} = \dfrac{( 1 ) RT}{V}

for gas BB

PBV=nBRT{P}_{B}V = {n}_{B}RT

PB=(2)RTV{P}_{B} = \dfrac{( 2 ) RT}{V}

Now according to the Dalton's law of mixture,

P=PA+PBP = {P}_{A} + {P}_{B}

=3RTV=3×8.314(400)4×10−3=24.9×105Pa= \dfrac{3RT}{V} = \dfrac{3 \times 8 . 314 ( 400 )}{4 \times {10}^{- 3}} = 24 . 9 \times {10}^{5}Pa

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