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JEE Main 202127 JulyMorning Shift
Exam
JEE Main
Year
2021
Date
27 July
Shift
Morning Shift
Subject
Physics
Chapter
Kinetic Theory of Gases

JEE Main 2021 · 27 July · Morning Shift · Physics · Kinetic Theory of Gases

The number of molecules in one litre of an ideal gas at 300K and 2...

The number of molecules in one litre of an ideal gas at 300K300K and 22 atmospheric pressure with mean kinetic energy 2×10−9J2 \times {10}^{- 9}J per molecule is:

Options

  1. A0.75×10110 . 75 \times {10}^{11}
  2. B3×10113 \times {10}^{11}
  3. C1.5×10111 . 5 \times {10}^{11}
  4. D6×10116 \times {10}^{11}

Correct answer

C. 1.5×10111 . 5 \times {10}^{11}

Step-by-step solution

KE=32kTKE = \dfrac{3}{2}kT
PV=NNARTPV = \dfrac{N}{{N}_{A}}RT
N=PVkTN = \dfrac{PV}{kT}
=N=1.5×1011= N = 1 . 5 \times {10}^{11}
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