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Kinetic Theory · Question 17

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1

The internal energy of air in 4 m 4 m 3 m sized room at 1 atmospheric pressure will be 106 J (Consider air as diatomic molecule)

Answer

12

Solution

Diatomic gas: f = 5 U = f2nRT = 52PV

V = 4 4 3 = 48 m3, P = 1 atm = 1.013 105 Pa

U = 52 1.013 105 48

= 1.216 107 J 12 106 J

Answer: 12

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Keep practising — Kinetic Theory

2

A container of fixed volume contains a gas at 27 . To double the pressure of the gas, the temperature of gas should be raised to .

JEE Main 2025 (Online) 29th January Morning Shift
3

For a particular ideal gas which of the following graphs represents the variation of mean squared velocity of the gas molecules with temperature?

  1. [figure]
  2. [figure]
  3. [figure]
  4. [figure]
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4

The ratio of vapour densities of two gases at the same temperature is 425, then the ratio of r.m.s. velocities will be :

  1. 52
  2. 254
  3. 425
  4. 25
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5

The kinetic energy of translation of the molecules in 50 g of CO2 gas at 17 is :

  1. 4205.5 J
  2. 3582.7 J
  3. 3986.3 J
  4. 4102.8 J
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