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JEE Main202225 Jul 2022Morning ShiftPhysicsKinetic Theory of GasesActual

Following statements are given (1) The average kinetic energy of a gas molecule decreases when the temperature is reduced. (2) The average kinetic energy of a gas molecule increases with increase in pressure at constant temperature. (3) The average kinetic energy of a gas molecule decreases with increases in volume. (4) Pressure of a gas increases with increase in temperature at constant volume. (5) The volume of gas

Options

  1. A(1) and (4) only
  2. B(1), (2) and (4) only
  3. C(2) and (4) only
  4. D(1), (2) and (5) only

Correct answer

A. (1) and (4) only

Step-by-step solution

Average kinetic energy of a gas molecule is given by KE avg   = 3 2 K T . Pressure of a gas in terms of rms speed is given by P = 1 3 ρ v rms 2 . As K E a v g ∝ T , so 1 is correct, 2 is incorrect, statement 3 can not be said. Note : Statement (4) is correct only if we consider it at constant volume and not constant pressure. Ideally, this question must be bonus but most appropriate answer is option (A)

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