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AIIMS 2011
Exam
AIIMS
Year
2011
Subject
Physics
Chapter
Kinetic Theory of Gases

AIIMS 2011 · Physics · Kinetic Theory of Gases

Assertion: C_P is always greater than C_V in gases. Reason : Work...

Assertion: CPC_P is always greater than CVC_V in gases. Reason : Work done at constant pressure is more than at constant volume.

Options

  1. AIf both assertion and reason are true and reason is the correct explanation of assertion.
  2. BIf both assertion and reason are true but reason is not the correct explanation of assertion.
  3. CIf assertion is true but reason is false.
  4. DIf both assertion and reason are false.

Correct answer

A. If both assertion and reason are true and reason is the correct explanation of assertion.

Step-by-step solution

When we heat the gas at constant volume, the heat is supplied to raise the temperature of gas only. When we heat the gas at constant pressure, the volume of the gas apart from temperature of the gas rises. When the gas expands, it does some external work for increasing the volume. So in this case, the heat is supplied. (a) to raise the temperature of the gas. (b) to do the mechanical work for expansion. As a result more amount of heat is required to increase the temperature of the gas through the same amount when the pressure is kept constant. Hence CPC_P is always greater than the value of CVC_V.
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