Thermal Properties of Matter · NEET Preparation Physics

A coefficient of volume expansion of an ideal gas at constant pressure is equal to:

Practice question from Thermal Properties of Matter (NEET Preparation Physics), with the correct answer and a step-by-step solution.

easy · MCQ · Q-72AD57

A coefficient of volume expansion of an ideal gas at constant pressure is equal to:

  1. A.T
  2. B.1 / TCorrect answer
  3. C.P
  4. D.1 / P

Solution

For an ideal gas, PV=nRTPV = nRT. At constant pressure, differentiating with respect to temperature gives PdVdT=nRP \frac{dV}{dT} = nR. The volume expansion coefficient is γ=1VdVdT=nRPV=nRnRT=1T\gamma = \frac{1}{V}\frac{dV}{dT} = \frac{nR}{PV} = \frac{nR}{nRT} = \frac{1}{T}.

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