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MHT CET · Physics · Thermodynamics

A gas undergoes a change in which its pressure 'P' and volume 'V' are related as \(\mathrm{PV}^{\mathrm{n}}=\) constant, where n is a constant. If the specific heat of the gas in this change is zero, then the value of \(n\) is ( \(\gamma=\) adiabatic ratio)

  1. A \(1-\gamma\)
  2. B \(\gamma+1\)
  3. C \(\gamma-1\)
  4. D \(\gamma\)
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Answer & Solution

Correct Answer

(D) \(\gamma\)

Step-by-step Solution

Detailed explanation

\(C = C_V + \frac{R}{1-n}\) \(0 = \frac{R}{\gamma-1} + \frac{R}{1-n}\)
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