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COMEDK · Physics · 13. Thermodynamics

In an adiabatic expansion of air, the volume is increased by \(6.2 \%\). The percentage change in pressure is \((\gamma=1.4)\)

  1. A 4.84
  2. B 6.48
  3. C 8.68
  4. D 2.24
Verified Solution

Answer & Solution

Correct Answer

(C) 8.68

Step-by-step Solution

Detailed explanation

For an adiabatic process, the relation between pressure \(P\) and volume \(V\) is given by \(PV^{\gamma} = \text{constant}\). Taking the logarithmic differentiation of the equation \(PV^{\gamma} = C\), we get \(\ln P + \gamma \ln V = \ln C\). Differentiating both sides, we…