AP EAMCET · PHYSICS · Thermodynamics
When an ideal diatomic gas undergoes adiabatic expansion, if the increase in its volume is \(0.5 \%\), then the change in the pressure of the gas is
- A \(+0.5 \%\)
- B \(-0.5 \%\)
- C \(-0.7 \%\)
- D \(+0.7 \%\)
Answer & Solution
Correct Answer
(C) \(-0.7 \%\)
Step-by-step Solution
Detailed explanation
\(PV^\gamma = \text{constant}\) \(\gamma = 7/5 = 1.4\) \(\frac{\Delta P}{P} = -\gamma \frac{\Delta V}{V}\) \(\frac{\Delta P}{P} = -1.4 \times (+0.005)\) \(\frac{\Delta P}{P} = -0.007 = -0.7\%\)
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