MCQ
Pressure-temperature relationship for an ideal gas undergoing adiabatic change is $\left(\gamma=C_p / C_v\right)$
- A$P T^\gamma=$ constant
- B$P T^{-1+\gamma}=$ constant
- C$P^{\gamma-1} T^\gamma=$ constant
- ✓$P^{1-\gamma} T^\gamma=$ constant
✓
Answer
Correct option: D.
$P^{1-\gamma} T^\gamma=$ constant
(d)$PV^\gamma=\text{constant}$
$\Rightarrow P\left(\frac{RT}{P}\right)^\gamma=\text { constant } $
$\Rightarrow P^{1-\gamma} T^\gamma=\text { constant. }$
$\Rightarrow P\left(\frac{RT}{P}\right)^\gamma=\text { constant } $
$\Rightarrow P^{1-\gamma} T^\gamma=\text { constant. }$
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