Question

Pressure-temperature relationship for an ideal gas undergoing adiabatic change is $(\gamma = C_{p}/C_{v})$

• A. $PT^{\gamma} =$constant
• B. $PT^{- 1 + \gamma} =$constant
• C. $P^{\gamma - 1}T^{\gamma} =$constant
• D. $P^{1 - \gamma}T^{\gamma} =$constant

Answer 1

Answer: (D)

$P^{1 - \gamma}T^{\gamma} =$constant

Answer 2

$PV^{\gamma} =$constant

⇒ $P\left( \frac{RT}{P} \right)^{\gamma} =$constant

⇒ $P^{1 - \gamma}T^{\gamma} =$constant.