Question

Which of the following is true in the case of an adiabatic process, where $\gamma = C_{p} / C_{v} $ ?

• A. $p^{1 -\gamma} T^{1 - y} $ = constant
• B. $p^{\gamma} T^{1 - \gamma} $ = constant
• C. $p T^{ y} $ = constant
• D. $p^{\gamma} T$ = constant

Answer 1

Answer: (A)

For adiabatic change equation of state is
$pV^{\gamma} $ = constant
It can also be re-written as
$TV^{\gamma - 1} $ = constant as $p = \frac{ n RT}{V}$
and $p^{1- \gamma} T^{y}$ = constant as $V = \frac{nRT}{p} $