Which of the following is true in the case of an adiabatic process, where $\gamma=C_p / C_V$ ?
Which of the following is true in the case of an adiabatic process, where $\gamma=C_p / C_V$ ?
$p^{1-\gamma} T^\gamma=$ constant
$p^\gamma T^{1-\gamma}=$ constant
$p T^\gamma=$ constant
$p^\gamma T=$ constant
Solution
For adiabatic change equation of state is
$
p V^\gamma=\text { constant }
$
It can also be re-written as
$
T V^{\gamma-1}=\text { constant }\left[\text { as } p=\frac{n R T}{V}\right]
$
and $\quad p^{1-\gamma} T^\gamma=$ constant $\left[\right.$ as $\left.V=\frac{n R T}{p}\right]$