Question

Adiabatic Process.

Answer 1

An adiabatic process is one that occurs so rapidly or occurs in a system that is so well insulated that no transfer of energy as heat occurs between the system and its environment.

Equation of adiabatic process,

$P V^{\gamma}=$ constant

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

where, $\gamma=\left(\frac{C_{P}}{C_{V}}\right)$ is called adiabatic exponent.

Work done during an adiabatic process

$W=\frac{\left(P_{1} V_{1}-P_{2} V_{2}\right)}{(\gamma-1)}=\mu R \frac{\left(T_{1}-T_{2}\right)}{\gamma-1}$

The slope of adiabatic curve on a $P$ - $V$ diagram at any point on the curve is given by

$\frac{d P}{d V}=-\gamma\left(\frac{P}{V}\right)$

In an adiabatic expansion temperature of the gas will fall $\left(T_{2}<T_{1}\right)$ while in adiabatic compression temperature of the gas will rise $\left(T_{2}>T_{1}\right)$.