Isentropic

Describes a process that doesn’t change in entropy. Is also a reversible adiabatic process

$\Delta S=0$

$\mathrm{d}\sigma =0$

• Statistical mechanics interpretation

$\frac{\mathrm{d}}{\mathrm{d}t}V{\tau }^{\frac{3}{2}}=0$

• This quantity stays constant in isentropic processes

${\tau }_1{V}_1^{\gamma -1}={\tau }_2{V}_2^{\gamma -1}$

• $\gamma$ is the heat capacity ratio

$t{a}_1^{\gamma /(1-\gamma )}{p}_1={\tau }_2^{\gamma (1-\gamma )}{p}_2$

$p_1{V}_1^{\gamma }=p_2{V}_2^{\gamma }$