Molar heat capacity

Adding heat to a substance changes its temperature in accordance to $\Delta Q=nc_M\Delta T$ $\Delta Q=$ change in heat $n=$ moles of substance $c_M=$ molar heat capacity $\Delta T=$ change in temperature

At constant volume, $c_M=c_V$ . At constant pressure, $c_M=c_P$ .

For an ideal gas, $c_P=c_V+R$ . For an incompressible substance, $c_P=c_V$ .

In adiabatic compression ( $\Delta Q=0$ ) of an ideal gas, $PV^\gamma$ stays constant, where $\gamma=\frac{c_V+R}{c_V}$ .

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Molar heat capacity