## Essential University Physics: Volume 1 (3rd Edition)

We know the following: $dQ = nC_pdT$ We also can take the derivative of both sides of the equation $\Delta S = \frac{ Q}{T}$ to find : $d S = \frac{ dQ}{T}$ Combining these two equations, it follows: $dS = \frac{ nC_pdT}{T}$ $S = \int_{T_1}^{T_2}\frac{ nC_pdT}{T}$ $S = nC_p ln (\frac{T_2}{T_1})$