Heat and Mass Transfer in Food Processing

A plate heat exchanger transfers heat at a rate $Q = 100\text{ kW}$ with an overall heat transfer coefficient $U = 2000\text{ W/(m}^2\cdot\text{K)}$ and $LMTD = 10.0\text{ K}$. Using $Q = U A \Delta T_m$, the required effective heat transfer area $A$ in m$^2$ is: