Q$.1$ Hot oil is passed through a double pipe heat exchanger at $150C.$ The hot oil is used to pre heat cold water which enters at $30C.$ The exit temperature at the hot oil is $110C.$

a$)$ If the specific heat of hot oil and water is $0\mathrm{.}41kJk{g}^{-1}{K}^{-1}$ and $4\mathrm{.}184kJk{g}^{-1}{K}^{-1}$ and mass flow rates of hot oil and water is $1200k\frac{g}{h}$ and $1286k\frac{g}{h}$ calculate heat capacity and log mean temperature difference for both co$-$current and counter current scenario.

b$)$ If the specific heat of hot oil and water is equal and mass flow rates of hot oil and water is $1200k\frac{g}{h}$ and $1286k\frac{g}{h}$ calculate the log mean temperature difference for both co$-$current and counter current scenario.