Problem #$3$:

Given: The heat exchanger shown in the figure is to heat oil flowing through tubes using steam on the outside of the tubes. The mass flow rate of the oil is $0\mathrm{.}73k\frac{g}{s}.$ The inlet and outlet temperatures of the oil should be $20$ and $90C,$ respectively. The inlet and outlet temperatures of the steam are $135$ and $115C,$ respectively.

Assume: Specific heat of the oil and steam are $1\mathrm{.}91k\frac{J}{k}gC$ and $1\mathrm{.}85k\frac{J}{k}gC,$ respectively. Overall heat transfer coefficient is $U=280\frac{W}{m^{2\text{@}}}C.$

Find: The required heat exchanger surface area, $A$ in units of $m^2,$ using the Log Mean Temperature Difference Method with Correction Factor.

Problem #$4$:

Repeat problem #$3$ using the Effectiveness$-$NTU method to find the required area, $A$ in units of $[$m$^2].$