In a counter flow heat exchanger, if the hot and cold fluids enter at T1 and T2, respectively, whereas cold fluid leaves at T3 and hot fluid leaves at T4, then LMTD is given by: 

1
\(\rm \frac{(T_1-T_3)-(T_2-T_4)}{In\frac{(T_1-T_3)}{(T_2-T_4)}}\)
2
\(\rm \frac{(T_1-T_2)+(T_3-T_4)}{In\frac{(T_1-T_2)}{(T_3-T_4)}}\)
3
\(\rm \frac{(T_1-T_2)-(T_3-T_4)}{In\frac{(T_1-T_2)}{(T_3-T_4)}}\)
4
\(\rm \frac{(T_1-T_3)-(T_4-T_2)}{In\frac{(T_1-T_3)}{(T_4-T_2)}}\)

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