Question

In a condenser of a power plant, the steam condenses at a temperature of 60${}^{\circ }C$. The cooling water enters at 30${}^{\circ }C$ and leaves at 45${}^{\circ }C$. The Logarithmic Mean Temperature Difference (LMTD) of the condenser is

• A.
  16.2${}^{\circ }C$
• B.
  21.6${}^{\circ }C$
• C.
  30${}^{\circ }C$
• D.
  37.5${}^{\circ }C$

Answer 1

The correct option is B

21.6${}^{\circ }C$

$\therefore LMTD=\frac{\Delta T_1-\Delta T_2}{In\left(\frac{\Delta T_1}{\Delta T_2}\right)}$

$=\frac{30-15}{In\left(2\right)}={21.64}^{\circ }C$