Steam in the condenser of a thermal power plant is to be condensed at a temperature of 30^{\circ} {C} with cooling water which enters the tubes of the condenser at 14^{\circ} {C} and exits at 22^{\circ} {C} .0 v e r a l l heat transfer coefficient is 2000 {W} {/} {m}^{2} {K} and the total surface area of the tubes is 50 {m}^{2}. Net heat transfer (in MW) is _______________(correct to two decimal places).

GATE Mechanical Engineering (ME) 2018 Shift 2 Solved Paper

Question : 41 of 65

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Steam in the condenser of a thermal power plant is to be condensed at a temperature of

30^{∘} {C}

with cooling water which enters the tubes of the condenser at

14^{∘} {C}

and exits at

22^{∘} {C} .0 v e r a l l

heat transfer coefficient is

2000 {W} {/} {m}^{2} {K}

and the total surface area of the tubes is

50 {m}^{2}

. Net heat transfer (in MW) is _______________(correct to two decimal places).

Solution:

∴ (LMTD) of HE

=\;{∆ T_{i}-∆ T_{e}}/{\In \;{T_{i}}/{T_{e}}}=\;{16-8}/{\In(\;{16}/{8})}

=11.54^{∘} {C}

Total heat transfer,

{Q}= {U} . {A}

. (LMTD)

{Q}=2000 × 50 × 11.54

{Q}=1.154 {MW}

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