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anastassius [24]
3 years ago
7

A combination of a heat engine driving a heat pump (see Fig. P7.106) takes waste energy at 50°C as a source Qw1 to the heat engi

ne rejecting heat at 30°C. The remainder Qw2 goes into the heat pump that delivers a QH at 150°C. If the total waste energy is 5 MW find the rate of energy delivered at the high temperature.
Chemistry
1 answer:
erma4kov [3.2K]3 years ago
7 0

Answer:

1.08 MW

Explanation:

Given that:

Heat supplied to heat engine

Q_{WS} = 5 MW

Temperature of the hot source of engine

T_{WS} = 323 K

Temperature of the cold source of engine

T_L = 303 K

the temperature and heat relation for a reversible heat engine can be presented as follows:

\frac{T_L}{T_{WS}} =\frac{Q_L}{Q_{WS}}

\frac{303}{323} =\frac{Q_L}{5}

Q_L = 4.69 MW

TO determine the work done by the heat engine ; we have:

W_{engine}=Q_{WS}-Q_{L}

W_{engine}=5 -4.69

W_{engine}=0.309MW

The temperature and heat relation for the reversible heat pump can be written as:

\frac{T_H}{T_L}=\frac{Q_H}{Q_L}

\frac{T_H}{T_L}=\frac{Q_H}{Q_H-W}

\frac{423}{303} =\frac{Q_H}{Q_H-W}

Q_H=1.396-0.309\\Q_H=1.08MW

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