(a) COP$= \frac{T_{2}}{T_{1} - T_{2}} = \frac{273 - 23}{(273 + 77) - (273 - 23)} = \frac{250}{100} = 2.5$ As COP$= \frac{Q_{2}}{W}$ $\therefore\ 2.5 = \frac{1000 \times 80 \times 4.2}{W}$ or $W = \frac{1000 \times 80 \times 4.2}{2.5} = 134400\ J$
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