Answer
(a) $W = 215 J $
(b) $T_C = 378K$
(c) $\epsilon = 39 \%$
Work Step by Step
(a) Work is done
$W = 𝑄_𝐻 - 𝑄_𝐶 $
$W = 550 J- 335 J $
$W = 215 J $
(b) For Carnot cycle,
$\frac{Q_C}{Q_H} = \frac{T_C}{T_H}$
$T_C = \frac{Q_C}{Q_H} T_H $
$T_C = \frac{335 J}{550 J} 620K $
$T_C = 378K$
(c) $\epsilon = 1 - |\frac{T_C}{T_H}|$
$\epsilon = 1 - |\frac{378K}{620K }|$
$\epsilon = 0.39 = 39 \%$
