Question

A heat engine performs (245 + A) J of work in each cycle while also delivering...

A heat engine performs (245 + A) J of work in each cycle while also delivering (142 + B) J of heat to the cold reservoir. Find the efficiency of the heat engine. Give your answer in percent (%) and with 3 significant figures.

A=10

B=10

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Answer #1

A = 10

B = 10

Work done by the heat engine in each cycle = W = (245 + A) J = (245 + 10) J = 255 J

Heat delivered to the cold reservoir by the heat engine in each cycle = Qc = (142 + B) J = (142 + 10) J = 152 J

Heat extracted from the hot reservoir by the heat engine in each cycle = Qh

Qh = W + Qc

Qh = 255 + 152

Qh = 407 J

Efficiency of the heat engine =

= 0.627

= 62.7%

Efficiency of the heat engine = 62.7%

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