As we shall see later, a Carnot engine is an engine that sets an upper limit on

Question

As we shall see later, a Carnot engine is an engine that sets an upper limit on the efficiency of any real engine. The efficiency c of a Carnot engine working between two heat reservoirs at temperatures (in Kelvin!) T_h and T_c is given by c = 1 - T_c/T_h Suppose a Carnot engine works between two heat reservoirs at temperatures T_h = 323 K and T_c = 66 K. (a) What is its efficiency? % (b) If it absorbs 121 J from the hot reservoir during each cycle, how much work does it do? J (c) How much heat does it give off in each cycle? J

Explanation / Answer

A) Efficiency = 1 - Tc/Th

= 1 - 66 /323 = 0.7956

= 79.56 %

b) work done / heat suppled = efficiency

W/121 = 0.7956

W = 96.27 J

c) heat released = Q-W

= (121 - 96.27) = 24.72 J

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