Carnot engine a has an efficiency of 0.57, and carnot engine b has an efficiency of 0.72. both engines utilize the same hot reservoir, which has a temperature of 615 k and delivers 1248 j of heat to each engine. find (a), (b) the magnitude of the work produced by engine a and b respectively and (c), (d) the temperatures of the cold reservoirs that they use.

710.79 Joules

898.56 Joules

264.45 K

172.2 K

Explanation:

W = Work done

Q = Heat added = 1248 J

= Temperature of hot reservoir = 615 K

= Temperature of cold reservoir

Efficiencies of engine A and B

= 0.57

= 0.72

Efficiency is given by

Work done by engine A is 710.79 Joules

Work done by engine B is 898.56 Joules

Efficiency

The temperature of the cold reservoir is 264.45 K

The temperature of the cold reservoir is 172.2 K