Answer:
The work done by the carnot engine per cycle is 1318.31 J
Explanation:
Given;
high temperature reservoir, Th = 435 k
temperature of river water, Tl = 280 k
heat energy absorbed per cycle, Q = 3700 J
Determine the work done per cycle is calculated as;
[tex]W = Q(1-\frac{T_l}{T_h} )[/tex]
Where;
W is the work done
Q is the absolute heat absorbed per cycle
Tl is the temperature of the cold liquid
Th is the temperature of the hot reservoir
[tex]W = Q(1-\frac{T_l}{T_h} )\\\\W = 3700(1 - \frac{280}{435} )\\\\W = 3700 (1-0.6437)\\\\W = 1318.31 \ J[/tex]
Therefore, the carnot engine operating at the given conditions, performs 1318.31 J work per cycle.