A Carnot engine uses reservoirs at temperatures of 27.0 $\circ$ C and 327 $\circ$ C.In one cycle,it uses 1200 J of heat from the high temperature reservoir.How much heat is exhausted to the low temperature reservoir in one cycle?

Question

Quizplus · Accepted Answer

To find out how much heat is exhausted to the low temperature reservoir, we can use the formula for the efficiency of a Carnot engine:

efficiency = 1 - (T_low / T_high)

Where T_low is the temperature of the low temperature reservoir and T_high is the temperature of the high temperature reservoir.

In this case, we can plug in the values given:

efficiency = 1 - (300K / 600K) = 0.5

This means that for every 1 J of heat input, the engine produces 0.5 J of useful work and exhausts 0.5 J of heat to the low temperature reservoir.

Since the engine uses 1200 J of heat from the high temperature reservoir in one cycle, it must exhaust half of that amount, or:

1200 J / 2 = 600 J

Therefore, the answer is D) 600 J.

A Carnot Engine Uses Reservoirs at Temperatures of 27 ∘\circ∘ C and 327

A Carnot Engine Uses Reservoirs at Temperatures of 27 $\circ$ C and 327