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Consider the cyclic process described by the figure below. If Q is negative for

ID: 1552333 • Letter: C

Question

Consider the cyclic process described by the figure below. If Q is negative for the process BC and Delta U is negative for the process CA, determine the signs of Q, W, and Delta U associated with each process. AB BC CA In one cycle a heat engine absorbs 460 J from a high-temperature reservoir and expels 320 J to a low-temperature reservoir. If the efficiency of this engine is 55% of the efficiency of a Carnot engine, what is the ratio of the low temperature to the high temperature in the Carnot engine? T_low/T_high = 0.4473

Explanation / Answer

Carnot efficiency = 1 - Tlow / Thigh

eFFICIENCY = WORK DONE /HEAT SUPPLIED

= (460 - 320) / 460

   = 0.304

0.304 = 0.55(1 - Tlow / Thigh )

Tlow / Thigh = 0.446