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You are designing a Carnot engine that has 2 mol of CO2 as

Chapter 20, Problem 36P

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QUESTION:

You are designing a Carnot engine that has 2 mol of CO2 as its working substance; the gas may be treated as ideal. The gas is to have a maximum temperature of 527o C and a maximum pressure of 5.00 atm. With a heat input of 400 J per cycle, you want 300 J of useful work. (a) Find the temperature of the cold reservoir. (b) For how many cycles must this engine run to melt completely a 10.0-kg block of ice originally at 0.0o C, using only the heat rejected by the engine?

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QUESTION:

You are designing a Carnot engine that has 2 mol of CO2 as its working substance; the gas may be treated as ideal. The gas is to have a maximum temperature of 527o C and a maximum pressure of 5.00 atm. With a heat input of 400 J per cycle, you want 300 J of useful work. (a) Find the temperature of the cold reservoir. (b) For how many cycles must this engine run to melt completely a 10.0-kg block of ice originally at 0.0o C, using only the heat rejected by the engine?

ANSWER:

Solution 36P To solve this question, we shall have to use the following two equations: (a) The efficiency of a heat engine = W …..(1), where W is the work done by the QH engine and Q H is the amount of heat absorbed by the engine. The efficiency of a Carnot engine is given by, = 1 T C …..(2). Here T is the Carnot T H C temperature of the cold reservoir and T H is the temperature of the hot re

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