Solution Found!
Solved: You are designing a Carnot engine that has 2 mol
Chapter 20, Problem 36P(choose chapter or problem)
Problem 36P
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?
Questions & Answers
QUESTION:
Problem 36P
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 …..(1), where W is the work done by the engine and
is the amount of heat absorbed by the engine.
The efficiency of a Carnot engine is given by, …..(2). Here
is the temperature of the cold reservoir and
is the temperature of the hot reservoir.
Now, given in the question,
Heat input