(a)
To show: The overall efficiency of the two engine is
(a)
Answer to Problem 8P
The overall efficiency of the two engine is
Explanation of Solution
Given info: The efficiency of the two engine is
Write the expression of the efficiency of the engine
Here,
Write the expression of the efficiency of the engine
Here,
The exhaust
Here,
Substitute
Write the expression of the efficiency of the two engine device.
Substitute
Substitute
Conclusion:
Therefore, the overall efficiency of the two engine is
(b)
The efficiency of the combination engine.
(b)
Answer to Problem 8P
The efficiency of the combination engine is
Explanation of Solution
Given info: The efficiency of the two engine is
The overall efficiency of the two engine is,
Write the expression of the Carnot efficiency of the engine
Write the expression of the Carnot efficiency of the engine
Substitute
Conclusion:
Therefore, the efficiency of the combination engine is
(c)
Whether the efficiency is improved by using two engine instead of one.
(c)
Answer to Problem 8P
The efficiency is remains same even after combining the two engine.
Explanation of Solution
Given info: The efficiency of the two engine is
The Carnot engine has the maximum efficiency and no engine can have the efficiency more than the Carnot engine’s efficiency.
If the two Carnot engine is combined together than the efficiency is remain same because the combined engine is also a Carnot engine. So there is no requirement to use two engines simultaneously instead of one engine to improve the net efficiency. The work output increases but on the other hand the heat supplied also increase.
Conclusion:
Therefore, the efficiency is remains same even after combining the two engine.
(d)
The value of the intermediate temperature
(d)
Answer to Problem 8P
The value of the intermediate temperature
Explanation of Solution
Given info: The efficiency of the two engine is
The work done by both the engine is same.
Write the expression of the efficiency of the two engine device.
Substitute
Substitute
Substitute
Conclusion:
Therefore, the value of the intermediate temperature
(e)
The value of the intermediate temperature
(e)
Answer to Problem 8P
The value of the intermediate temperature
Explanation of Solution
Given info: The efficiency of the two engine is
The efficiency of both the engine is same.
Substitute
Conclusion:
Therefore, the value of the intermediate temperature
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Chapter 18 Solutions
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