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A carnot engine extracts 1200J of energy from a hot reservoir. What is the amount of work done by it? Temperatures of hot and cold reservoirs are 200K and 150K respectively.
- a)800J
- b)900J
- c)600J
- d)850J
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
A carnot engine extracts 1200J of energy from a hot reservoir. What is...
The efficiency of a carnot engine is:
1- T2/T1 = 1-150/200 = 1/4.
Efficiency is also given by: 1 – Q2/Q1 = 1 – Q2/1200 = 1/4.
Q2 = 3/4 *1200 = 900J.
1- T2/T1 = 1-150/200 = 1/4.
Efficiency is also given by: 1 – Q2/Q1 = 1 – Q2/1200 = 1/4.
Q2 = 3/4 *1200 = 900J.
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A carnot engine extracts 1200J of energy from a hot reservoir. What is...
Given:
Hot reservoir temperature (Th) = 200 K
Cold reservoir temperature (Tc) = 150 K
Energy extracted from the hot reservoir (Qh) = 1200 J
To find:
Work done by the Carnot engine
Formula:
The efficiency of a Carnot engine is given by the formula:
Efficiency (η) = 1 - (Tc/Th)
The work done by the Carnot engine is given by the formula:
Work (W) = η * Qh
Calculation:
Given that the energy extracted from the hot reservoir (Qh) is 1200 J.
Using the formula for efficiency:
η = 1 - (Tc/Th)
η = 1 - (150/200)
η = 1 - 0.75
η = 0.25
Now, using the formula for work:
W = η * Qh
W = 0.25 * 1200
W = 300 J
Therefore, the work done by the Carnot engine is 300 J.
Answer:
The amount of work done by the Carnot engine is 300 J.
Hot reservoir temperature (Th) = 200 K
Cold reservoir temperature (Tc) = 150 K
Energy extracted from the hot reservoir (Qh) = 1200 J
To find:
Work done by the Carnot engine
Formula:
The efficiency of a Carnot engine is given by the formula:
Efficiency (η) = 1 - (Tc/Th)
The work done by the Carnot engine is given by the formula:
Work (W) = η * Qh
Calculation:
Given that the energy extracted from the hot reservoir (Qh) is 1200 J.
Using the formula for efficiency:
η = 1 - (Tc/Th)
η = 1 - (150/200)
η = 1 - 0.75
η = 0.25
Now, using the formula for work:
W = η * Qh
W = 0.25 * 1200
W = 300 J
Therefore, the work done by the Carnot engine is 300 J.
Answer:
The amount of work done by the Carnot engine is 300 J.
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A carnot engine extracts 1200J of energy from a hot reservoir. What is the amount of work done by it? Temperatures of hot and cold reservoirs are 200K and 150K respectively.a)800Jb)900Jc)600Jd)850JCorrect answer is option 'B'. Can you explain this answer?
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