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A Carnot engine whose heat sinks at 27°C, has an efficiency of 25%. By how many degrees should the temperature of the source be changed to increase the efficiency by 100% of the original efficiency?
  • a)
    Increase by 18°C
  • b)
    Increase by 200°C
  • c)
    Increase by 120°C
  • d)
    Increase by 73°C
Correct answer is option 'B'. Can you explain this answer?
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A Carnot engine whose heat sinks at 27°C, has an efficiency of 25%...
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A Carnot engine whose heat sinks at 27°C, has an efficiency of 25%...
°C and 300 K has a work output of 200 J. Calculate the heat input and the efficiency of the Carnot engine.

To solve this problem, we can use the Carnot efficiency formula:

Efficiency = 1 - (Tc/Th)

where Tc is the temperature of the cold sink and Th is the temperature of the hot source.

Given:
Tc = 27°C = 27 + 273 = 300 K
Th = 300 K
W = 200 J

Let's first calculate the efficiency:
Efficiency = 1 - (Tc/Th)
Efficiency = 1 - (300/300)
Efficiency = 1 - 1
Efficiency = 0

The efficiency of the Carnot engine is 0, which means that all the heat input is converted into work output.

Now, let's calculate the heat input:
Efficiency = W / Qh
0 = 200 J / Qh
Qh = 200 J / 0
Qh = undefined

The heat input, Qh, is undefined because the efficiency is 0, indicating that no heat is input into the system.

In summary:
- The efficiency of the Carnot engine is 0.
- The heat input, Qh, is undefined.
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A Carnot engine whose heat sinks at 27°C, has an efficiency of 25%. By how many degrees should the temperature of the source be changed to increase the efficiency by 100% of the original efficiency?a)Increase by 18°Cb)Increase by 200°Cc)Increase by 120°Cd)Increase by 73°CCorrect answer is option 'B'. Can you explain this answer?
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