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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?
Most Upvoted Answer
A Carnot engine whose heat sinks at 27°C, has an efficiency of 25%...
°C and 127°C has an efficiency of 50%. What is the temperature of the heat source?

First, we need to use the formula for the efficiency of a Carnot engine:

efficiency = (T_source - T_sink) / T_source

where T_source is the temperature of the heat source and T_sink is the temperature of the heat sink.

We can rearrange this formula to solve for T_source:

T_source = T_sink / (1 - efficiency) + T_sink

Plugging in the values given in the problem:

T_sink = 127°C = 400 K
efficiency = 0.5

T_source = 400 / (1 - 0.5) + 400 = 800 K

Therefore, the temperature of the heat source is 800 K or 527°C.
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Community Answer
A Carnot engine whose heat sinks at 27°C, has an efficiency of 25%...
Initially:

⇒  TH = 400 K
Finally: Efficiency becomes 1/2

⇒ Temperature of the source should be increased by 200°C.
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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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