The Carnot's engine working between 400 K and 800 K has a work output of 1200 J per cycle. The amount of heat energy supplied to the engine from the source in each cycle is:

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Agniveer Vayu Science (Group X) 19 Jan 2023 Memory-Based Paper
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  1. 2400 J
  2. 1600 J
  3. 3200 J
  4. 1800 J

Answer (Detailed Solution Below)

Option 1 : 2400 J
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Detailed Solution

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CONCEPT:

→The efficiency of the heat engine is written as;

Here we have  and  are temperatures.

The efficiency of the heat engine is the ratio of the work done to the heat and it is written as;

Here we have W as the work done and Q as the heat.

CALCULATION:

Given: Temperature, T1 = 800 K, T2 = 400 K, Work, W = 1200 J 

As we know, 

⇒ 

⇒ 

Now, 

On putting all the values we have;

⇒ Q = 2400 J

Hence option 1) is the correct answer.

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