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If the increase in internal energy of the system is 100 J, when 200 J heat is given to the system, then the work done will be:
1. 200 J
2. 300 J
3. 100 J
4. 0 J

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Correct Answer - Option 3 : 100 J


The first law of thermodynamics

This law states that the total heat given or taken out of the system will always be equal to the work done and change in the internal energy of the system.

​⇒ Q = W + ΔU

Where Q = heat, W = work done, and ΔU = change in internal energy


Given Q = 200 J, and ΔU = 100 J

By the first law of thermodynamics,

​⇒ Q = W + ΔU

​⇒ W = Q - ΔU

​⇒ W = 200 - 100

​⇒ W = 100 J

Hence, option 3 is correct.

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