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Question

# A gas can be taken from A to B via two different processes, ACB and ADB. When path ACB is used, 60 J of heat flows into the system and 30 J of work is done by the system. If path ADB is used, work done by the system is 10 J. The heat flow into the system in path ADB is:

A
100 J
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B
80 J
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C
20 J
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D
40 J
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Solution

## The correct option is D 40 J ΔU remains same for both paths ACB and ADB as the initial and the final states of both the path are same. From the first law of thermodynamics, ΔQACB=ΔWACB+ΔUACB ⇒60 J=30 J+ΔUACB ⇒UACB=30 J ∴ΔUADB=ΔUACB=30 J Again, using the first law of thermodynamics, ΔQADB=ΔUADB+ΔWADB ⇒ΔQADB=30 J+10 J=40 J Hence, option (A) is correct.

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