150 J of heat is added to a gaseous system whose internal energy is 10 cal, then the amount of external work done is:
(A) 42 J
(B) 192 J
(C) 108 J
(D) 10 J
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Answer:
The first law of thermodynamics states that-
dq= du + dw
( where dq= heat added, -dq= heat taken away, dw= work done by the system, -dw= work done on the system )
Now, heat is added. We need to find work. Using the first law,
150= (10 × 4.2) + dw ( as 1 cal = 4.2 J)
⇒ dw= 150 - 42
⇒ dw= 108 J
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