Thermodynamics Question 297

Question: When the state of a gas adiabatically changed from an equilibrium state A to another equilibrium state B an amount of work done on the system is 35 J. If the gas is taken from state A to B via process in which the net heat absorbed by the system is 12 cal, then the net work done by the system is $ ( 1cal=4.19J ) $

Options:

A) 13.2 J

B) 15.4 J

C) 12.6 J

D) 16.8 J

Show Answer

Answer:

Correct Answer: B

Solution:

[b] In the first-case adiabatic change, $ \Delta Q=0,\Delta W=-35J $ From 1st law of thermodynamics, $ \Delta Q=\Delta U+\Delta W, $

In the second case $ \Delta Q=12cal=12\times 4.2J=50.4J $

$ \Delta W=\Delta Q-\Delta U=50.4-35=15.4J $



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