Thermodynamics Question 235

Question: A perfect gas goes from a state A to another state B by absorbing $ 8\times 10^{5}J $ of heat and doing $ 6.5\times 10^{5}J $ of external work. It is now transferred between the same two states in another process in which it absorbs $ 10^{5}J $ of heat. hi the second process

Options:

A) work done by gas is $ 10^{5}J $

B) work done on gas is $ 10^{5}J $

C) work done by gas is $ 0.5\times 10^{5}J $

D) work done on the gas is $ 0.5\times 10^{5}J $

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Answer:

Correct Answer: D

Solution:

[d] $ dU=dQ-dW=( 8\times 105-6.5\times 105 ) $

$ =1.5\times 10^{5}J $

$ dW=dQ-dU=10^{5}-1.5\times 10^{5} $

$ =-0.5\times 10^{5} $

$ - $ ve sign indicates that work done on the gas is $ 0.5\times 10^{5}J $



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