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Question

In a thermodynamic process, the pressure of a fixed mass of a gas is changed such that the gas releases 20 J of heat and 8 J of work is done on the gas. If the initial internal energy of the gas was 30 J, then what will the final energy be?


A

2J

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B

58J

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C

18J

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D

42J

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Solution

The correct option is C

18J


Explanation for the correct option:

Option (C):

  • As per the given data:
  • The heat released in the process, dQ=-20J
  • Work done on the system, dW=-8J
  • And the initial internal energy of the process,U1=30J
  • According to the 1st law of thermodynamics:

dQ=dU+dWdU=dQ-dW=-20+8=-12J

  • Hence, the final internal energy of the process can be calculated as:

U2=U1+dU=30-12=18J

Therefore, the final energy of the system has been calculated to be 18J.


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