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Question
A closed system receives 200 kJ of constant volume. It then rejects 100 kJ of heat while it has 50 kJ of work done on it at constant pressure. If an adiabatic process can be found which can be found which will restore the system to its initial state, the work done by the system during this process is
A closed system receives 200 kJ of constant volume. It then rejects 100 kJ of heat while it has 50 kJ of work done on it at constant pressure. If an adiabatic process can be found which can be found which will restore the system to its initial state, the work done by the system during this process is
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Solution
The correct option is C 150 kJ
Through the first process,
200 kJ at constant volume.
Hence internal energy increases by 200 kJ,
For second process:
q=−100 kJ
w=−50 kJ
Hence ΔU=−50kJ
Including both step one and two, change in IE is 150 kJ
Now to go back to initial state, the Internal energy must decrease by 150 kJ
Given that process is adiabatic.
Using 1st law; q=ΔU+w
0=−150+w
w=150 kJ
Hence option C.
Through the first process,
200 kJ at constant volume.
Hence internal energy increases by 200 kJ,
For second process:
q=−100 kJ
w=−50 kJ
Hence ΔU=−50kJ
Including both step one and two, change in IE is 150 kJ
Now to go back to initial state, the Internal energy must decrease by 150 kJ
Given that process is adiabatic.
Using 1st law; q=ΔU+w
0=−150+w
w=150 kJ
Hence option C.
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