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Question

Work done in an adiabatic process between a given pair of end states depends on

A
the end states only
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B
particular adiabatic process
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C
mass of the system
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D
none of the above
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Solution

The correct option is B the end states only
End states are determined by the internal energy (U) levels at these states.
If heat energy dQ is given to a system, then by first law of thermodynamics:
dQ=dW+dU
For an adiabatic process, dQ=0
Hence, dW=dU
Above equation shows that work done in an adiabatic process depends only upon end states (determined by U).

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