In changing the state of a gas adiabatically from an equilibrium state
to another equilibrium state
, an amount of work equal to
is done on the system. If the gas is taken from state
to
via a process in which the net heat absorbed by the system is
, how much is the net work done by the system in the latter case ?
Text Solution
Verified by ExpertsD
Given, work done, 
Work done is taken negative as work is done on the system.
In an adiabatic change, 
Using first law of thermodynamics,

For another process between state
and state
,
Heat absorbed 

Change in internal energy between two states via different paths are equal.

From first law of thermodynamics,

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