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The change in the internal energy of the system will be 500J.
Internal energy is a state function. It depends only on the state of the system and not on the method used to achieve that state.
Let's change the internal energy of the system by doing adiabatic process. There are two ways to do this.
(1) By the mechanical work of turning a series of small paddles.
(2) By electrical work using a dipstick.
It is determined that the temperature rises from T1 to T2 by the same amount. Thus, the same work done, regardless of how it is done, produces the same change in state, measured as a change in temperature.
Q=u+w
u=Q-w
u=2000-2500=500 J
To understand more about adiabatic process -
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