Explain the work (electrical) done on an adiabatic system is equal to the increase in the energy of the system.
Explain the work (electrical) done on an adiabatic system is equal to the
increase in the energy of the system.
As per the 1st law of thermodynamics, within a reversible closed system, net heat interaction is always equal to net work interaction and change in internal energy. Suppose electrical work (dW) is done on a system, and no heat interaction is there (adiabatic, dQ = 0). In that case, energy internal energy dE (in the form of heat) of the system gets increased.
dQ = dW + dE…… (1)
Here, the heat transfer is dQ.
In adiabatic system no heat interaction takes place the system boundary, so dQ = 0.
Substitute dQ=0 in equation (1).
Here dW is negative, since work is done on the system (electrical energy given to the system)
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