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Stored vs transient energy; total energy

Short answer

Stored energy is energy possessed within a system as a property (state function), e.g., internal, kinetic, potential energy. Transient energy, like heat and work, crosses the boundary during interactions, is not a property, and is path-dependent. Total energy E = U + KE + PE.

Explain the differences between stored energy and transient energy with examples. Also define total energy.

Energy of a system exists in two ways: stored in the system (a property) or in transit across its boundary.

BasisStored energyTransient (transit) energy
MeaningEnergy possessed by the system within its boundaryEnergy that crosses the boundary during a process
Is it a property?Yes (state function)No (path function)
ExistsAt any state of the systemOnly during the interaction
DifferentialExact, dEInexact, δQ, δW
ExamplesInternal energy U, kinetic energy ½mV², potential energy mgzHeat Q, work W (also energy carried by mass in open systems)

Example: Hot water in a closed tank has stored internal energy. If the tank is heated through its wall, the heat Q is transient energy; once it enters, it is stored as increased internal energy. Stirring the water with a paddle is work, also transient, which then appears as stored internal energy.

Total energy

Total energy E of a system is the sum of all forms of energy stored in it:

E = U + KE + PE (+ chemical, nuclear, electrical, etc. if present)

where U = internal energy, KE = ½mV², PE = mgz. On a unit mass basis: e = u + V²/2 + gz. For a stationary system, E = U.

✓ Answer checked by Claude Opus 5.5 (high effort)

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