What is the difference between enthalpy and entropy?

1 Answer
Nov 24, 2015

Almost... everything. Letter, units... everything except that they're state functions and expressions of energy.

Enthalpy:

color(blue)(DeltaH) = DeltaU + Delta(PV)

= q + w + Delta(PV)

= q cancel(- PDeltaV + PDeltaV) + VDeltaP + DeltaPDeltaV

= color(blue)(q + VDeltaP + DeltaPDeltaV)

where U is internal energy, q is heat flow, w is expansion/compression work, and of course, P is pressure and V is volume.

The units for the generic enthalpy are usually in "kJ".

This makes enthalpy the heat flow in a closed system, plus the amount of expansion/compression work done via a change in pressure.

Entropy:

color(blue)(DeltaS >= q/T)

color(blue)(DeltaS = (q_"rev")/T)

The units for the generic entropy are usually in "J/K".

This makes entropy equal to the amount of reversible heat flow possible per unit temperature.