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.