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What is the mathematical reason as to why the following is through at the triple point temperature $T_3$?

$$ L_{solid -> gas} = L_{solid -> liquid} + L_{liquid -> gas}$$

Where $L$ is latent heat.

I tried convincing myself through the idea of state functions of the system, where only the final and initial states matters. However, I ran into a problem because latent heat $L$ is effectively the heat abosrbed during a change of state, however, heat $Q$ is not a state function itself.

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A good explanation , why enthalpy $\Delta H$ is a state function, is because $\Delta H = \Delta U - \Delta (pV)$. Notice that the functions on the right are state functions. Hence, enthalpy is a state function.

So this means if the system changes state from a given set of pressure, volume and temperature variables ,to another, enthalpy is always same for the same state change.

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  • $\begingroup$ Hi, can I ask then how is enthalpy related to latent heat? $\endgroup$ – Tian Apr 2 '17 at 1:57

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