Question: Assume that enthalpy is a linear function h(s, T) = as + bT. Consider a single-flash cycle, assuming that the saturated liquid and vapor curves

Assume that enthalpy is a linear function h(s, T) = as + bT. Consider a single-flash cycle, assuming that the saturated liquid and vapor curves between T? and T+?form an isosceles trapezoid,

i.e.

Sliquid (T+) Sliquid (T ) = Svapor(T_) Svapor(T+)

Prove that the optimal separator temperature is

image

Sliquid (T+) Sliquid (T ) = Svapor(T_) Svapor(T+)

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