Chemical Engineering Thermodynamics
The efficiency of a Carnot heat engine operating between absolute temperatures T₁ and T₂ (when, T₁ > T₂) is given by (T₁ - T₂)/T₁. The co-efficient of performance (C.O.P.) of a Carnot heat pump operating between T₁ and T₂ is given by

T₂/(T₁-T₂)
T₂/R1
T₁/T₂
T₁/(T₁-T₂)

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Chemical Engineering Thermodynamics
High pressure steam is expanded adiabati-cally and reversibly through a well insulated turbine, which produces some shaft work. If the enthalpy change and entropy change across the turbine are represented by ΔH and ΔS respectively for this process:

Δ H = 0 and ΔS = 0
Δ H ≠ 0 and ΔS ≠ 0
Δ H ≠ 0 and ΔS = 0
Δ H = 0 and ΔS ≠ 0

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