You have water at 100°C and 1 bar that should be used to produce 1 kg/s of superheated steam at 5 bar and 300°C in a continuous process. The following two alternatives are considered.
Alt. I:
i) Evaporation at 1 bar
ii) Adiabatic ideal compression from 1 bar to 5 bar
iii) Heating of the steam until 300°C.
Alt. II:
i) Pumping from 1 bar to 5 bar
ii) Heating of the liquid to the boiling point (152°C) and evaporation at 5 bar
iii) Heating of the steam until 300°C.
a) Sketch a flow sheet for the two alternatives.
b) Find the supplied heat and work in each step for one of the alternatives.
c) Explain, in a quantitative way, which option would be better in terms of supplied work.
Data: You can assume ideal gas (even for the steam vapor).
Liquid water Cp (specific heat capacity) = 4.18 kJ/kg K-1.
AHap (enthalpy of vaporization) = 2140 kJ/kg @ 153°C & 5 bar.
Vapor water Cp (specific heat capacity) = 1.87 kJ/kg K-1.
AHvap (enthalpy of vaporization) = 2260 kJ/kg @ 100°C & 1 bar.
For water vapor Cp/Cv (ratio of specific heat capacities) = 1.33.
The density (p) of water = 1000 kg/m3.