Chapter 5, Problem 5.48P

A flue gas is cooled from 2000 to 300( °F), and the heat is used to generate saturated steam at 212(°F) in a boiler. The flue gas has a heat capacity given by:

$\frac{C_P}{R}=3.83+0.000306T/\left(R\right)$

Water enters the boiler at 212(°F) and is vaporized at this temperature: its latent heat of vaporization is 970.3(Btu)(lb_m)^-1.
(a) With reference to a surroundings temperature of 70(°F), what is the lost work of this process in (Btu)(lb mole)^-1 of flue gas?
(b) With reference to a surroundings temperature of 70(⁰F), what is the maximum work, in (Btu)(lb mole) -1 of flue gas, that can be accomplished by the saturated steam at 212(°F) if it condenses only, and does not subcool?
(c) How does the answer to part (b) compare with the maximum work theoretically obtainable from the flue gas itself as it is cooled from 2000 to 300(°F)?