$*$ PLEASE JUST SOLVE PARTS E$,$F$,$G$,$H

The system to be studied in this problem has an average enthalpy of

vaporization of $32k\frac{J}{m}ol,$ an average $C_P^L$ of $146\frac{J}{m}ol-C,$ and an

average $C_P^V$ of $93\frac{J}{m}ol-$C$.$ Variable names for the various stream

flow rates and the heat flow rates are given in the diagram. The feed

can be liquid, vapor, or a mixture represented using subscripts to

indicate the vapor and liquid flows, $F=F_V+F_L.$ The enthalpy flow

due to feed can be represented as: for saturated liquid, $F_L{H}^{\text{s}\text{a}\text{t}\text{L}}$; for

saturated vapor, $F_V{H}^{\text{s}\text{a}\text{t}\text{V}}$; for subcooled liquid, $F_L{H}^{\text{s}\text{a}\text{t}\text{L}}+F_L{C}_P^L(T_F\}$

$\{$:$T^{\text{s}\text{a}\text{t}\text{L}})$; for superheated vapor, ; and for a

mix of vapor and liquid, $F_L{H}^{\text{s}\text{a}\text{t}\text{L}}+F_V{H}^{\text{s}\text{a}\text{t}\text{V}}.$

a$.$ Use a mass balance to show $F_V+V_S-V_R=L_S-L_R-F_L.$

$[$For parts $($b$)-($f$),$ use the feed section mass and

energy balances to show the desired result.$]$

b$.$ For saturated vapor feed, $F_L=0.$ Show $V_R=V_S+F_V,L_S=$

$L_R.$

c$.$ For saturated liquid feed, $F_V=0.$ Show $V_S=V_R,L_S=L_R+$

$F_L.$

d$.$ For subcooled liquid feed, $F_V=0.$ Show $V_R-V_S=$

$F_L{C}_P\frac{T_F-T^{\text{s}\text{a}\text{t}}}{}{H}^{\text{v}\text{a}\text{p}}.$

e$.$ For superheated vapor feed, $F_L=0.$ Show $L_S-L_R=$

$-F_V{C}_P\frac{T_F-T^{\text{s}\text{a}\text{t}}}{}{H}^{\text{v}\text{a}\text{p}}.$

f$.$ For a feed mixture of saturated liquid and saturated vapor.

Show $V_R=V_S+F_V,L_S=L_R+F_L.$