Evaporation is commonly used to concentrate dissolved solids in a liquid feed stream and produce pure water vapor. In the process below, heat for the water vaporization is supplied by condensation of steam in a heating coil passing through in the evaporator.

An aqueous slurry at $40\mathrm{.}0C$ and $1\mathrm{.}01325$ bar containing $5\mathrm{.}00wt\%$ dissolved salt is fed to the evaporator, and a liquid containing $25\mathrm{.}0$ wt$\%$ dissolved salt leaves as product together with a water vapor stream. The internal pressure in the evaporator is $600mmHg$ absolute$,$ and the vapor $)$ and liquid $(L)$ streams leaving the evaporator are at the same temperature as the evaporator contents.

Saturated steam at $10\mathrm{.}0$ bar absolute enters the heating coil and saturated liquid at the same pressure exits the heating coil, with the latent heat evaporating water in the process.

Use a balance on salt and a total balance to determine the vapor $(V^{})$ and liquid $(L^{})$ outputs for $F^{}=1000\mathrm{.}0k\frac{g}{h}.$

$V^{}=,k\frac{g}{h}$

$L^{}=,k\frac{g}{h}$

Assume the feed to have the properties of saturated liquid water at $40\mathrm{.}0C.$ What is the specific enthalpy of the feed stream with respect to liquid water at the triple point? $($Use the steam tables.$)$

widehat$(H{)}_F=$

$(k\frac{J}{k}g)$

Assume that the properties of the vapor and liquid streams are those of saturated vapor and liquid at $600mmHg$ and determine the following quantities from the steam tables for those streams with the triple point of water as the reference.

$T(C),$widehat$(H{)}_L(k\frac{J}{k}g),$widehat$(H{)}_V(k\frac{J}{k}g)$

Assume that the properties of the steam and condensate are those of saturated water vapor and liquid respectively at $10\mathrm{.}0$ bar. Use the steam tables to determine the temperature of the steam and the enthalpy of vaporization.

$T(C),widehat(H{)}_v(k\frac{J}{k}g)$

Now calculate the specific enthalpies of the vapor $($ V $)$ and liquid $(L)$ streams of the evaporator with respect to the state of the feed $F$ to the evaporator using the following data for the properties of the evaporator contents. Please help find the enthalpies of vapor and liquid along with the mass flow rate