The boiling point of a compound at P $=0\mathrm{.}1$ MPa is

$150$ K$.$ The Linde liquefaction process will be used to

produce saturated liquid at P $=0\mathrm{.}1$ MPa, which has

a specific enthalpy of $20$ kJ$/$kg$.$ The Table P$5-14$ in

the right$-$hand column contains some physical properties of the compound. The steady$-$state process

works as follows.

Step $1.50$ kg$/$minute enters the process at T $=250$

K and P $=0\mathrm{.}1$ MPa.

Step $2.$ The feed enters a series of compressors and

heat exchangers, and it leaves the last heat

exchanger at T $=200$ K and P $=10$ MPa.

The TOTAL work added by the compressors is $300$ kilojoules per kilogram of feed.

Step $3.$ The stream leaving step $2$ is cooled to T $=$

$175$ K in a heat exchanger.

Step $4.$ The stream leaving step $3$ enters a flash

chamber where it expands to $0\mathrm{.}1$ MPA and

some of it condenses.

Step $5.$ The vapor from the flash chamber is used

as the coolant for the heat exchanger in

step $3.$

Step $6.$ The vapor stream $($at P $=0\mathrm{.}1$ MPA$)$ from

step $5$ is NOT recycled; it exits the process

as a by$-$product.

A$.$ Find the flow rate of liquid product leaving the

flash chamber.

B$.$ Find the specific enthalpy $($kJ$/$kg$)$ of the vapor

by$-$product described in step $6.$

C$.$ Find the total heat removed by the heat exchangers during step $2,$ in kJ$/$min$.$

D$.$ What is the heat capacity of the compound, in

kJ$/$kg $?$ K$,$ at ideal gas conditions?