$50MM$ Mscfd of natural gas consist of $75\%$ methane, $15\%$ ethane, $10\%$ propane at dew point temperature and $700$ psia is cooled to $-10F.$ Assume $PK=1500$ psia.

Calculate:

a$.$ The dew point temperature at $700$ psia.

b$.$ The amount of liquid produced at $700$ psia and $-10F=$

c$.$ The enthalpy of the mixture at $700a$ and $-10F.$

Two phase

d$.$ The amount of propane at $(T=-20F$ and $65\%$ vapor$)$ that used to cool the gas if we use single stage refrigeration cycle. by knowing the chiller duty $4MMbt\frac{u}{h}r.$

e$.$ The HP $($horsepower$)$ and condenser duty for single stage refrigeration cycle by using short cut method.