2. \( 50 \mathrm{MMscfd} \) of natural gas consist of \( 75 \% \) methane, \( 15 \% \) ethane, \( 10 \% \) propane at dew point temperature and 700 psia is cooled to \( -10^{\circ} \mathrm{F} \). Assume PK \( =1500 \) psia.

Calculate: a. The dew point temperature at 700 psia. b. The amount of liquid produced at \( 700 \mathrm{psia} \) and \( -10^{\circ} \mathrm{F} \). c. The enthalpy of the mixture at 700 psia and \( -10^{\circ} \mathrm{F} \). d. The amount of propane at ( \( T=-20^{\circ} \mathrm{F} \) and \( 65 \% \) vapor) that used to cool the gas if we use single stage refrigeration cycle. by knowing the chiller duty \( 4 \mathrm{MMbtu} / \mathrm{hr} \). e. The HP (horsepower) and condenser duty for single stage refrigeration cycle by using short cut method.