100 mol/hr pentane flows through an adiabatic heat exchanger where it is heated isobarically (at 2.5 bar) from 50°C to 250°C. The pentane is heated by contacting pipes filled with superheated steam (350°C, 5 bar) that is cooled to saturated liquid (still at 5 bar). For simplicity, you may use only the first two terms of the heat capacity (a+bT) instead of the entire formula.
a. Draw and label a process flow diagram, including heat flow Q. An adiabatic heat exchanger does not exchange heat with the surroundings (it is well insulated). Heat is only transferred between the steam and the pentane, even though these two species do not directly contact each other.
b. Find the molar flow rate of steam by performing an energy balance on the whole system (pentane and water).
c. Use an individual "system" energy balance (either on the water or on the pentane) to calculate the amount of heat transferred between the pentane and water.