Scenario and statement:

A counterflow heat exchanger is used in a chilling process to make $1000kg$ of product A per day. The heat exchanger decreases component A temperature from $40$ to $20C$ using water, at $10C,$ that enters at flow rate of $0\mathrm{.}8\frac{m^3}{h}r.$ The flow rate of component A is $200\frac{L}{m}in.$ Assume that the density and specific heat of component A are $1030k\frac{g}{m^3}$ and $3860\frac{J}{k}g.$ K$,$ respectively.

I. Calculate the area of heat transfer in the exchanger if the overall heat transfer coefficient is $100\frac{W}{m^2}.$ K and the inner pipe diameter is $50mm.$

II$.$ Calculate the length of the exchanger if the diameter of the inner pipe is $60mm$ and the outer pipe is $70mm.$

III. Determine the outlet temperature of water.

IV$.$ Determine the outlet temperature of water if the flow rate of water is reduced to half.

V$.$ Determine the area of heat transfer in the exchanger if parallel flow heat exchanger was used.

VI$.$ Discuss the effects of fluid allocation in the heat exchanger.

VII. Determine the loss of the revenue in $ if the exchanger was shut down for $48$ hours. Assume the value of product $A$ is $$0\mathrm{.}05$ per $kg.$

VIII. What factors affect the pressure drop inside the heat exchanger?

IX$.$ Simulate the heat exchanger in Aspen Plus or Aspen Hysys and compare the results to the calculated values.