Calculate the heat duty and the water flow rate for the given hot oil parameters.

2 and 2.3:

2.2. Calculate the heat duty and the water flow rate.

The heat duty ($Q$) is calculated from the hot oil side.
Given:

• Hot oil flow rate ($\dot{m}_h$): $22,500 \text{ kg/h}$
• Hot oil inlet temperature ($T_{h,in}$): $200 \text{ °C}$
• Hot oil outlet temperature ($T_{h,out}$): $40 \text{ °C}$

From the "Gas Oil, From Kern (1950)" table, the specific heat capacity ($C_{p