A fine chemical operation requires that 1400 L (1.4 m 3 ) of a waterlike material be cooled from T 1i = 80 ◦C to T1 = 50 ◦C before it can be further processed. There are two jacketed dished head...

A fine chemical operation requires that 1400 L (1.4 m³) of a waterlike material be cooled from T_1i
= 80 ◦C to T1 = 50 ◦C before it can be further processed. There are two jacketed dished head pressure vessels available [Figure 3.1(a)]. The process fluid can be cooled by placing it in one of the vessels with a charge of chilled water in the jacket available at T_2i
= 5 ◦C.

Vessel A has a jacket volume of 1.4 m³
and Vessel B has a jacket volume of 0.5 m³. We need to determine which vessel or vessels can be used and what final utility water temperature T₂
will be reached. The warm utility water must be returned to the chilled water unit. Both liquids can be assumed to have the density and heat capacity of water.