Metallurgical Principles and Practice of Engineering (PE) Study Guide: Question #5

It Is the Policy of The Minerals, Metals & Materials Society (TMS) to Encourage the Professional Registration of Metallurgical Engineers.
A cross flow condensing heat exchanger is utilized to heat the pickling solution in a recirculating loop.

Steam properties:

Enthalpy = 745 kcal/kg
Temperature = 175°C

Solution properties:

Flow = 540 m³/h
Specific heat = 1 kcal/kg.K
Density = 1200 kg/m³

How much heat exchanger area (m²) is needed given the following:

U = 0.7 kcal/sec.m².K	overall heat transfer coefficient
F= 0.8	heat exchanger orientation efficiency factor
T_acidin = 60°C	inlet acid temperature
T_acidout = 65°C	outlet acid temperature
T_steam = 175°C	condensing steam temperature
Q = 2 × 10⁶ kcal/hour	heat load

(A)	5.65
(B)	7.05
(C)	8.35
(D)	8.82

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