Calculate the tube surface area required in the heat exchanger and the effectiveness of the heat exchanger.

Question

A shell and tube heat exchanger is to be designed for heating pressurized water by means of hot gasses which get cooled the data are as follows        

Temp of water at the inlet = 80⁰C

Temp of the water t the outlet = 140⁰C

Temp of hot gasses at the inlet = 340⁰C

Temp of hot gasses at the outlet = 180⁰C

Mass flow rate of water = 12 kg/s, Specific heat of water = 4.3 kJ/kgK

OHTC = 30 w/m²K,

Correction factor for LMTD based on counter flow conditions = 0.9

Calculate the tube surface area required in the heat exchanger and the effectiveness of the heat exchanger.