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Problem 1: a. An incoming stream of 1500 lbmol/min consists of saturated water with 62% liquid...

Problem 1:

a. An incoming stream of 1500 lbmol/min consists of saturated water with 62% liquid water and 28% steam at 40 bar. This stream is heated at constant pressure to 700ºC. Using the steam tables, what is the heat transfer requirement for this step in kW?

b. This steam is then compressed isothermally to steam at 150 bar in a second step. What is the heat transfer requirement for this step in kW?

Solutions

Expert Solution

M.W. 18.02 gm/mol
Stream Rate: 1500 lbmol/min = 680.39 kgmol = 12260616 kg
Saturated Water: 62%
Steam: 28% it is wrongly mentioned as 28%must be 38%
Steam: 38% so i'm considering it 38%.
Total: 100%
Pressure: 40 bar
From steam table @ 40 bar properties are as following:
Saturated Steam Temperature: 251.854 ⁰C
Latent Heat of Steam: 1705.71 kJ/kg
Specific Enthalpy of Saturated Steam: 2800.39 kJ/kg
Specific Enthalpy of Saturated Water: 1094.68 kJ/kg
Specific Volume of Saturated Steam: 0.0485097 m3/kg
Specific Volume of Saturated Water: 0.0012561 m3/kg
Initial Temperature of stream: 251.9 ⁰C
Final temperature: 700 ⁰C
Latent Heat: 1705.71 kJ/kg
a. Heat required to raise temperarue
upto 700 degC from 251.9 degC: m*Latent heatwater + mwaterCpwater∆T + msteamCp∆T
= 9.589E+12 kJ
kW = kj/time(sec)
= 1.598E+11 kw
Ans:

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