Chapter 7, Problem 7.51P

Interpretation Introduction

Interpretation:

To calculate the duty of the exchanger and power required of the compressor

Concept Introduction:

Initial temperature $T_1=(25+273.15)K$

Initial Pressure $P_1=1.2bar$

Pressure of the exchanger $P_2=1.2bar$

Final Temperature at outlet of compressor $T_3=(200+273.15)K$

Saturation Temperature = T_sat Final pressure at outlet of compressor $P_3=5bar$

W_s= Power required of the compressor

$C_{pv}=105\frac{J}{mol.K}$

Q = Heat exchanger Duty

$\Delta H$ = Change in enthalpy

Efficiency of compressor, $\eta =0.75$

$W_S(isentropic)=C_P{T}_1[{(\frac{P_2}{P_1})}^{\frac{R}{C_r}}-1]$

Antoine equation, $T_{sat}=\left(\frac{B}{A-\ln \left(\frac{P_1}{kPa}\right)}-C\right)$

$Q=R\times ICPH(T_1,T_{sat},-0.747,67.96\times {10}^{-3},37.78\times {10}^{-6},0)\mathrm{...}+\Delta H_{lv2}+C_{pv}\times (T_2-T_{sat})$

$\Delta H_{lv2}=\Delta H_{lv}\times {\left(\frac{1-T_{r2}}{1-T_{r1}}\right)}^{0.38}$