# Example 12.1 MFCO2 = 0.12 MFO2 = 0.04 MFN2 = 0.82 MFCO = 0.02 MWCO2 = 44 kg/kmol MWO2 = 32 kg/kmol MWN2 = 28 kg/kmol MWCO = 28 kg/kmol mCO2 = MFCO2 * MWCO2 ; kg/kmol mO2 = MFO2 * MWO2 ; kg/kmol mN2 = MFN2 * MWN2 ; kg/kmol mCO = MFCO * MWCO ; kg/kmol m0 = mCO2 + mO2 + mN2 + mCO ; kg/kmol mfCO2 = mCO2 / m0 mfO2 = mO2 / m0 mfN2 = mN2 / m0 mfCO = mCO / m0 # Example 12.2 PA = 1.00 kPa mA0 = 1.00 kg RA = 0.2870 kJ/kg degK PB = 0.50 kPa mB = 0.50 kg RB = 0.2870 kJ/kg degK P = 2.00 kPa yA = PA / P yB = PB / P DSmix = -mA0 * RA * ln(yA) - mB * RB * ln(yB) DSmix / 1 kg; kJ/kg/degK # Example 12.3 V0 = 100.00 m^3 P = 0.10 Mpa T0 = 35.00 degC f = 0.70 Pg = 5.63 kPa Pv = f * Pg ; kPa Tg = 28.60 degC Pa0 = P - Pv ; kPa MN0 = 0.62 w = MN0 * Pv / Pa0 R = 0.2870 kJ/kg degK ma = Pa0 * V0 / R / T0 ; kg mv = w * ma ; kg # Example 12.3E V0 = 2000.00 ft^3 P = 14.70 psi T0 = 90.00 degF f = 0.70 Pg = 0.70 psi Pv = f * Pg ; psi Tg = 28.60 degC Pa0 = P - Pv ; psi MN0 = 0.62 w = MN0 * Pv / Pa0 R = 0.2870 kJ/kg degK ma = Pa0 * V0 / R / T0 ;lbm mv = w * ma ; lbm # Example 12.4 MN0 = 0.622 P = 0.10 Mpa Pg2 = 0.87 kPa Pv2 = Pg2 Pa2 = P - Pv2 ; kPa w2 = MN0 * Pv2 / Pa2 w1 = 0.0255 ma = 108.6176 kg mvap = ma * (w1 - w2) ; kg # Example 12.4E MN0 = 0.622 P = 14.70 psi Pg2 = 0.12 psi Pv2 = Pg2 Pa2 = P - Pv2 ; psi w2 = MN0 * Pv2 / Pa2 w1 = 0.0214 ma = 139.5843 lbm mvap = ma * (w1 - w2) ; lbm # Example 12.5 f1 = 0.80 Pg1 = 4.25 kPa Pv1 = f1 * Pg1 ; kPa P1 = 105.00 kPa Pa1 = P1 - Pv1 ; kPa MN0 = 0.622 w1 = MN0 * Pv1 / Pa1 f2 = 0.95 Pg2 = 1.71 kPa Pv2 = f2 * Pg2 ; kPa P2 = 100.00 kPa Pa2 = P2 - Pv2 ; kPa w2 = MN0 * Pv2 / Pa2 Cp = 1.004 kJ/kg/degK T1 = 30.000 degC T2 = 15.000 degC ha2 = Cp * (T2 - T1) ; kJ/kg hv1 = 2556.300 kJ/kg hv2 = 2528.900 kJ/kg hL2 = 62.990 kJ/kg Qdot_over_mdot = ha2 + w2 * hv2 - w1 * hv1 \ - (w2 - w1) * hL2 ; kJ/kg # Example 12.6 V0 = 0.50 m^3 T1 = 50.0 degC P1 = 2.00 Mpa Pw = 5.00 kPa T2 = 10.0 degC PN = 1995.00 kPa RN = 0.2968 kJ/kg degK mN = PN * V0 / RN / T1 ; kg Rw = 0.4615 kJ/kg degK mw = Pw * V0 / Rw / T1 ; kg Pw2 = 1.23 kPa mw2 = Pw2 * V0 / Rw / T2 ; kg mL2 = mw - mw2 ; kg uw = 2443.50 kJ/kg uw2 = 2389.20 kJ/kg uL2 = 42.00 kJ/kg Cv = 0.745 kJ/kg/degK Q = mN * Cv * (T2 - T1) + mw2 * uw2 + mL2 * uL2 - mw * uw ; kJ # Example 12.7 MN0 = 0.622 Pv2 = 2.339 kPa P2 = 100.00 kPa Pa2 = P2 - Pv2 ; kPa w2 = MN0 * Pv2 / Pa2 Cp = 1.004 kJ/kg/degK T1 = 30.0 degC T2 = 20.0 degC hfg = 2454.100 kJ/kg hv1 = 2556.300 kJ/kg hv2 = 83.960 kJ/kg w1 = (Cp * (T2 - T1) + w2 * hfg) / (hv1 - hv2) Pv1 = w1* P2 / (MN0 - w1) ; kPa Pg1 = 4.25 kPa f1 = Pv1 / Pg1 # Example 12.7E MN0 = 0.622 Pv2 = 0.363 psi P2 = 14.70 psi Pa2 = P2 - Pv2 ; psi w2 = MN0 * Pv2 / Pa2 Cp = 0.240 Btu/lbm/degF T1 = 84.0 degF T2 = 70.0 degF hfg = 1054.000 Btu/lbm hv1 = 1098.100 Btu/lbm hv2 = 38.100 Btu/lbm w1 = (Cp * (T2 - T1) + w2 * hfg) / (hv1 - hv2) Pv1 = w1 * P2 / (MN0 - w1) ; psi Pg1 = 0.58 psi f1 = Pv1 / Pg1 # Homework Problems: TBD