Homework solution 10 Spring 2011

Homework solution 10 Spring 2011 - Homework Assignment 10...

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Homework Assignment 10 Due Thursday April 28 by 2:00 You may skip 10.22 parts b and e and 10.23 part e Answers: 10.22 a) 44% 10.23 a) 39% Most of you probably solved these by hand. My solution is done using EES, but the method is the same. I have indicated any differences in solution process between EES and a hand solution in the parentheses {}. {problem 10.22 ideal Rankine cycle} {knowns} Plow=4 Phigh=12000 Qdotin=50000 h1=enthalpy(steam, x=0, P=Plow) {use hf at Plow if doing this by hand} h2=h1+wpump wpump=v1*(Phigh-Plow) v1=volume(steam, x=0, P=Plow) {use vf at Plow if doing this by hand} h3=enthalpy(steam, P=Phigh, x=1) s3=entropy(steam, P=Phigh, x=1) h4=enthalpy(steam, P=Plow, s=s3) {if doing by hand solve for x using s=sf+xsfg and then find h4 using that x} wnet=wturbine-wpump wturbine=h3-h4 qin=h3-h2 thermaleff=wnet/qin power=mdot*wnet
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Qdotin=mdot*qin {this solves for mdot} Variables in Main h1=121.4 h2=133.4 h3=2684 h4=1653 mdot=19.6 kg/s Phigh=12000 Plow=4 power=19981 kW Qdotin=50000 qin=2551 s3=5.492 thermaleff=0.3996 v1=0.001004 wnet=1019 wpump=12.05 {problem 10.23 ideal Rankine cycle} {knowns} Plow=4 Phigh=12000 Qdotin=50000 h1=enthalpy(steam, x=0, P=Plow) {use hf at Plow if doing this by hand} h2=h1+wpump wpump=v1*(Phigh-Plow)/0.90 {note pump efficiency added} v1=volume(steam, x=0, P=Plow)
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Homework solution 10 Spring 2011 - Homework Assignment 10...

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