// Given:- EfFdot = 100.00 // exergy rate of fuel entering the boiler in MW cF = 1.44 // unit cost of fuel in cents per kw.h Zbdot = 1080.00 // the cost of owning and operating boiler in dollars per hour Ef1dot = 35.00 // exergy rate of exiting steam from the boiler in MW p1 = 50.00 // pressure of exiting steam from the boiler in bar T1 = 466.00 // temperature of exiting steam from the boiler in degree celcius Ztdot = 92.00 // the cost of owning and operating turbine in dollars per hour p2 = 5.00 // pressure of exiting steam from the turbine in bars T2 = 205.00 // temperature of exiting steam from the turbine in degree celcius m2dot = 26.15 // mass flow rate of exiting steam from the turbine in kg/s T0 = 298.00 // in kelvin // Part(a) // From table A-4, h1 = 3353.54 // in kj/kg h2 = 2865.96 // in kj/kg s1 = 6.8773 // in kj/kg.k s2 = 7.0806 // in kj/kg.k // Calculations // From assumption,For each control volume,Qcvdot = 0 and kinetic and potential energy effects are negligible,the mass and energy rate // balances for a control volume enclosing the turbine reduce at steady state to give Wedot = m2dot *(h1-h2)/1000 // power in MW Ef2dot = Ef1dot+m2dot*(h2-h1-T0*(s2-s1))/1000 // the rate exergy exits with the steam in MW // Results printf( ' For the turbine,the power is %.2f MW.',Wedot) printf( ' For the turbine,the rate exergy exits with the steam is %.2f MW.',Ef2dot) // Part(b) // Calculations c1 = cF*(EfFdot/Ef1dot) + ((Zbdot/Ef1dot)/10**3)*100 // unit cost of exiting steam from boiler in cents/Kw.h c2 = c1 // Assigning the same unit cost to the steam entering and exiting the turbine ce = c1*((Ef1dot-Ef2dot)/Wedot) + ((Ztdot/Wedot)/10**3)*100 // unit cost of power in cents/kw.h // Results printf('The unit costs of the steam exiting the boiler of exergy is: %.2f cents per kw.h.',c1) printf('The unit costs of the steam exiting the turbine of exergy is: %.2f cents per kw.h.',c2) printf('Unit cost of power is: %f cents per kw.h.',ce) // Part(c) C2dot = (c2*Ef2dot*10**3)/100 // cost rate for low-pressure steam in dollars per hour Cedot = (ce*Wedot*10**3)/100 // cost rate for power in dollars per hour // Results printf( ' The cost rate of the steam exiting the turbine is: %.2f dollars per hour.',C2dot) printf( ' The cost rate of the power is: %.2f dollars per hour.',Cedot)