a) To determine The thermal efficiency of the Rankine cycle Explanation Draw the T-s diagram for the ideal Rankine cycle as shown in Figure (1). Write the expression for the specific work input to the system. w p,in = v 1 ( P 2 − P 1 ) (I) Here, pressure at state 1 is P 1 , pressure at state 2 is P 2 , and specific volume at state 1 is v 1 . Write the expression for the specific enthalpy at state 2. h 2 = h 1 + w p , in (II) Here, specific enthalpy at state 1 is h 1 , and specific enthalpy at state 2 is h 2 . Write the expression for the specific enthalpy at state 4. h 4 = h f + x 4 h f g (III) Here, specific enthalpy of vaporization at 24 ° C is h f g , quality at state 4 is x 4 . Write the expression for the specific entropy at state 4. s 4 = s f + x 4 s f g (IV) Here, specific entropy of vaporization at 24 ° C is s f g , specific entropy at 24 ° C is s f . Write the expression for the specific heat input to the Rankine cycle. q in = h 3 − h 2 (V) Here, specific heat input to the cycle is q in , specific enthalpy at state 3 is h 3 . Write the expression for the specific heat output in the Rankine cycle. q out = h 4 − h 1 (VI) Here, specific heat output of the cycle is q out . Write the expression for the thermal efficiency of the cycle. η th,C = 1 − q out q in (VII) Conclusion: Refer to Table A-11, “Saturated refrigerant-134a-Temperature table”, obtain the following properties at the temperature of 24 ° C . P s a t = P 1 = 646.2 kPa h 1 = h f = 84 .98 kJ / kg ν 1 = ν f = 0.000826 m 3 / kg Substitute 0.000826 m 3 / kg for v 1 , 646.2 kPa for P 1 , and 2 , 000 kPa for P 2 in Equation (1). w p,in = 0.000826 m 3 / kg ( 2 , 000 − 646.2 ) kPa ( 1 kJ 1 kPa ⋅ m 3 ) = 1.118 kJ / kg Substitute 84.98 kJ / kg for h 1 , and 1.118 kJ / kg for w p,in in Equation (II). h 2 = 84 .98 kJ / kg + 1.118 kJ / kg = 86.09 kJ / kg Refer to saturated steam tables, and interpret the value of h f g for a temperature of 24 ° C as 178 b) To determine The net work output of the Rankin cycle

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Chapter 10.9, Problem 13P

To determine

The thermal efficiency of the Rankine cycle

To determine

The net work output of the Rankin cycle

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Chapter 10.9, Problem 12P

Chapter 10.9, Problem 14P

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EBK THERMODYNAMICS: AN ENGINEERING APPR

Ch. 10.9 - Why is the Carnot cycle not a realistic model for...Ch. 10.9 - Prob. 2P Ch. 10.9 - A steady-flow Carnot cycle uses water as the...Ch. 10.9 - A steady-flow Carnot cycle uses water as the...Ch. 10.9 - Consider a steady-flow Carnot cycle with water as...Ch. 10.9 - Consider a simple ideal Rankine cycle with fixed...Ch. 10.9 - Consider a simple ideal Rankine cycle with fixed...Ch. 10.9 - Consider a simple ideal Rankine cycle with fixed...Ch. 10.9 - How do actual vapor power cycles differ from...Ch. 10.9 - The entropy of steam increases in actual steam...

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