To determine The inlet temperature of the each turbine and the thermal efficiency of the cycle Explanation Draw the T-s diagram of the ideal reheat 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 of steam at state 1 is v 1 . Write the expression for the enthalpy of steam at state 2. h 2 = h 1 + w p , in (II) Here, specific enthalpy of steam at state 1 is h 1 , and specific enthalpy of steam at state 2 is h 2 . Write the expression for the specific enthalpy of steam at state 4. h 4 = h f + x 4 h f g (III) Here, specific enthalpy of steam at 1 , 200 kPa is h f , and specific enthalpy of vaporization at 1 , 200 kPa is h f g . Write the expression for the specific entropy of steam at state 4. s 4 = s f + x 4 s f g (IV) Here, specific entropy of steam at 1 , 200 kPa is s f , and specific entropy of vaporization at 1 , 200 kPa is s f g . Write the expression for the specific enthalpy of steam at state 6. h 6 = h f + x 6 h f g (V) Here, specific enthalpy of steam at 20 kPa is h f , and specific enthalpy of vaporization at 20 kPa is h f g . Write the expression for the specific entropy of steam at state 6. s 6 = s f + x 6 s f g (VI) Here, specific entropy of steam at 20 kPa is s f , and specific entropy of vaporization at 20 kPa is s f g . Write the expression for the specific heat input in the reheat Rankine cycle. q in = ( h 3 − h 2 ) + ( h 5 − h 4 ) (VII) Here, specific heat input to the cycle is q in . Write the expression for the specific heat output in the Rankine cycle. q out = h 6 − h 1 (VIII) Here, specific heat output of the cycle is q out . Write the expression for the thermal efficiency of the cycle. η th = 1 − q out q in (IX) Conclusion: Refer to Table A-5, “Saturated water-Pressure table”, obtain the following properties at the pressure of 20 kPa . h 1 = 251 .42 kJ / kg v 1 = 0.0010172 m 3 / kg Substitute 0.00101 m 3 / kg for v 1 , 20 kPa for P 1 , and 5 , 000 kPa for P 2 in Equation (I). w p,in = 0.0010172 m 3 / kg ( 5 , 000 − 20 ) kPa ( 1 kJ 1 kPa ⋅ m 3 ) = 5.065 kJ / kg Substitute 251 .42 kJ / kg for h 1 , and 5.065 kJ / kg for w p,in in Equation (II). h 2 = 251 .42 kJ / kg + 5.065 kJ / kg = 256.48 kJ / kg Refer to Table A-5, “Saturated water-Pressure table”, obtain the following properties at the pressure of 1200 kPa . h f 4 = 798 .33 kJ / kg h f g 4 = 1985 .4 kJ / kg s f 4 = 2 .2159 kJ / kg ⋅ K s f g 4 = 4 .3058 kJ / kg ⋅ K Substitute 798.33 kJ / kg for h f , 1985.4 kJ / kg for h f g , and 0.96 for x 4 in Equation (III). h 4 = 798.33 kJ / kg + 0.96 ( 1 , 985.4 kJ / kg ) = 2 , 704.3 kJ / kg Substitute 2.2159 kJ / kg ⋅ K for s f , 4.3058 kJ / kg ⋅ K for s f g , and 0

8th Edition

ISBN: 9780100257054

Author: CENGEL

Publisher: YUZU

See similar textbooks

Videos

Question

Chapter 10.9, Problem 34P

To determine

The inlet temperature of the each turbine and the thermal efficiency of the cycle

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 10.9, Problem 33P

Chapter 10.9, Problem 35P

Students have asked these similar questions

A transformer that is 10 cm long, 6.2 cm wide, and 5 cm high is to be cooled by attaching a 10 cm by 6.2 cm wide polished aluminum heat sink(emissivity=.03) to its top surface. The heat sink has seven fins, which are 5 mm high, 2mm thick, and 10 cm long. A fan blows air at 25 degrees C parallel to the passages between the fins. The heat sink is to dissipate 12W of heat, and the base temp of the ehat sink is not to exceed 60 degrees C. Assuming the fins and the base plate to be nearly isothermal and the radiation heat transfer to be negligible, determine the minimum free-stream velocity the fan needs to supply to avoid overheating. Assume the flow is laminar over the entire finned surface of the transformer.

I need a mechanical engineering expert to solve this question,no Ai please

Can you give me the meaning of Combination spanner and Give Examples of Spanners

Chapter 10 Solutions

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...

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.