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

8th Edition

ISBN: 9780073398174

Author: Yunus A. Cengel Dr., Michael A. Boles

Publisher: McGraw-Hill Education

See similar textbooks

Videos

Question

Chapter 10.9, Problem 13P

To determine

The thermal efficiency of the Rankine cycle

To determine

The net work output of the Rankin cycle

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 10.9, Problem 12P

Chapter 10.9, Problem 14P

Students have asked these similar questions

on-the-job conditions. 9 ±0.2- 0.5 M Application questions 1-7 refer to the drawing above. 1. What does the flatness tolerance labeled "G" apply to? Surface F A. B. Surfaces E and F C. Surfaces D, E, H, and I D. The derived median plane of 12 +0.2 0.5 0.5 CF) 20 ±0.2 0.1 7. O 12 ±0.2- H 0.3 ASME Y14.5-2009

elements, each with a length of 1 m. Determine the temperature on node 1, 2, 3, 4. 3. Solve the strong form analytically (you may choose Maple, MATLAB or Mathematica to help you solve this ODE). Compare the FE approximate temperature distribution through the block against the analytical solution. 1 (1) 200 °C 2 (2) 3 m 3 (3)

Compute the horizontal and vertical components of the reaction at the pin A. B A 30° 0.75 m 1 m 60 N 0.5 m 90 N-m

Chapter 10 Solutions

Thermodynamics: An Engineering Approach

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.