a) 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 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 vaporization of steam at 1250 psia is h f g , specific volume of liquid at 2 psia is h f . Write the expression for the specific entropy of steam at state 4. s 4 = s f + x 4 s f g (IV) Here, specific enthalpy of vaporization of steam at 1250 psia is s f g , specific volume of liquid at 2 psia is s f . Conclusion: Refer to Table A-4E, “Saturated water-Temperature table”, obtain the following properties at the pressure of 2 psia . h f = 94 .2 Btu / lbm h f g = 1021 .7 Btu / lbm v f = 0 .01623 ft 3 / lbm s f = 0 .17499 Btu / lbm ⋅ R s f g = 1 .74444 Btu / lbm ⋅ R From Table A-4E, “Saturated water-Temperature table”, select the enthalpy ( h 1 ) and specific volume ( v 1 ) at the pressure of 2 psia as 94 .02 Btu / lbm and 0.016230 ft 3 / lbm respectively. Substitute 0.016230 ft 3 / lbm for v 1 , 2 psia for P 1 , and 1250 psia for P 2 in Equation (I). w p,in = 0.016230 ft 3 / lbm ( 1250 − 2 ) psia ( 1 Btu 5.404 psia ⋅ ft 3 ) = 3.74 Btu / lbm Substitute 94 .02 Btu / lbm for h 1 , and 3 .74 Btu / lbm for w p,in in Equation (II). h 2 = 94 .02 Btu / lbm + 3 .74 Btu / lbm = 97 .76 Btu / lbm Substitute 94 .02 Btu / lbm for h f , 1021 .7 Btu / lbm for h f g , and 0 b) To determine The rate of heat input to the boiler c) To determine The thermal efficiency of the Rankine cycle

8th Edition

ISBN: 9781307434316

Author: CENGEL

Publisher: INTER MCG

See similar textbooks

Videos

Question

Chapter 10.9, Problem 20P

To determine

The minimum turbine inlet temperature in the Rankine cycle

To determine

The rate of heat input to the boiler

To determine

The thermal efficiency of the Rankine cycle

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 10.9, Problem 19P

Chapter 10.9, Problem 21P

Students have asked these similar questions

Can someone explain please with conversions

Correct Answer is written below. Detailed and complete fbd only please. I will upvote, thank you. 1: The assembly shown is composed of a rigid plank ABC, supported by hinge at A, spring at B and cable at C.The cable is attached to a frictionless pulley at D and rigidly supported at E. The cable is made of steel with E = 200,000MPa and cross-sectional area of 500 mm2. The details of pulley at D is shown. The pulley is supported by a pin, passingthough the pulley and attached to both cheeks. Note that E is directly above B.Given: H = 3 m; L1 = 2 m; L2 = 4 m; w = 12 kN/m; x:y = 3:4Spring Parameters:Wire diameter = 30 mmMean Radius = 90 mmNumber of turns = 12Modulus of Rigidity = 80 GPaAllowable stresses:Allowable shear stress of Pin at D = 85 MPaAllowable normal stress of cheek at D = 90MPaAllowable bearing stress of cheek at D = 110MPa1. Calculate the reaction of spring Band tension in cable at C.2. Calculate the vertical displacementat C and the required diameter ofpin at D.3.…

Correct answer and complete fbd only. I will upvote. The compound shaft, composed of steel,aluminum, and bronze segments, carries the two torquesshown in the figure. If TC = 250 lb-ft, determine the maximumshear stress developed in each material (in ksi). The moduliof rigidity for steel, aluminum, and bronze are 12 x 106 psi, 4x 106 psi, and 6 x 106 psi, respectively

Chapter 10 Solutions

THERMODYNAMICS(SI UNITS,INTL.ED)EBOOK>I

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.