(a) Explanation Express the mass flow rate of the steam. m ˙ = 1 v 2 A 2 V 2 (I) Here, final specific volume is v 2 , exit area of diffuser is A 2 and exit velocity is V 2 . Conclusion: Perform unit conversion of initial pressure from kPa to MPa . P 1 = 10 kPa = ( 10 kPa ) MPa 1000 kPa = 0.01 MPa Refer Table A-6, “superheated water”, and write the initial specific enthalpy corresponding to initial pressure ( P 1 ) of 0 .01 kPa and initial temperature ( T 1 ) of 60°C using interpolation method. Write the formula of interpolation method of two variables. y 2 = ( x 2 − x 1 ) ( y 3 − y 1 ) ( x 3 − x 1 ) + y 1 (II) Here, the variables denote by x and y is temperature and initial specific enthalpy respectively. Show the initial specific enthalpy corresponding to temperature as in Table (1). Temperature ( °C ) Initial specific enthalpy h 1 ( kJ / kg ) 50 ( x 1 ) 2592 ( y 1 ) 60 ( x 2 ) ( y 2 = ? ) 100 ( x 3 ) 2687.5 ( y 3 ) Substitute 50 ° C 60 ° C and 10 0 ° C for x 1 , x 2 and x 3 respectively, 2592 kJ / kg for y 1 and 2687.5 kJ / kg for y 3 in Equation (II). y 2 = ( 60 − 50 ) °C ( 2687.5 − 2592 ) kJ / kg ( 100 − 50 ) °C + 2592 kJ / kg = 2611.2 kJ / kg = h 1 Show the initial specific enthalpy corresponding to temperature as in Table (1). Temperature ( °C ) Initial specific entropy h 1 ( kJ / kg ⋅ K ) 50 ( x 1 ) 8 (b) To determine The wasted work potential during the process.

8th Edition

ISBN: 9780073398174

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

Publisher: McGraw-Hill Education

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Chapter 8.8, Problem 55P

(a)

To determine

The mass flow rate of the steam.

(b)

To determine

The wasted work potential during the process.

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Chapter 8.8, Problem 53P

Chapter 8.8, Problem 56P

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The mass flow rate of the steam.

Solution Summary: The author explains the mass flow rate of the steam, the final specific volume, exit area of diffuser, and exit velocity.

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