Explanation Write the expression for the energy balance equation. E in − E out = Δ E system (I) Here, the total energy entering the system is E in , the total energy leaving the system is E out , and the change in the total energy of the system is Δ E system . Simplify Equation (I) and write energy balance of piston-cylinder device. W e,in − Q out − W b,out = Δ U (II) Here, the electric energy work to be done into the system is W e,in , the heat to be transfer by the system is Q out , the boundary work to be done by the system is W b,out , the change in the internal energy is Δ U . Substitute 0 for W b,out in Equation (III). W e,in = m c p ( T 2 − T 1 ) + Q out (III) Here, the mass of air is m , the specific heat of air is c p , the initial temperature of air is T 1 , and the final temperature of air is T 2 . Determine the average temperature of air. T avg = ( T 1 + T 2 ) 2 (IV) Conclusion: Substitute 25 ° C for T 1 and 77 °C for T 2 in Equation (IV). T avg = ( 25 + 77 ) ° C 2 = 102 ° C 2 = 51 ° C Convert the unit of pressure from degree Celsius to Kelvin. T a v g = 51 ° C = 51 + 273 K = 324 K Refer to Table A-2(b), “Ideal-gas specific heats of various common gases”, obtain the below properties at the average temperature of 51 C (324 K) using interpolation method of two variables. 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 (V) Here, the variables denote by x and y are temperature and specific heat of constant pressure. Show the temperature at 300 K and 350 K as in Table (1). Temperature, K specific heat of constant pressure, kJ / kg ⋅ K 300 K 1.005 324 K ? 350 K 1.008 Calculate specific heat of constant pressure at an average temperature of 60 C (333 K) for liquid phase using interpolation method. Substitute 300 K for x 1 , 324 K for x 2 , 350 K for x 3 , 1

8th Edition

ISBN: 9780073398174

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

Publisher: McGraw-Hill Education

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Chapter 4.5, Problem 71P

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The electric energy supplied in a piston-cylinder device.

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Chapter 4.5, Problem 70P

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Thermodynamics: An Engineering Approach

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