Explanation Write the expression for the energy balance equation for closed system. E i n − E o u t = Δ E s y s t e m (I) Here, net energy transfer in to the control volume is E i n , net energy transfer exit from the control volume is E o u t and change in internal energy of system is Δ E s y s t e m . Write the expression for the change in internal energy of the closed system. Δ U = m ( u 2 − u 1 ) (II). Here, final internal energy is u 2 and initial internal energy is u 1 . 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 (III) Here, the variables denoted by x and y are entropy and enthalpy. Conclusion: Refer Table A-6, “Superheated water”, for the pressure of 70 kPa and temperature of 100 ° C to obtain the following properties using interpolation method. Pressure, KPa Entropy kJ / kg ⋅ K Internal energy kJ / kg 50 7.6501 2511.5 70 ? 100 7.3611 2506.2 Substitute 50 kPa for x 1 , 70 kPa for x 2 , 100 kPa for x 3 , 7.6501 kJ / kg ⋅ K for y 1 , and 7.3611 kJ / kg for y 3 in Equation (III). y 2 = ( 70 − 50 ) ( 7.3611 − 7.6501 ) ( 100 − 50 ) + 7.6501 = 7.5344 kJ / kg ⋅ K Substitute 50 kPa for x 1 , 70 kPa for x 2 , 100 kPa for x 3 , 2511.5 kJ / kg for y 1 , and 2506.2 kJ / kg for y 3 in Equation (III). y 2 = ( 70 − 50 ) ( 2506.2 − 2511.5 ) ( 100 − 50 ) + 2511.5 = 2509.4 kJ / kg ⋅ K Refer Table A-6, “Superheated water”, for the pressure of 4 MPa and entropy of 7.5616 kJ / kg to obtain the following properties using interpolation method. Entropy kJ / kg ⋅ K Temperature, ° C Internal energy kJ / kg 7

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It is generally related to thermal engineering which tells about the use, creation, conversion and transfer of heat energy between the systems. It is also considered that to transfer heat from one source to another, transfer of masses is also required. T…

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Chapter 7.13, Problem 50P

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