Explanation Write the expression for the mass balance. m i n − m o u t = Δ m Here, mass of the water entering into the system is m i n , mass of water leaving out of the system is m o u t and change in mass is Δ m . Rewrite the mass balance equation for the mixing in chamber. m ˙ 1 + m ˙ 2 = m ˙ 3 (I) Here, mass flow rate of liquid water entering into the chamber is m ˙ 1 , mass flow rate of superheated steam entering into the chamber is m ˙ 2 and mass flow rate of water leaving out the chamber is m ˙ 3 . Write the energy rate balance equation for a control volume. E ˙ in − E ˙ out = d E ˙ system / d t = 0 ( For steady state ) Here, total energy rate at inlet is E ˙ in , total energy rate at outlet is E ˙ out and change in net energy rate is d E ˙ system / d t . Rewrite the energy balance Equation for the mixing of water in chamber neglecting the potential and kinetic energies. E ˙ in = E ˙ out m ˙ 1 h 1 + m ˙ 2 h 2 = m ˙ 3 h 3 (II) Here, specific enthalpy of liquid water entering into the chamber is h 1 , the specific enthalpy of the superheated steam entering into the chamber is h 2 and specific enthalpy of water leaving out of chamber is h 3 . Write the formula to calculate the specific enthalpy of water ( h ) . h = h f + x ( h g − h f ) (III) Here, specific enthalpy of saturated liquid is h f , specific enthalpy of saturated vapor is h g and dryness fraction of water is x . Conclusion: Refer Table A-4E, “Saturated water - Temperature”, obtain the specific enthalpy ( h 1 ) of liquid water at temperature ( T 1 ) of 65 ° F . h 1 = h f = 33 .08 Btu / lbm . From the Table A-5E, “Saturated water - Pressure”, obtain the specific enthalpy ( h 2 ) of saturated vapor water entering into mixing chamber at pressure ( P 2 ) of 20 psia . h 2 = h g = 1156 .2 Btu / lbm . Rewrite the energy balance Equation (II). m ˙ 1 h 1 + m ˙ 2 h 2 = m ˙ 3 h 3 Substitute Equation (I) for m ˙ 3

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ISBN: 9781307434316

Author: CENGEL

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Basic Thermodynamic Processes

The word 'thermodynamics' can be divided into two words, 'thermo' and 'dynamics'. The word thermo deals with the heat and thermal phenomenon, whereas dynamics deals with forces or external agent that drives the heat flow or aids in the motion of heat.

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Chapter 5.5, Problem 73P

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The temperature of the exiting stream and the quality of exiting stream.

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