Explanation Given: The volume of tank is 30 ft 3 . Initial temperature of R-410Ais 20 F . Quality of R-410Ais 20 % . Final Quality of R-410Ais 0.5 . Concept used: Write the expression for specific volume of R-410A in tank initially. v 1 = v f + x 1 v f g ..... (1) Here, v 1 is the specific volume of R-410A in tank initially, v f is the specific volume of R-410A as saturated liquid, x 1 is the quality of R-410A in tank initially and v f g is the specific volume of evaporation of R-410A. Write the expression for initial mass inside the tank. m 1 = V v 1 ..... (2) Here, m 1 is the initial mass inside the tank and V is the volume of tank. Write the expression for final specific volume of R-410A in tank. v 2 = v f + x 2 v f g ..... (3) Here, v 2 is the final specific volume of R-410A in tank and x 2 is the final quality of R-410A in tank. Write the expression for final mass inside the tank. m 2 = V v 2 ..... (4) Here, m 2 is the final mass inside the tank. Write the expression for the mass withdrawn of R-410A from tank. m 3 = m 1 − m 2 ..... (5) Here, m 3 is the mass withdrawn of R-410A from tank. Write the expression for heat transfer. q = m 2 h 2 + m 3 h 3 − m 1 h 1 ..... (6) Here, q is the heat transfer, h 2 is the specific enthalpy of R-410A in final state, h 3 is the specific enthalpy of saturated vapor R-410A and h 1 is the initial specific enthalpy of R-410A. Calculation: Refer to Table F.9.1 “Properties of Saturated R-410A” to obtain the specific volume of saturated liquid R-410Aas 0.01339 ft 3 /lbm , specific volume if evaporation as 0.6382 ft 3 /lbm , Specific enthalpy of liquid R-410A as 20.52 Btu/lbm , specific enthalpy of evaporation as 98.55 Btu/lbm and specific enthalpy of saturated vapor as 119.07 Btu/lbm at 20 F . Substitute 0.01339 ft 3 /lbm for v f , 0.2 for x 1 and 0.6382 ft 3 /lbm for v f g in equation (1). v 1 = 0.01339 + 0.2 ( 0.6382 ) = 0.14103 ft 3 /lbm Similarly calculate the initial specific enthalpy as follows: h 1 = 20

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ISBN: 9781119321453

Author: Sonntag

Publisher: JOHN WILEY+SONS,INC.-CONSIGNMENT

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Chapter 4, Problem 4.164EP

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Mass withdrawn from tank and the heat transfer.

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