Explanation Given: The inlet temperature is 300 K . The exit temperature is 160 K . The volume of tank is 2 m 3 . The volume of tank contains is 95 % liquid and vapor is 5 % . Concept used: Write the expression for energy balance equation. Q T = m 2 ⋅ u 2 − m 1 ⋅ u 1 + m 0 ⋅ h 0 …… (1) Here, u i is specific internal energy at entry, m 1 is initial mass, h 0 specific enthalpy at exit u 2 specific internal energy at exit, m 2 final mass, Q T is heat transfer through tank and m 0 is mass at exit. From saturated methane table F.7.1 corresponding to 160 K the exiting specific enthalpy is 270.3 kJ / kg From saturated methane table F.7.1 corresponding to 160 K the obtained liquid and vapor specific volume and internal energy: The specific internal energy for liquid is − 160.35 kJ / kg . The specific internal energy for gas is 207 .66 kJ / kg . The specific enthalpy for gas is 0 .03936 m 3 / kg . The specific enthalpy for liquid is 0 .002974 m 3 / kg . Write the expression for mass flow rate. m 2 = V v g …… (2) Here, V is volume of tank and v g is specific volume. Write the expression for initial mass. m 1 = ( 0.95 V v f + 0.05 V v g ) …… (3) Here, V is volume of tank, v f is specific volume of liquid, v g specific volume of gas. Write the expression for exit mass. m o = m 1 − m 2 …… (4) Write the expression for heat transfer through heater. Q H = m o ( h i − h 0 ) …… (5) Here, Q H is heat transfer through heater, h i is inlet specific enthalpy. From saturated methane table F.7.1 corresponding to 160 K the pressure is 1592.8 kPa . From superheated methane table F.7.2 corresponding to 300 K and pressure 1500 kPa the specific enthalpy is 613.82 kJ / kg . From superheated methane table F.7.2 corresponding to 300 K and pressure 2000 kPa the specific enthalpy is 608.85 kJ / kg . Write the expression for inlet specific enthalpy. h i = 613.82 + P − 1500 2000 − 1500 ( 608.85 − 613.82 ) …… (6) Here, P is pressure. Calculation: Substitute 2 m 3 for V and 0

9th Edition

ISBN: 9781119321453

Author: Sonntag

Publisher: JOHN WILEY+SONS,INC.-CONSIGNMENT

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Chapter 4, Problem 4.119P

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The total amount of heat transfer to the tank and to the heater.

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Chapter 4, Problem 4.118P

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