Question 4 - Section B: A high pressure, high temperature (HPHT) hot water system has a total contained water volume of 5.2 m³. This sealed hot water system receives cold water at 20 °C and heats the cold water to its working temperature of 145 °C. The initial fill pressure of the system is 1.8 bar (gauge) and the working pressure of this system is 7.0 bar (gauge). The specific volumes of saturated water at 20 °C and at 145 °C are 0.10018×10-2 m³/kg and 0.1085x10°² m³/kg, respectively. Average density of water is 1000 kg/m³, atmospheric pressure is 1.013 bar, polytropic index of nitrogen compression is 1.242 and the specific gas constant, R for nitrogen is 296 J/kg.K. Determine: (iv) the expansion volume of water due to the temperature rise. (v) the volume of the expansion vessel required. (vi) the mass of nitrogen gas charge needed to obtain the expected fill pressure of 1.6 bar (gauge).

Elements Of Electromagnetics
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Question 4 - Section B:
A high pressure, high temperature (HPHT) hot water system has a total contained water volume of
5.2 m³. This sealed hot water system receives cold water at 20 °C and heats the cold water to its
working temperature of 145 °C. The initial fill pressure of the system is 1.8 bar (gauge) and the
working pressure of this system is 7.0 bar (gauge). The specific volumes of saturated water at
20 °C and at 145 °C are 0.10018×10-2 m³/kg and 0.1085x10°² m³/kg, respectively. Average density
of water is 1000 kg/m³, atmospheric pressure is 1.013 bar, polytropic index of nitrogen
compression is 1.242 and the specific gas constant, R for nitrogen is 296 J/kg.K.
Determine:
(iv) the expansion volume of water due to the temperature rise.
(v) the volume of the expansion vessel required.
(vi) the mass of nitrogen gas charge needed to obtain the expected fill pressure of 1.6 bar (gauge).
Transcribed Image Text:Question 4 - Section B: A high pressure, high temperature (HPHT) hot water system has a total contained water volume of 5.2 m³. This sealed hot water system receives cold water at 20 °C and heats the cold water to its working temperature of 145 °C. The initial fill pressure of the system is 1.8 bar (gauge) and the working pressure of this system is 7.0 bar (gauge). The specific volumes of saturated water at 20 °C and at 145 °C are 0.10018×10-2 m³/kg and 0.1085x10°² m³/kg, respectively. Average density of water is 1000 kg/m³, atmospheric pressure is 1.013 bar, polytropic index of nitrogen compression is 1.242 and the specific gas constant, R for nitrogen is 296 J/kg.K. Determine: (iv) the expansion volume of water due to the temperature rise. (v) the volume of the expansion vessel required. (vi) the mass of nitrogen gas charge needed to obtain the expected fill pressure of 1.6 bar (gauge).
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