Liquid nitrogen is stored in 0.5-m3 metal tanks that are thoroughly insulated. Consider the process of filling an evacuated tank, initially at 295 K. It is attached to a line containing liquid nitrogen at its normal boiling point of 77.3 K and at a pressure of several bars. At this condition, its enthalpy is -120.8 kJ kg-1. When a valve in the line is opened, the nitrogen flowing into the tank at first evaporates in the process of cooling the tank. If the tank has a mass of 30 kg and the metal has a specific heat capacity of 0.43 kJ kg-1 K-1, what mass of nitrogen must flow into the tank just to cool it to a temperature such that liquid nitrogen begins to accumulate in the tank? Assume that the nitrogen and the tank are always at the same temperature. The properties of saturated nitrogen vapor at several temperatures are given as follows:

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Liquid nitrogen is stored in 0.5-m3 metal tanks that are thoroughly insulated. Consider the process of filling an evacuated tank, initially at 295 K. It is attached to a line containing liquid nitrogen at its normal boiling point of 77.3 K and at a pressure of several bars. At this condition, its enthalpy is -120.8 kJ kg-1. When a valve in the line is opened, the nitrogen flowing into the tank at first evaporates in the process of cooling the tank. If the tank has a mass of 30 kg and the metal has a specific heat capacity of
0.43 kJ kg-1 K-1, what mass of nitrogen must flow into the tank just to cool it to a temperature such that liquid nitrogen begins to accumulate in the tank? Assume that the nitrogen and the tank are always at the same temperature. The properties of saturated nitrogen vapor at several temperatures are given as follows:

TIK
P/bar
V'/m³ kg-1
H'/kJ kg!
80
1.396
0.1640
78.9
85
2.287
0.1017
82.3
90
3.600
0.066 28
85.0
95
5.398
0.044 87
86.8
100
7.775
0.031 26
87.7
105
10.83
0.022 23
87.4
110
14.67
0.015 98
85.6
Transcribed Image Text:TIK P/bar V'/m³ kg-1 H'/kJ kg! 80 1.396 0.1640 78.9 85 2.287 0.1017 82.3 90 3.600 0.066 28 85.0 95 5.398 0.044 87 86.8 100 7.775 0.031 26 87.7 105 10.83 0.022 23 87.4 110 14.67 0.015 98 85.6
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