An aluminium bottle weighs 10 kgs when empty and has an internal volume of 20 li

Question

An aluminium bottle weighs 10 kgs when empty and has an internal volume of 20 liters. It is filled with 5 kgs of propane ( C3H8) at 24 C. The aluminum bottle is rated for a maximum pressure of 35 bar at which point a relief valve is opened.
a) What are the initial pressur, quality, and internal energy?
b) What temperature will the bottle reach at maximum pressure as it is heated? What is the quality at this maximum pressure state?
c) The relief valve remaims opened until the pressure falls back to 14 bar. If the mas of propane remaining in the bottle is tenth of its original value, what is the temperature of propane upon shutting of the relief valve?

Explanation / Answer

PV=nRT= m(R/M)T,

Where:

mass(kg): m = 5 kg

Universal gas constant: R = 8.314 J-K/mol

Temperature(deg.K): T = 24+273 = 297

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