Answer to Question #332800 in Molecular Physics | Thermodynamics for Wrya shwani

Question

Oxygen, O2, at 200 bar is to be stored in a steel vessel at 20oC the capacity of the vessel

is 0.04m3

. Assuming that O2 is a perfect gas, calculate the mass of oxygen that can be

stored in the vessel. The vessel is protected against excessive pressure by a fusible plug

which will melt if the temperature rises too high. At what temperature must the plug

melt to limit the pressure in the vessel to 240bar? The molecular weight of oxygen is 32

(10.5 kg; 78.6oC)

Answer 1

1.

$m=\frac{MpV}{RT}=10.5~kg,$

2.

$T_2=T_1\frac{p_2}{p_1}=352~K=79°C.$