A steel tank contains air at a pressure of 15 bar at 20°C. The tank is provided with a safety valve which can withstand a pressure of 35 bar. Calculate the temperature to which the tank can be safely heated
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Solution
We know PV = nRT
When we heat the gas inside a steel tank only temperature and pressure will change,volume and number of mole of gas will remain constant.
Volume of gas = Volume of steel tank
Apply gas equation formula
P1 = 15 bar And T1 = 20°C = 293K
P1V = nRT1
P2 = 35 bar and T2 we have to find
P2V = nRT2
P1/T1 = P2/T2 = nR/V
15/293 = 35/T2
T2 = 683.67K = 410.67°C
So up to temperature 410.67°C we can safely heat the tank