A cylinder containing cooking gas can withstand a pressure of 15 atm. The pressure gauge of the cylinder indicates 12 atm at 27∘C. Due to a sudden fire in the building, the temperature starts rising. At what temperature will the cylinder explode?
102∘C
Given, P1 = 15 atm, T1 = ?
P2 = 12 atm, T2 = 300 K (273+27)
Since the volume of the cylinder remains constant,
P1T1=P2T2
Therefore,15T1=12300
T1 = 375 K.
i.e., the cylinder will explode above 375 K or 102∘C.