An iron cylinder contains helium at a pressure of 250 k Pa at 300 K. The cylinder can withstand a pressure of `1 xx 10^6` Pa. The room in which cylinder is placed catches fire. Predict the temperature (in K) at which the cylinder will blow up before it melts or not (m.p.t. of the cylinder =1800K)..

Explanation

Let `P_(1)=2 atm`, `P_(2)=?`
`T_(1)=25^(@)C=298 K`, `T_(2)=2235 K`
According to Amonton's law equation,
`(P_(1))/(T_(1))=(P_(2))/(T_(2))`
Thus, `P_(2)=(P_(1)T_(1))/(T_(1))=(2xx2235)/(298)=15 atm`
Since the pressure of the gas in the tank is more than `10atm` at the melting point, this tank will blow up before reaching the melting point.