An iron cylider contains helium at a pressure of `250 kPa` 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 whether the cylinder will blow up before it melts or not melting point of cylinder `=1800 K` .

Explanation

Given `P_(1) = 250 kPa, P_(2) = 1 xx 10^(6) Pa, T_(1) = 300K,`
`T_(2) =?`
Since volume of cylinder remains constant therefore
`(P_(1))/(T_(1)) = (P_(2))/(T_(2))`
`(250 xx 10^(3))/(300) = (1 xx 10^(6))/(T_(2))`
`T_(2) = 1200K`
The cylinder will blow upto `1200K` before its melting point `(1800K)` .