Question

An iron cylinder contains helium at a pressure of 250 kPa at 300K. The cylinder can withstand a pressure of `1xx10^(6)Pa`. The room in which cylinder is placed catches fire. Predict whether the cylinder will blow up before it melts or melts or not. (M.P. of the cylinder=1800 K)

Answer 1

`P_(1)=250 K Pa," "T_(1)=300 K`
`P_(2)=? " "T_(2)=1800 K`
Applying pressure-temperature law, `(P_(1))/(T_(2))=(P_(2))/(T_(2))" "," "(250)/(300)=(P_(2))/(1800)" or "P_(2)=1500 kPa`
As the cylinder can withstand a pressure of `10^(6)Pa=10^(3) kPa=1000 kPa`, hence it will blow up.