Question

A car tire is filled with nitrogen gas at $35psi$ and ${27}^{\circ }C.$ It will burst if pressure exceeds $40psi.$ The temperature in ${}^{\circ }C$ at which the car tyre will burst is ______. (Rounded off to the nearest integer)

Answer 1

According to Gay-Lussac's law,
$\frac{P_1}{T_1}=\frac{P_2}{T_2}\frac{35}{300}=\frac{40}{T_2}{T}_2=\frac{40\times 300}{35}\approx 342.86K{T}_2={69.86}^{\circ }C\approx {70}^{\circ }C$