Question:
A car tyre is filled with nitrogen gas at 35 psi at $27^{\circ} \mathrm{C}$. It will burst if pressure exceeds 40 psi. The temperature in ${ }^{\circ} \mathrm{C}$ at which the car tyre will burst is________________ . (Rounded-off to the nearest integer)
Solution:
(70)
$\frac{P_{1}}{T_{1}}=\frac{P_{2}}{T_{2}}$
$\frac{35}{300}=\frac{40}{T_{2}}$
$T_{2}=\frac{40 \times 300}{35}$
$=342.86 \mathrm{~K}$
$=69.85^{\circ} \mathrm{C}=70^{\circ} \mathrm{C}$