A car tyre is filled with nitrogen gas at 35 psi at

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)

$\frac{P_{1}}{T_{1}}=\frac{P_{2}}{T_{2}}$

$\frac{35}{300}=\frac{40}{T_{2}}$

$T_{2}=\frac{40 \times 300}{35}$

$=342.86 \mathrm{~K}$

$=69.85^{\circ} \mathrm{C}=70^{\circ} \mathrm{C}$

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