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Molar and Specific Heat Capacity

A car tire is...

Question

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

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Solution

According to Gay-Lussac's law,
$\frac{P_{1}}{T_{1}} = \frac{P_{2}}{T_{2}} \frac{35}{300} = \frac{40}{T_{2}} T_{2} = \frac{40 \times 300}{35} \approx 342.86 K T_{2} = {69.86}^{\circ} C \approx 70^{\circ} C$

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