A car tyre is filled with nitrogen gas at 35 psi at 27-C- It will burst if pressure exceeds 40 psi- The temperature in -C at which the car tyre will burst is -Rounded off to the nearest integer

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Standard XII

Physics

Heat Capacity

A car tyre is...

Question

A car tyre is filled with nitrogen gas at $35 p s i$ at $27^{\circ}$ 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

Assuming that no. of moles of $N_{2}$ and volume of tyre remains constant and pressure is changed by changing temperature.
Using : $\frac{P}{T} = constant$
$\frac{P_{1}}{T_{1}} = \frac{P_{2}}{T_{2}}$
$\Rightarrow T_{2} = \frac{40 \times 300}{35}$
$\approx 343 K$
$T_{2} - 273 = 70^{\circ} C$

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A car tyre is filled with nitrogen gas at 35 psi at 27∘C. It will burst if pressure exceeds 40 psi. The temperature in ∘C at which the car tyre will burst is _____.(Rounded off to the nearest integer)

Assuming that no. of moles of N2 and volume of tyre remains constant and pressure is changed by changing temperature. Using : PT=constant P1T1=P2T2 ⇒T2=40×30035 ≈343 K T2−273=70∘C

A car tyre is filled with nitrogen gas at $35 p s i$ at $27^{\circ}$ 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)

Assuming that no. of moles of $N_{2}$ and volume of tyre remains constant and pressure is changed by changing temperature.
Using : $\frac{P}{T} = constant$
$\frac{P_{1}}{T_{1}} = \frac{P_{2}}{T_{2}}$
$\Rightarrow T_{2} = \frac{40 \times 300}{35}$
$\approx 343 K$
$T_{2} - 273 = 70^{\circ} C$