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The pressure of air in a tire is \(22.5Nm^{-2}\) at 27°C. If the air in the tyre h...


Question

The pressure of air in a tire is \(22.5Nm^{-2}\) at 27°C. If the air in the tyre heats up to 47°C, calculate the new pressure of the air, assuming that no air leaks out and that the change in volume of the air can be neglected.

Options

A) \(21.10Nm^{-2}\)

B) \(24Nm^{-2}\)

C) \(39.07Nm^{-2}\)

D) \(45Nm^{-2}\)

E) \(97.25Nm^{-2}\)


The correct answer is B.

Explanation:

\(\frac{P_1}{T_1}=\frac{P_2}{T_2};P_2= \frac{22.5\times320K}{300K}=24Nm^{-2}\)

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