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.
A
\(21.10Nm^{-2}\)
B
\(24Nm^{-2}\)
C
\(39.07Nm^{-2}\)
D
\(45Nm^{-2}\)
E
\(97.25Nm^{-2}\)
Verified Correct Answer: B.
Physical Principles & Numerical Solution
\(\frac{P_1}{T_1}=\frac{P_2}{T_2};P_2= \frac{22.5\times320K}{300K}=24Nm^{-2}\)
Source: Myschool Past Questions Archive (Record #26283)