Halliday, Resnick & Walker — The Kinetic Theory of Gases: Problem 31

31 An automobile tire has a volume of \(1.64 \times 10^{-2}\text{ m}^3\) and contains air at a gauge pressure (pressure above atmospheric pressure) of \(165\text{ kPa}\) when the temperature is \(0.00^\circ\text{C}\). What is the gauge pressure of the air in the tires when its temperature rises to \(37.0^\circ\text{C}\) and its volume increases to \(1.67 \times 10^{-2}\text{ m}^3\)? Assume atmospheric pressure is \(1.01 \times 10^5\text{ Pa}\).