Chapter 12, Problem 42P

* Car tire dilemma Imagine a car tire that contains 5.1 moles of air when at a gauge pressure of $2.1\times {10}^{5}N/m^2$

(the pressure above atmospheric pressure) and a temperature of $\text{27 °C}$. The temperature increases to $\text{37°C}$

, the volume decreases to 0.8 times the original volume, and the gauge pressure decreases to $1.6x{10}^{5}N/m^2$. Can these measurements be correct if the tire did not leak? If it did leak, then how many moles of air are left in the tire?