Chapter 10, Problem 108RQ

*10.108 Early one cool $\left(\text{60}\text{.0 °F}\right)$ morning you start on a bike ride with the atmospheric pressure at $\text{14}\text{.7 lb in}{\text{.}}^{\text{-2}}$ and the tire gauge pressure at $\text{50}\text{.0 lb in}{\text{.}}^{\text{-2}}$. (Gauge pressure is the amount that the pressure exceeds atmospheric pressure.) By late afternoon, the air had warmed up considerably, and this plus the heat generated by tire friction sent the temperature inside the tire to $\text{104 °F}$. What will the tire gauge now read, assuming that the volume of the air in the tire and the atmospheric pressure have not changed?