an automobile tire has a pressure 24.2lb/in² at 20.4 degrees Celsius after driving for an hour the tire pressure increases 28.3lb/in². Assuming that the tire volume did the change. What will be the tire's temperature?
Answer (1)
Gay-Lussac's Law states that the relationship between pressure and temperature, when volume is constant, is proportional to each other. Mathematically, it can be written as[tex]\frac{P_1}{T_1} = \frac{P_2}{T_2}[/tex]where T is in KTo get the new tire temperature,[tex]\frac{24.2}{20.4} = \frac{28.3}{T_2}[/tex]Solving for T2 gives 70.13 °C
