Final answer:
The question involves the calculation of tire pressure changes due to temperature fluctuations, based on the Ideal Gas Law in physics. It illustrates how pressure increases with temperature under constant volume, and notes the practical importance of proper tire pressure maintenance.
Step-by-step explanation:
The question focuses on the change in tire pressure due to temperature changes using the Ideal Gas Law, a concept covered in physics. The student's problem provides a real-life scenario where tire pressure increases when the temperature rises. According to the Ideal Gas Law, pressure and temperature are directly proportional when volume is held constant.
When a tire's temperature increases from 20°C to 30°C, it corresponds to a small increase in pressure from 35 psi to 36.5 psi. To calculate the pressure change due to a temperature change from 35.0°C to −40.0°C, the proportions of initial and final pressures to their respective temperatures in Kelvin must be maintained, considering the gas behaves ideally and there are no significant leaks or volume changes.
Important notes that relate to this problem include that recommended tire pressure is often specified by car manufacturers for optimal performance, tire pressure is best measured when the tire is cold, and maintaining the proper pressure is beneficial for fuel efficiency and tire longevity.