Final answer:
The gauge pressure in car tires can be determined using the ideal gas law and by considering the change in temperature. By substituting the new temperature into the equation, the new gauge pressure can be calculated. However, it is important to note that the ideal gas law assumes ideal gas behavior.
Step-by-step explanation:
The gauge pressure in the car tires is determined using the ideal gas law, which states that PV = NkT, where P is the pressure, V is the volume, N is the number of molecules, k is Boltzmann's constant, and T is the temperature. In this case, the temperature has changed from 35.0°C to 40.0°C. The gauge pressure later can be calculated by using the ideal gas law and substituting the new temperature into the equation.
For example, if the initial gauge pressure in the car tires is 2.50 × 10^5 N/m² at a temperature of 35.0°C, and the temperature later drops to 40.0°C, we can solve for the new gauge pressure using the ideal gas law equation. Note that the ideal gas law assumes that the gas behaves ideally, which means that it follows certain assumptions, such as low pressures and low intermolecular forces.