Final answer:
The pressure in car tires will decrease when the temperature drops from 35.0°C to -40.0°C due to Gay-Lussac's law. However, the question also contained information about aircraft landing gear pressure, which requires a different evaluation based on aviation maintenance standards.
Step-by-step explanation:
The question is related to the physics of gasses and how changes in temperature affect their pressure. Utilizing the ideal gas law and its principles, one can determine how the gauge pressure changes with temperature. The gauge pressure in the tires is initially at 2.50 × 10^5 N/m² at a temperature of 35.0°C.
When the temperature drops to -40.0°C, the gauge pressure will also decrease. This is due to the direct proportionality between pressure and temperature when volume and amount of gas remain constant according to Gay-Lussac's law.
While the actual calculation to determine the new tire pressure would typically involve mathematical conversion of temperatures to the Kelvin scale and applying the formula P1/T1 = P2/T2, where P is pressure and T is temperature, the question does not provide sufficient information for a complete calculation as it specifically asks what action to take if the nose landing gear tire pressure is at 198-202 psi.
This segment may refer to an aircraft maintenance situation where specific protocol should be followed depending on the aircraft's maintenance manual and recommended tire pressure settings.