Final answer:
The volume of gas in a car tire will increase when the temperature rises from 26 degrees Celsius to 36 degrees Celsius, according to Charles's Law, which relates volume and temperature of an ideal gas under constant pressure.
Step-by-step explanation:
The student's question pertains to how the volume of a gas changes with temperature. This is a concept from physics, specifically related to the behavior of an ideal gas under different temperatures, which can be described by Charles's Law. When the temperature of a gas increases, as long as the pressure remains constant, the volume of the gas will increase proportionally. The formula that describes this relationship is V1/T1 = V2/T2, where V1 and T1 are the initial volume and temperature, respectively, and V2 and T2 are the final volume and temperature.
In the given scenario, the initial volume (V1) is 12 liters and initial temperature (T1) is 26 degrees Celsius (or 299 K). The final temperature (T2) is 36 degrees Celsius (or 309 K). Since we are looking for the final volume (V2), we can rearrange the formula to solve for V2: V2 = V1 * (T2/T1). Plugging in the numbers gives: V2 = 12 L * (309 K / 299 K), which results in the new volume of the tire at the warmer temperature.