Final answer:
The final volume of the car tire when it is moved from an indoor temperature of 23 °C to outdoors at -5 °C is 8.75 liters.
Step-by-step explanation:
The volume of a gas is directly proportional to its temperature and inversely proportional to its pressure, according to the combined gas law. To find the final volume of the car tire when it is moved from an indoor temperature of 23 °C to outdoors at -5 °C, we need to use the formula:
V2 = (P1 * V1 * T2) / (P2 * T1)
Plugging in the values:
V2 = (1 atm * 10.0 L * (-5 + 273)) / (1 atm * 23 + 273)
Simplifying the equation gives:
V2 = (10 * (-5 + 273)) / (23 + 273)
Calculating:
V2 = (10 * 268) / 296
V2 = 8.75 L
Therefore, the final volume of the car tire will be 8.75 liters.