Maintaining Air Pressure in a Tire

How can we maintain the original air pressure in a tire when the temperature increases?

To maintain the original pressure of 220 kPa in the tire when it reaches a temperature of 38°C, a fraction of the original air must be removed. Using the ideal gas law, we can calculate the fraction of air that needs to be removed by rearranging the equation P1/T1 = P2/T2. By substituting the known values and calculating the fraction of air removed, we can determine how much air should be removed from the tire.

Calculating Air Pressure in a Tire

Explanation: To maintain the original pressure of 220 kPa in the tire when it reaches a temperature of 38°C, we need to remove a fraction of the original air. To determine the fraction, we can use the ideal gas law. First, convert the temperatures to Kelvin by adding 273.15. Then, use the equation:

P1/T1 = P2/T2

Where P1 is the initial pressure, T1 is the initial temperature in Kelvin, P2 is the final pressure (which is the same as the initial pressure), and T2 is the final temperature in Kelvin. Rearrange the equation to solve for the fraction of air removed:

Fraction of air removed = (T2 - T1) / T2

Substitute the known values and calculate the fraction of air removed.
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