Before embarking on a car trip from Michigan to Florida to escape the winter col

Question

Before embarking on a car trip from Michigan to Florida to escape the winter cold, you inflate the tires of your car to a manufacturer-suggested pressure of 32 psi while the outside temperature is 23 °F and then make sure your valve caps are airtight. You arrive in Florida two days later, and the temperature outside is a pleasant 68 °F.
(a) What is the new pressure in your tires, in SI units?
_____kPA

(b) If you let air out of the tires to bring the pressure back to the recommended 32, what percentage of the original mass of air in the tires will you release?
______%

Explanation / Answer

a) constant volume
hence P1/T1 = P2/T2

T1= -5C = 268K T2 = 20C = 293K

hence P2 = 293*32/268 = 34.985 psi

b) 34.985/32 = N2/N1 = 1.093

percentage of air left = 8.5 percent

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