I put air in the tires of my car during the summer, while it was 34.9˚C outside (about 94.82˚F). My tires say to fill them to a pressure of 203,000 Pa. Boltzmann's constant is 1.38 x 10-23 J/K A) If my tires have a volume of 0.0100 m3, how many air molecules are in the tire? B) These tires go all summer without losing any air, however come fall the temperature drops down to 2.04˚C (about 35.672˚F). Assuming the volume doesn’t change (because it doesn’t) what is the new pressure in my tires?

College Physics
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Chapter10: Thermal Physics
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Problem 31P: (a) An ideal gas occupies a volume of 1.0 cm3 at 20.C and atmospheric pressure. Determine the number...
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I put air in the tires of my car during the summer, while it was 34.9˚C outside (about 94.82˚F).  My tires say to fill them to a pressure of 203,000 Pa. 

Boltzmann's constant is 1.38 x 10-23 J/K

A) If my tires have a volume of 0.0100 m3, how many air molecules are in the tire?

B) These tires go all summer without losing any air, however come fall the temperature drops down to 2.04˚C (about 35.672˚F).  Assuming the volume doesn’t change (because it doesn’t) what is the new pressure in my tires?

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