Question

7.25 moles of air are pumped into a car tire. At 80°C, the pressure inside the tire is 506.625
kPa. What is the volume of the tire?

Answer 1

For this question you need to use the ideal gas equation PV = nRT.

P is pressure, V is volume, n is number of moles, R is molar gas constant (8.31J/mol*K) and T is temperature.

The temperature must be in Kelvin for this equation, 80°C in kelvin is (80 + 273.15) = 353.15K

We also want to convert the kPa into Pa so we times by 1000 giving us 506625Pa

Since we’re looking for volume we rearrange to make V the subject giving us V = nRT/P.

Now you just plug in the values, V = 7.25 * 8.31 * 353 / 506625 which will give us 0.042m^3.

Hope this helps