🤓 Based on our data, we think this question is relevant for Professor Zhao's class at IUPUI.

We are asked to calculate the mass of air in an air-filled tire.

Given:

$\mathbf{V}\mathbf{}\mathbf{=}\mathbf{}\mathbf{860}\mathbf{}\overline{)\mathbf{mL}}\mathbf{}\mathbf{\times}\frac{{\mathbf{10}}^{\mathbf{-}\mathbf{3}}\mathbf{}\mathbf{L}}{\mathbf{1}\mathbf{}\overline{)\mathbf{mL}}\mathbf{}}\mathbf{}\mathbf{}\mathbf{=}\mathbf{}\mathbf{0}\mathbf{.}\mathbf{86}\mathbf{}\mathbf{L}\phantom{\rule{0ex}{0ex}}\mathbf{P}\mathbf{}\mathbf{=}\mathbf{}\mathbf{125}\mathbf{}\overline{)\mathbf{psi}}\mathbf{}\mathbf{\times}\mathbf{}\frac{\mathbf{1}\mathbf{}\mathbf{atm}}{\mathbf{14}\mathbf{.}\mathbf{7}\overline{)\mathbf{psi}}\mathbf{}}\mathbf{}\mathbf{=}\mathbf{}\mathbf{8}\mathbf{.}\mathbf{50}\mathbf{}\mathbf{atm}\phantom{\rule{0ex}{0ex}}\mathbf{T}\mathbf{}\mathbf{=}\mathbf{}\mathbf{25}\mathbf{}\mathbf{\xb0}\mathbf{C}\mathbf{}\mathbf{+}\mathbf{273}\mathbf{.}\mathbf{15}\mathbf{}\mathbf{=}\mathbf{}\mathbf{298}\mathbf{.}\mathbf{15}\mathbf{}\mathbf{K}$

MM = 28.8 g/mol

Olympic cyclists fill their tires with helium to make them lighter. Assume that the volume of the tire is 860 mL , that it is filled to a total pressure of 125 psi , and that the temperature is 25 ^{o}C. Also, assume an average molar mass for air of 28.8 g/mol.

Calculate the mass of air in an air-filled tire.

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What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the The Ideal Gas Law concept. You can view video lessons to learn The Ideal Gas Law. Or if you need more The Ideal Gas Law practice, you can also practice The Ideal Gas Law practice problems.

What professor is this problem relevant for?

Based on our data, we think this problem is relevant for Professor Zhao's class at IUPUI.