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# HW3_gas-2 - Solutions for HW 3 3.?How...

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3.       Can we conclude that the air in a typical classroom is an ideal gas? How  do you know? Test your conclusion using the fact (observation) that the density  of air at room temperature is known to be 1.21 kg/m 3 . We could test the model of an ideal gas for air in a typical classroom by using the ideal  gas law. We can solve for the density and compare it to the given number which was  presumably obtained by an independent method. Start with, = P V n R T We can find the density after making the following substitutions: = n m M and = ρ m V Where m is mass, V is volume and M is the molar mass of our gas. You get: = P V ρ V R T M Or after solving for density := ρ P M R T For air in a classroom we have: Pressure := P 1.0 [ ] atm or := P 101000. [ ] Pa Molar mass for air := M 0.0290 kg mol Room temperature := T

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HW3_gas-2 - Solutions for HW 3 3.?How...

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