Beginning with the ideal gas law (PV = nRT), show the assumptions and arithmetic

Question

Beginning with the ideal gas law (PV = nRT), show the assumptions and arithmetic manipulations necessary to derive density of a gas. A 2 liter balloon containing nitrogen gas at room temperature is placed in a vessel. Assuming the balloon is massless except for the nitrogen gas, will the balloon rise, fall, or float if the vessel is charged with the following gas? Carbon dioxide Hydrogen Ethylene (H_2C=CH_2) Beginning with the Ideal gas law (PV = nRT), show the assumptions and arithmetic manipulations necessary to derive molar mass of a gas. What are the molecular masses of the gases with the following densities:

Explanation / Answer

4)Density = Mass /Volume
At STP 1 mole occupies 22.4 L
Density = Molar mass / 22.4L
1.342 = Molar mass /22.4

Molar mass = 30.0608

Molecualr mass = dRT/p

= 1.053*0.08206*298.15 / 0.989 = 26.05g/mol

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