UTF-8Boyle's Law Simulating an Ideal Gas:
Avogadro proposed that equal numbers of gas particles at the same pressure and temperature should occupy the same volume. In making
this statement he was assuming the gas was behaving ideally which means it obeys PERFECTLY PV = nRT. He was also saying that it does
not matter what the MASSES of the gases are.
We know that PV = nRT cannot be true because it implies that at T= 0 the molecules have zero volume! Real molecules have a volume, but usually
in a gas this volume is very small compared to the volume they fill. Another assumption is that the molecules do not attract each other -- so that
at low temperature they do not form liquids or solids.
So let's set up a simulation to test this: Currently the gases are NOT ideal!
1. Make the molecules in each container as small as possible, on both sides.
2. Adjust the intermolecular potential of the molecules on each side so that there are NO attractive forces.
3. Adjust the masses of the particles on the left have molecular weight = 32 grams/mole.
4. Adjust the masses of the particles on the right so they have molecular weight = 8 grams/mole.
The pressure is the same in each cylinder because the piston in each case has the same mass.
The temperature is also the same (4000 K) in each cylinder (see the thermometer). We adjust it with the menu item Heat Bath under Options --> Tools --> Heat Bath
Each container has the same number of particles (25). Question: Does each container have the same number of moles of gas?
true14141414true140 0 2551414255 0 01414255 0 2551414141414141414255 0 25514255 0 2551414true141414true141414true1414255 0 25514140 255 014255 0 2551414140 0 2551414255 153 014141414255 0 0141414141414org.concord.modeler.PageMultipleChoicefalse3800200<html>
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What will happen after we run the simulations for a while?
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trueThe volume occupied by the gas particles will the same in the two simulations.The volume occupied by the gas particles will be greater for the simulation on the left.The volume occupied by the gas particles will be greater for the simulation on the right.0-4b2a011414org.concord.mw2d.activity.AtomContainerIdeal_Gas2(Trae, changed number)$0.mmlorg.concord.mw2d.activity.AtomContainerIdeal_Gas2(Trae, changed number)$1.mml1414141414