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Mole fraction of unknown gas and molar mass of the gas

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Author Topic: Mole fraction of unknown gas and molar mass of the gas  (Read 427 times)
catchtex
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« on: December 12, 2009, 12:04:07 AM »

A mixture of an unknown gas with nitrogen in a 5.00 L container exerts a pressure of 2.35 atm at 27.35°C. Before the unknown gas was added the container had a pressure 1.76 atm.

What is the mole fraction of the unknown gas?
(First time I tried this I got .119 by subtracting the two pressures and using PV=nRT)

If 2.42 g of the unknown gas was added to the container, what is the molar mass of the gas?
(Couldn't do this one without the first one)

Any help would be greatly appreciated!!!


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kingchemist
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« Reply #1 on: December 12, 2009, 05:45:45 AM »
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Mole N2 = PV/RT = 1.76 x 5.00/0.082?057 x 300.35 = 0.3571 moles N2

When gas is added total moles = PV/RT = 2.35 x 5.00/0.082?057 x 300.35 = 0.4768 moles

So moles of unknown gas = 0.4768 moles - 0.3571 moles N2 = 0.1197 moles (same as you)

So mole fraction of unknown gas = 0.1197/0.4768 = 0.2510

0.1197 moles of unknown gas weigh 2.42g
1 mole   of unknown gas weighs (2.42/0.1197)  x 1 = 20.2172 g

20.2172 g/mol is the molar mass
hey
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'Chemistry is not just the study of matter; Chemistry is the study which matters!' - Kingchemist
catchtex
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« Reply #2 on: December 12, 2009, 06:09:37 PM »
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Wow  :o Thank you!  That was very helpful. I forgot the last step on the first part of the problem...
hey
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