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Homework Statement
Unknown amounts of methane and ethane are mixed at STP. The resulting mixture has a density of 1.18 g/L. Find the ratio of ethane to ethane.
The Attempt at a Solution
Since it's a ratio, we can convert it to 1 mol methane : X mol ethane
1 L methane at STP = [itex]\frac{RT}{P}[/itex] = [itex]\frac{.08206 * 273}{1}[/itex] = 22.402 mol
X L ethane at STP = 22.402X mol
d = [itex]\frac{m}{V}[/itex]
1.18 = [itex]\frac{1.18(22.402 + 22.402*X)}{2*22.402}[/itex]
1 = X
So it's a 1:1 ratio.
I was talking to someone who's better at chemistry than I am, and he said it got a 1:4 ratio. Plus, this method doesn't seem right since I didn't use the masses of CH4 or C2H6 (which would mean that there would always be a 1:1 ratio, regardless of the compounds). How do I do this?
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