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Qube
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Homework Statement
It's such a gory problem, I'm going to have to attach a small image.
http://i.minus.com/j9XQTP6pIlh1a.png
Homework Equations
PV=nRT
Molarity (M) = moles/liter
The Attempt at a Solution
Okie dokie.
1) Let's find how much iodide reacted with the sulfur dioxide. There appears to be some iodide left over; hence the second reaction. So the iodide that reacted must be the total iodide added minus the iodide that reacted in the second equation.
The moles of iodide added is the volume multiplied by the molarity of the iodide, since the volume units will cancel out. Volume must be converted to liters. All in all, we get that she added 2.034 * 10^-4 moles of iodide.
What part of that is actually used? Well, the amount of excess iodide is similarly [(11.37 mL / 1000) * 0.0105 M thiosulfate]/2, since thiosulfate reacts with the remaining iodide in a 1:2 ratio.
That's 5.969*10^-5 moles of iodide excess.
Therefore the amount of iodide that reacted with SO2 is 2.034 * 10^-4 moles of iodide - 5.969*10^-5 moles of iodide = 1.43 * 10^-4 moles.
2) How many moles of SO2 were there?
Well, SO2 reacts with iodide in a 2:1 ratio. So there must have been twice the number of moles of SO2 as there were iodide that actually reacted. Or in other words, 2.87 * 10^-4 moles.
Okay.
3) V = nRT/P.
We can plug in numbers into the ideal gas law now. T = 311 K. P = 70/76 atm.
I get the volume is 0.00796 L.
This isn't an answer choice, and it's because we're looking for a percentage, not an absolute value.
Since the liters of air is 500 mL or 0.5 L, I divide the volume of SO2 by 0.5, effectively multiplying it, and I get 0.0159. Or 1.59%.
Questions:
1) I know my answer is correct. Is my reasoning sound?
2) Is there a faster way to do this? An alternate way to do this? Or is this pretty much the standard process: find what reacted, how much of what reacted - basically - going backwards?
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