Calculating Volume of 0.835M Na2SO4 Solution (0.0534 mol Na+)

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To calculate the volume of a 0.835 M Na2SO4 solution containing 0.0534 moles of Na+, it is initially assumed that there is a 1:1 ratio between Na+ and Na2SO4. However, it is clarified that Na2SO4 contains two Na+ ions for every sulfate ion, indicating a 2:1 ratio. This means that 0.0534 moles of Na+ corresponds to 0.0267 moles of Na2SO4. The formula M = moles/volume is applied to find the volume, leading to a revised calculation. The discussion emphasizes the importance of understanding the stoichiometry of the compound in determining the correct volume.
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Question: What volume of a 0.835 M solution of Na2SO4 do you have if there are 0.0534 mol of Na+ present in the solution?

What I did: Since we have 0.0534 moles of Na+ ions in the Na2SO4 molecule, I used that for the equation. Since 0.0534 moles is in a 1:1 ratio with Na2SO4 I can conclude we have 0.0534 moles of Na2SO4.

M = Moles/Volume
0.835M = 0.0534moles of Na2SO4/V
Solving, I get 6.40x10^-2L

Is my reasoning correct?
 
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Well that is the definition of molarity you used there... so you reasoned:

M=n/V => V=n/M plug numbers in.
No worries.
 
RJLiberator said:
Since 0.0534 moles is in a 1:1 ratio with Na2SO4 I can conclude we have 0.0534 moles of Na2SO4.

Can you? Is it really 1:1?
 
Ah, prior to my test I spoke with my professor and it appears that I can do no such thing. There is 2 Na ions and 1 So4 ions so it is actually a 2 to 1 ratio. I will work this out when I get home tonight. :)

Thank you.
 
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