What is the percent composition of CdSO4 in a 1.0 molal aqueous solution?

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Discussion Overview

The discussion centers around calculating the percent composition of cadmium sulfate (CdSO4) in a 1.0 molal aqueous solution. Participants explore different interpretations of the percent composition, including weight per weight and weight per volume, and how these interpretations affect the calculated values.

Discussion Character

  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant calculates the percent composition as 20.8% by mass based on the molar mass of CdSO4 and the mass of water, questioning the discrepancy with a test answer of 17.2%.
  • Another participant suggests that the calculation method may depend on whether percent composition is defined as weight per volume or weight per weight, indicating that this choice significantly affects the result.
  • A later reply emphasizes the importance of including the mass of the solution (208.47g of CdSO4 plus 1000g of water) in the calculation to determine the total mass for percent composition.
  • One participant mentions that the calculated values could be 17.5% w/w or 20.8% w/v, noting that the latter requires knowledge of the solution's density.

Areas of Agreement / Disagreement

Participants express differing views on how to approach the calculation of percent composition, with no consensus on which method is correct or preferred. The discussion remains unresolved regarding the appropriate interpretation of the problem.

Contextual Notes

Participants highlight the lack of clarity in the original problem statement regarding whether to use weight per weight or weight per volume, which contributes to the differing results.

bxadook
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What is the percent CdSO4 by mass in a 1.0 molal aqueous solution?

My attempt:

CdSO4 is 208.47g/mol
1.0 molal = 1 mol CdSO4/1kgH2O
Converted mols to grams, and kg to g.
208.47g Cd/1000g H2O = .20847
.20847 x 100 to get % mass = 20.8%


It is an old test question that I am going over for finals week. I keep coming up with a different answer than what was on my test. I keep getting the value of 20.8%, which the answer listed on my test is 17.2%. Did my teacher make a failure in grading or did I just do something differently the first time around? I can't find my original work.
 
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You want the result as how? Percent weight per volume, or percent weight per weight? The rate might have been assumed to be straight weight or mass only:

208 grams Cadmium Sulfate in 208+1000 grams SOLUTION. This perspective will affect the percentage very much.
 
thank you i am retard
 
bxadook said:
thank you i am retard

No, not really; you just forgot which perspective to use. Your teacher did not specify, so you should probably pick percent weight. Really, the instructions in the practice test should specify either %w/w, or %w/v.
 
I think it is neither. It makes sense when you are calculating total % composition of Cadmium Sulphate that you would divide 208.47 by 1208.47 instead of just 1000. Because 1000g would just be the mass of the solvent not the soln.
 
17.5% w/w or 20.8% w/v, note that the second number can't be calculated without knowing solution density.
 

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