Determine the amount of NaOH and Sr(OH)2 based on pOH

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Discussion Overview

The discussion revolves around a homework problem involving a base solution containing NaOH and Sr(OH)2, where participants are tasked with determining the amounts of each based on the given pOH of the solution. The scope includes mathematical reasoning and conceptual clarification regarding the dissociation of strong bases.

Discussion Character

  • Homework-related
  • Mathematical reasoning
  • Conceptual clarification

Main Points Raised

  • One participant calculates the concentration of OH- based on the pOH and expresses confusion about the discrepancy between their calculation (0.1236 moles of OH) and the total moles of NaOH and Sr(OH)2 (0.100 moles) provided in the problem.
  • Another participant inquires about the number of moles of OH- produced per mole of dissociating Sr(OH)2, indicating that it produces 2 moles of OH-.
  • A further response confirms that 3 moles of OH- are produced from the dissociation of both NaOH and Sr(OH)2, with 2 moles coming specifically from Sr(OH)2.
  • A participant questions the meaning of the statement regarding the total moles of NaOH and Sr(OH)2 in the solution.

Areas of Agreement / Disagreement

Participants express confusion and seek clarification on the calculations and definitions related to the problem. There is no consensus on the resolution of the discrepancies noted in the calculations.

Contextual Notes

The discussion highlights potential misunderstandings regarding the dissociation of strong bases and the interpretation of the total moles of bases in the solution. There are unresolved mathematical steps and assumptions about the contributions of each base to the total hydroxide ion concentration.

ducmod
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Homework Statement


Hello!
I am trying to solve the following problem:
A 4.00-L base solution contains 0.100 mol total of

NaOH and Sr(OH)2 . The pOH of the solution is 1.51.

Determine the amounts (in moles) of NaOH and

Sr(OH)2 in the solution.

Homework Equations


3. The Attempt at a Solution [/B]
I am stuck because I am not sure I correctly constructing the solution path:

We have pOH = 1.51, which means that there are 10^(-1.51) moles of OH in solution, i.e. 0.0309 moles per one liter of solution. If I have 4 liters, then shouldn't there be 0.1236 moles of OH in this solution?
But according to the problem there are only 0.100 moles of NaOH and Sr(OH)2; both are strong bases, therefore there 0.100 moles of OH in the 4 liters of solution. How can that be?
Where is my mistake?
Thank you very much!
 
Physics news on Phys.org
How many moles of OH- are produced per 1 mole of dissociating Sr(OH)2?
 
Borek said:
How many moles of OH- are produced per 1 mole of dissociating Sr(OH)2?
2 moles. There are 3 moles of OH- produced by dissociating both NaOH and Sr(OH)2, and two of those come from dissociating Sr(OH)2
 
What does it mean

ducmod said:
solution contains 0.100 mol total of NaOH and Sr(OH)2
 

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