How to Calculate Molarity and Percent Mass in a Titration Experiment?

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SUMMARY

The discussion focuses on calculating the molarity and percent mass of sulfuric acid in a solution using titration data. A student titrated 5.000 mL of sulfuric acid with 32.17 mL of 0.1048 M NaOH, resulting in a calculated molarity of 0.674 M for the sulfuric acid. The percent mass of sulfuric acid was determined to be 67.4%. The calculations require a balanced chemical equation for the reaction between sulfuric acid and NaOH to accurately derive the mole-to-mole ratios necessary for these computations.

PREREQUISITES
  • Understanding of titration techniques and calculations
  • Knowledge of molarity and percent mass formulas
  • Familiarity with stoichiometry and balanced chemical equations
  • Basic skills in unit conversions and density calculations
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  • Study the balanced chemical equation for the reaction between sulfuric acid and sodium hydroxide
  • Learn how to derive molarity from titration data using stoichiometric principles
  • Research methods for calculating percent mass from molarity and density
  • Explore examples of titration calculations involving different acids and bases
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Chemistry students, laboratory technicians, and educators involved in analytical chemistry and titration experiments will benefit from this discussion.

leah0084
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Homework Statement



A student finds that it takes 32.17 mL of 0.1048 M NaOH to titrate 5.000 mL of sulfuric acid solution. Determine the molarity and percent mass of the sulfuric acid in the solution (you may assume that the density of the sulfuric acid solution is the same as pure water).

____ M
____% sulfuric acid by mass.



Homework Equations



Molarity of Acetic Acid in Vinegar

First, using the known molarity of the NaOH (aq) and the volume of NaOH (aq) required to reach the equivalence point, calculate the moles of NaOH used in the titration.

From this mole value (of NaOH), obtain the moles of HC2H3O2 in the vinegar sample, using the mole-to-mole ratio in the balanced equation.

Finally, calculate the molarity of acetic acid in vinegar from the moles of HC2H3O2 and the volume of the vinegar sample used.



Mass Percent of Acetic Acid in Vinegar



First, convert the moles of HC2H3O2 in the vinegar sample (previously calculated) to a mass of HC2H3O2, via its molar mass.

Then determine the total mass of the vinegar sample from the vinegar volume and the vinegar density. Assume that the vinegar density is 1.000 g/mL (= to the density of water).

Finally, calculate the mass percent of acetic acid in vinegar from the mass of HC2H3O2 and the mass of vinega

==============================================================

above two are with given examples of our lab that we did in class. but since the problem that i could not solve was similar to what we did in lab, i thought i could use the formula. however, i could not understand what the whole calculation was about, since there is no implication of whether multiply or divide, etc. could anybody help me out please?

The Attempt at a Solution



what i did was

given:
volume base (Vb) = 32.17 mL
molarity (M) = 0.1048 M
volume acid (Va) = 5.000 mL


volume of acid solution = 5.000 mL
moles of acid present verified by titration:
volume of base x molarity of base used in acid titration

= 32.17 mL x 0.1048 M = 3.371 mol acid solution

the molarity of the acid solution is 3.371 mol / 5.000 mL = 0.674 M

and then following % would be 67.4%, i thought.
 
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leah0084 said:

Homework Equations



Molarity of Acetic Acid in Vinegar

First, using the known molarity of the NaOH (aq) and the volume of NaOH (aq) required to reach the equivalence point, calculate the moles of NaOH used in the titration.

From this mole value (of NaOH), obtain the moles of HC2H3O2 in the vinegar sample, using the mole-to-mole ratio in the balanced equation.

Finally, calculate the molarity of acetic acid in vinegar from the moles of HC2H3O2 and the volume of the vinegar sample used.




what is missing here is a balanced equation for both reactions, even though it is straightforward, and simple to see how the moles of HC2H3O2 would give moles of NaOH, it is necessary to write one for you to see how to solve the sulfuric acid problem - what is the balanced equation for sulfuric acid reacting with NaOH? and mole-mole ratio


Like the above, once you find the moles of sulfuric acid, you can find molarity of sulfuric acid since you have volume of that.

moles of sulfuric acid will give you the mass sulfuric acid...and so to find the % by mass of sulfuric acid in its solution, what is the equation of % by mass (what unit is this)? but Molarity is not the decimal form of %.
 

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