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If 29.11 mL of KMnO4 solution is required to oxidize 25.00 mL of 0.03105 M of Na2C2O4 solution, what is the concentration of KMnO4?

Respuesta :

Taking into account the reaction stoichiometry and the definition of molarity,  the concentration of KMnO₄ is 0.053 [tex]\frac{moles}{liter}[/tex].

Reaction stoichiometry

In first place, the balanced reaction is:

2 KMnO₄ + Na₂C₂O₄ → K₂C₂O₄ + 2 NaMnO₄

By reaction stoichiometry (that is, the relationship between the amount of reagents and products in a chemical reaction), the following amounts of moles of each compound participate in the reaction:

  • KMnO₄: 2 moles
  • Na₂C₂O₄: 1 mole
  • K₂C₂O₄: 1 mole
  • NaMnO₄: 2 moles

Definition of molarity

Molar concentration or molarity is a measure of the concentration of a solute in a solution and indicates the number of moles of solute that are dissolved in a given volume.

The molarity of a solution is calculated by dividing the moles of solute by the volume of the solution:

[tex]molarity=\frac{number of moles}{volume}[/tex]

Molarity is expressed in units [tex]\frac{moles}{liter}[/tex].

Moles of Na₂C₂O₄ that react

In this case, you know:

  • Molarity= 0.03105 M
  • number of moles= ?
  • volume= 25 mL= 0.025 L (being 1000 mL= 1 L)

Replacing in the definition of molarity:

[tex]0.03105 M=\frac{number of moles}{0.025 L}[/tex]

Solving:

0.03105 M× 0.025 L= number of moles

0.00077625 moles= number of moles

Then 0.00077625 moles of Na₂C₂O₄ react.

Moles of KMnO₄ that react

The following rule of three can be applied: If by reaction stoichiometry 1 mole of Na₂C₂O₄ react with 2 moles of KMnO₄, 0.00077625 moles of Na₂C₂O₄ react with how many moles of KMnO₄?

[tex]moles of KMnO_{4} =\frac{0.00077625 moles of Na_{2} C_{2} O_{4} x 2moles of KMnO_{4}}{1 mole of Na_{2} C_{2} O_{4}}[/tex]

moles of KMnO₄= 0.0015525 moles

Finally, 0.0015525 moles of KMnO₄ is required to react with 0.00077625 moles of Na₂C₂O₄.

Concentration of KMnO₄

You know:

  • number of moles= 0.0015525 moles
  • volume= 29.11 mL= 0.02911 L

Replacing in the definition of molarity:

[tex]molarity=\frac{0.0015525 moles }{0.02911 L}[/tex]

Solving:

molarity= 0.053 [tex]\frac{moles}{liter}[/tex]

Finally, the concentration of KMnO₄ is 0.053 [tex]\frac{moles}{liter}[/tex].

Learn more about

the reaction stoichiometry:

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molarity:

brainly.com/question/9324116

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brainly.com/question/7429224

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