Math Problem Statement
Solution
To solve this problem, we will use the concept of molarity and the stoichiometry of the neutralization reaction given.
Given Data:
- Volume of hydrochloric acid () solution, .
- Concentration of hydrochloric acid solution, .
- Volume of potassium hydroxide () solution required for neutralization, .
- The reaction is:
Steps to Solve:
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Convert Volumes to :
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Calculate the Moles of : Using the formula :
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Using the Stoichiometry of the Reaction: The balanced equation shows a 1:1 molar ratio between and . Therefore, moles of required for neutralization will also be moles.
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Calculate the Concentration of : Using :
Answer:
The concentration of the potassium hydroxide solution is approximately .
Would you like more details or have any questions?
Here are some related questions for further practice:
- How would the concentration change if the volume of potassium hydroxide used was doubled?
- What volume of 0.1 mol/dm³ would be needed to neutralize the same amount of ?
- How would you adjust the calculation if the solution was diluted before use?
- What if the reaction involved sulfuric acid () instead of ; how would the stoichiometry change?
- How would the solution's molarity be affected if the temperature changes?
Tip: Always ensure units are consistent throughout your calculations to avoid errors.
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Math Problem Analysis
Mathematical Concepts
Stoichiometry
Molarity
Unit Conversion
Formulas
Moles = Concentration × Volume
Concentration = Moles / Volume
Theorems
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Suitable Grade Level
Grade 10-12
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