Math Problem Statement
What is the molar concentration of a 100 mL aqueous solution that contains 2.00 g KCl (molar mass = 74.55 g/mol)?
Solution
To find the molar concentration of the KCl solution, we can follow these steps:
- Calculate the number of moles of KCl:
Given:
- Mass of KCl = 2.00 g
- Molar mass of KCl = 74.55 g/mol
- Convert the volume of the solution from mL to L:
Since molarity is defined as moles per liter, we need to convert 100 mL to liters:
- Calculate the molar concentration (Molarity):
So, the molar concentration of the KCl solution is 0.268 M.
Would you like further details or have any questions?
Here are some related questions for further exploration:
- How would the concentration change if the volume of the solution were doubled?
- What would be the concentration if 5.00 g of KCl were dissolved in the same 100 mL?
- How would the molarity differ if you used NaCl instead of KCl with the same mass?
- What would be the concentration in ppm (parts per million) for this solution?
- How can the dilution equation help in creating solutions of lower concentrations?
Tip: Always ensure your solution volume is converted to liters when calculating molarity.
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Math Problem Analysis
Mathematical Concepts
Molarity
Stoichiometry
Unit Conversion
Formulas
Moles of KCl = Mass of KCl (g) / Molar mass of KCl (g/mol)
Molarity = Moles of solute / Volume of solution (L)
Theorems
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Suitable Grade Level
Grades 10-12