Math Problem Statement
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Solution
To prepare a 400 mL (0.400 L) solution of 1.2 M NaCl, we need to calculate the mass of NaCl required.
Steps for calculation:
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Molarity formula: Where:
- is the molarity (1.2 M in this case),
- is the number of moles of solute (NaCl),
- is the volume of the solution in liters (0.400 L).
Rearranging the formula to solve for :
-
Calculate moles of NaCl:
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Convert moles of NaCl to grams: The molar mass of NaCl is approximately 58.44 g/mol.
Now, calculate the mass of NaCl required:
Procedure for preparation:
- Measure out 28.05 grams of NaCl.
- Dissolve the NaCl in a small amount of distilled water in a beaker.
- Transfer the solution to a 400 mL volumetric flask.
- Add distilled water to the flask until the total volume reaches exactly 400 mL.
- Mix the solution thoroughly to ensure complete dissolution.
This will give you a 400 mL solution of 1.2 M NaCl.
Would you like further details or have any questions? Here are some related questions:
- How do you calculate the molarity of a solution given mass and volume?
- What are the steps to dilute a solution from a higher concentration?
- How does temperature affect the solubility of NaCl in water?
- Can molarity change if the solution evaporates?
- How would you prepare a 1.2 M NaCl solution if only a 6 M stock solution is available?
Tip: Always ensure that the final solution volume, not the added water, matches the desired volume in molarity preparations.
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Math Problem Analysis
Mathematical Concepts
Stoichiometry
Molarity
Unit Conversion
Formulas
Molarity formula: M = n/V
Moles calculation: n = M × V
Mass of solute: mass = moles × molar mass
Theorems
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Suitable Grade Level
Grades 10-12
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