Math Problem Statement
Solution
To solve this problem, we will use the dilution equation:
Where:
- is the initial concentration (6.0 M),
- is the initial volume (25 mL),
- is the final concentration (what we are trying to find),
- is the final volume (750 mL).
Rearranging the equation to solve for :
Substituting the values:
So, the final concentration is 0.2 M.
Would you like more details or have any further questions?
Here are five related questions to expand this topic:
- How does changing the final volume affect the concentration of the solution?
- What happens to the concentration if the initial volume is doubled?
- How would the process change if the substance is not HCl but a different acid or base?
- Can you calculate the final concentration if the dilution involves adding more than one substance?
- What is the difference between a molarity-based dilution and a mass-based dilution?
Tip: When performing dilutions, always make sure the units for volume are consistent throughout the calculation.
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Math Problem Analysis
Mathematical Concepts
Dilution
Molarity
Algebra
Formulas
C1V1 = C2V2
C2 = (C1 * V1) / V2
Theorems
-
Suitable Grade Level
Grades 9-12
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