What will be the concentration if 52 milliters of a solution that is 12 parts per million in sodium chloride is diluted with enough water to make 97 millilters of solution?
To find the concentration of the solution after dilution, we need to calculate the amount of sodium chloride that remains in the solution.
First, we need to determine the initial amount of sodium chloride in the 52 milliliters of solution.
Given that the initial concentration is 12 parts per million (12 ppm), we can calculate the initial amount of sodium chloride using the formula:
Initial amount of sodium chloride = Initial concentration × Volume of solution
Substituting the given values:
Initial amount of sodium chloride = 12 ppm × 52 milliliters
Now, we can calculate the final concentration of the solution after dilution.
To do this, we need to consider that the initial amount of sodium chloride remains the same, but the volume of the solution increases to 97 milliliters.
Final concentration = Initial amount of sodium chloride / Final volume of solution
Substituting the known values:
Final concentration = (Initial concentration × Initial volume) / Final volume
Final concentration = (12 ppm × 52 milliliters) / 97 milliliters
Simplifying the equation:
Final concentration = 624 ppm / 97 milliliters
Therefore, the concentration of the solution after dilution is approximately 6.43 parts per million (ppm) of sodium chloride.