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Chemists often need to create specific solutions with precise concentrations of chemicals. In order to make a 10% Chlorine solution, a chemist needs to mix a 30% Chlorine solution with pure water. In this case, the chemist wants to make a 20mL solution. To calculate the amounts needed, we can use a simple formula:
Let 'x' represent the volume of the 30% Chlorine solution needed.
To determine the amount of Chlorine in the 30% solution: (30% Chlorine) * x mL
To determine the amount of Chlorine needed in the final 10% solution: (10% Chlorine) * 20 mL = (10/100) * 20 mL
Next, we set up an equation with the two amounts of Chlorine: (30% Chlorine) * x mL = (10/100) * 20 mL
Simplifying the equation: (0.30) * x = (0.10) * 20
Solving for x: x = (0.10 * 20) / 0.30
Calculating the value of x: x ≈ 6.67 mL
Therefore, the chemist needs to mix approximately 6.67 mL of the 30% Chlorine solution with pure water to make a 10% Chlorine solution in a total volume of 20 mL.
