Multiple Choice
A 0.1 M solution is diluted by three orders of magnitude. What is the new concentration?
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6. Chemical Quantities & Aqueous Reactions
Dilutions
Multiple Choice
What volume of concentrated (14.7 M) phosphoric acid is required to prepare 25.0 L of 3.0 M H3PO4 solution?
A
5.10 L
B
8.80 L
C
1.60 L
D
12.5 L
Verified step by step guidance1
Identify the known values: the concentration of the concentrated phosphoric acid solution (C_1 = 14.7 M), the desired concentration of the diluted solution (C_2 = 3.0 M), and the volume of the diluted solution (V_2 = 25.0 L).
Recall the dilution formula, which relates the concentrations and volumes before and after dilution: \(C_1 \times V_1 = C_2 \times V_2\), where \(V_1\) is the volume of the concentrated solution needed.
Rearrange the dilution formula to solve for \(V_1\): \(V_1 = \frac{C_2 \times V_2}{C_1}\).
Substitute the known values into the equation: \(V_1 = \frac{3.0 \text{ M} \times 25.0 \text{ L}}{14.7 \text{ M}}\).
Calculate \(V_1\) to find the volume of concentrated phosphoric acid required to prepare 25.0 L of 3.0 M solution.
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