Multiple Choice
In the equation c_1v_1 = c_2v_2, which variable represents the final concentration of the solution after dilution?
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6. Chemical Quantities & Aqueous Reactions
Dilutions
Multiple Choice
What volume of 2.5 M nitric acid (HNO3) is required to prepare 500 mL of a 0.20 M HNO3 solution?
A
40 mL
B
25 mL
C
100 mL
D
250 mL
Verified step by step guidance1
Identify the known values: the concentration of the stock solution \(C_1 = 2.5\,M\), the desired concentration of the diluted solution \(C_2 = 0.20\,M\), and the final volume of the diluted solution \(V_2 = 500\,mL\).
Recall the dilution equation 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 stock solution needed.
Rearrange the dilution equation to solve for \(V_1\): \(V_1 = \frac{C_2 \times V_2}{C_1}\).
Substitute the known values into the equation: \(V_1 = \frac{0.20\,M \times 500\,mL}{2.5\,M}\).
Calculate \(V_1\) to find the volume of 2.5 M nitric acid required to prepare 500 mL of 0.20 M solution.
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