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Question
30 formula 3 points
how many ml of a 12.0 m stock solution do you need to make 480 ml of a 1.8 stock solution? answer to the 10th place.
answer
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Step1: Use the dilution formula
The dilution formula is \(C_1V_1 = C_2V_2\), where \(C_1\) is the initial concentration, \(V_1\) is the initial volume, \(C_2\) is the final concentration, and \(V_2\) is the final volume.
We are given \(C_1 = 12.0\space M\), \(C_2=1.8\space M\), and \(V_2 = 480\space mL\). We need to find \(V_1\).
Step2: Rearrange the formula to solve for \(V_1\)
From \(C_1V_1 = C_2V_2\), we can solve for \(V_1\) as \(V_1=\frac{C_2V_2}{C_1}\)
Substitute the given values: \(V_1=\frac{1.8\times480}{12.0}\)
First, calculate \(1.8\times480 = 864\)
Then, \(V_1=\frac{864}{12.0}=72.0\)
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\(72.0\space mL\)