Question

a chemist must dilute 0.0752 l of 25.3 m aqueous silver perchlorate (agclo₄) solution until the concentration falls to 16.0 m. hell do this by adding distilled water to the solution until it reaches a certain final volume. calculate this final volume, in liters. be sure your answer has the correct number of significant digits.

Explanation:

Step1: Use the dilution formula

The dilution formula is \(C_1V_1 = C_2V_2\), where \(C_1 = 25.3\space M\), \(V_1=0.0752\space L\), \(C_2 = 16.0\space M\), and \(V_2\) is the final volume we want to find.

Step2: Rearrange the formula to solve for \(V_2\)

From \(C_1V_1 = C_2V_2\), we get \(V_2=\frac{C_1V_1}{C_2}\).
Substitute the values: \(V_2=\frac{25.3\times0.0752}{16.0}\).
First, calculate \(25.3\times0.0752 = 1.90256\).
Then, \(V_2=\frac{1.90256}{16.0}=0.11891\space L\).

Answer:

\(0.119\space L\)