Question

how many milliliters of a 10.0 m sucrose solution would be needed to prepare each solution?
0.647 l of a 0.900 m solution. be sure your answer has the correct number of significant figures.
your answer
part 1 of 2
part 2 of 2

Explanation:

Step1: Use the dilution formula \(C_1V_1 = C_2V_2\)

Here, \(C_1 = 10.0\space M\) (initial concentration), \(C_2=0.900\space M\) (final concentration), and \(V_2 = 0.647\space L=647\space mL\) (final volume). We need to find \(V_1\).

Step2: Rearrange the formula to solve for \(V_1\)

\(V_1=\frac{C_2V_2}{C_1}\)
Substitute the values: \(V_1=\frac{0.900\space M\times647\space mL}{10.0\space M}\)

Step3: Calculate the value

\(V_1=\frac{582.3}{10.0}=58.2\space mL\) (rounded to three significant figures)

Answer:

\(58.2\space mL\)