Question

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

part 2 of 2
144 ml of a 1.90 m solution. be sure your answer has the correct number of significant figures.

Explanation:

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

For the first part (Part 1 of 2):
\(C_1 = 10.0\space M\), \(C_2=0.910\space M\), \(V_2 = 0.647\space L=647\space mL\)
We need to find \(V_1\).
From \(C_1V_1 = C_2V_2\), we can solve for \(V_1\) as \(V_1=\frac{C_2V_2}{C_1}\)
Substitute the values: \(V_1=\frac{0.910\times647}{10.0}\)
\(V_1 = 58.9\space mL\)

Step2: Use the dilution formula \(C_1V_1 = C_2V_2\)

For the second part (Part 2 of 2):
\(C_1 = 10.0\space M\), \(C_2 = 1.90\space M\), \(V_2=144\space mL\)
From \(C_1V_1 = C_2V_2\), solve for \(V_1\) as \(V_1=\frac{C_2V_2}{C_1}\)
Substitute the values: \(V_1=\frac{1.90\times144}{10.0}\)
\(V_1 = 27.4\space mL\)

Answer:

Part 1 of 2: \(58.9\space mL\)
Part 2 of 2: \(27.4\space mL\)