Question

1. starting with 50 ml of a 0.5 m solution, perform a 1:5 dilution. what is the final concentration?
2. you have 10 ml of a 2.5 m solution. perform a 1:25 dilution. what is the final concentration?

Explanation:

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

For a dilution ratio \(1:n\), \(V_2=nV_1\).

Step2: Solve for \(C_2\)

\(C_2=\frac{C_1V_1}{V_2}\). Since \(V_2 = nV_1\), \(C_2=\frac{C_1}{n}\)

For problem 3:

• \(C_1 = 0.5\space M\), \(n = 5\) (for \(1:5\) dilution)

\(C_2=\frac{0.5}{5}= 0.1\space M\)

For problem 4:

• \(C_1=2.5\space M\), \(n = 25\) (for \(1:25\) dilution)

\(C_2=\frac{2.5}{25}=0.1\space M\)

Answer:

1. \(0.1\space M\)
2. \(0.1\space M\)