Question

what is the final volume of the diluted solution when 25.0 ml of 5.0 m nacl is diluted to 2.0 m? ? ml

Explanation:

Step1: Recall 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.

Step2: Identify known values

We know that \( C_1 = 5.0 \, M \), \( V_1 = 25.0 \, mL \), and \( C_2 = 2.0 \, M \). We need to find \( V_2 \).

Step3: Rearrange formula to solve for \( V_2 \)

From \( C_1V_1 = C_2V_2 \), we can rearrange to \( V_2=\frac{C_1V_1}{C_2} \).

Step4: Substitute values into formula

Substitute \( C_1 = 5.0 \, M \), \( V_1 = 25.0 \, mL \), and \( C_2 = 2.0 \, M \) into the formula: \( V_2=\frac{5.0 \, M\times25.0 \, mL}{2.0 \, M} \).
First, calculate the numerator: \( 5.0\times25.0 = 125 \). Then divide by the denominator: \( \frac{125}{2.0}=62.5 \, mL \).

Answer:

\( 62.5 \)