Question

If 35.0 ml of 2.5 m solution are diluted to 82.5 ml, what is the final concentration

a) 1.25 M
b) 2.5 M
c) 1.06 M
d) 3.56 M

Answer 1

Applying the dilution equation with the provided initial concentration and volume values results in a final concentration of approximately 1.06 M after dilution. So, the correct option is (c).

Step-by-step explanation:

When diluting a solution, the initial concentration and volume are used to calculate the number of moles of solute, which remains constant during the dilution process. By applying the dilution equation (M1V1 = M2V2), we can determine the final concentration after dilution.

Using the given values:

To determine the final concentration after dilution, we can use the dilution equation:

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,

- V_2 is the final volume.

Given:

C_1 = 2.5 M (initial concentration),

V_1 = 35 ml (initial volume),

V_2 = 82.5 ml (final volume).

Let's plug these values into the dilution equation:

2.5 M×35.0 ml = C_2×82.5ml

Solving for C_2,

C_2 = (2.5 M)(35.0 mL) / 82.5 mL

C_2 = 87.5 / 82.5

C_2 ≈ 1.06 M