Question

How many milliliters of 4.0 M NaOH solution are required to make 2.0 liters of a 0.02 M solution?

A) 0.01 mL
B) 10 mL
C) 1 x 10⁻⁵ mL
D) 20 mL
E) 40 mL

Answer 1

To make a 0.02 M NaOH solution, 10 mL of a 4.0 M NaOH solution is required.

Step-by-step explanation:

To determine the amount of milliliters of a 4.0 M NaOH solution needed to make a 2.0 liter 0.02 M solution, we can use the equation:

M1V1 = M2V2

Where M1 is the initial concentration, V1 is the initial volume, M2 is the final concentration, and V2 is the final volume.

Substituting the given values, we have:

(4.0 M)(V1) = (0.02 M)(2.0 L)

Solving for V1, we get:

V1 = (0.02 M)(2.0 L) / (4.0 M) = 0.01 L = 10 mL

Therefore, the correct answer is B) 10 mL.

Answer 2

Therefore, the amount of 4.0 M NaOH solution required to make 2.0 liters of a 0.02 M solution is 10 mL (option B).

Step-by-step explanation:

To solve this, we can use the formula for dilution:

C1V1 = C2V2

Where:

C1 = concentration of the initial solution

V1 = volume of the initial solution

C2 = concentration of the final solution

V2 = volume of the final solution

C1 = 4.0 M (concentration of the 4.0 M NaOH solution)

C2 = 0.02 M (concentration of the final solution)

V2 = 2.0 liters (volume of the final solution)

Let's calculate V1:

C1V1 = C2V2

V1 = (C2 * V2) / C1

V1 = (0.02 M * 2.0 L) / 4.0 M

V1 = (0.04 mol) / 4.0 mol/L

V1 = 0.01 L = 10 mL

Therefore, the amount of 4.0 M NaOH solution required to make 2.0 liters of a 0.02 M solution is 10 mL (option B).