Question

The molarity of a sodium hydroxide solution is 0.2 M. The molar mass of NaOH is 40 g/mol. If 20 g of sodium hydroxide (NaOH) is dissolved in water in this solution, what is the volume of the solution?

A) 0.4 L
B) 0.25 L
C) 4.0 L
D) 2.5 L

Answer 1

To find the volume of the solution, we need to use the formula for molarity. First, we need to find the moles of NaOH. Now, let's substitute the values into the molarity formula and solve for volume.

Step-by-step explanation:

To find the volume of the solution, we need to use the formula for molarity:

Molarity (M) = Moles of Solute / Volume of Solution (in liters)

First, we need to find the moles of NaOH. The molar mass of NaOH is 40 g/mol. We have 20 g of NaOH, so we can calculate the moles:

20 g NaOH * (1 mol NaOH / 40 g NaOH) = 0.5 moles NaOH

Now, let's substitute the values into the molarity formula:

0.2 M = 0.5 moles NaOH / Volume (in liters)

Rearranging the formula to solve for volume:

Volume (in liters) = 0.5 moles NaOH / 0.2 M

Volume (in liters) = 2.5 L