# Question #ec70f

##### 1 Answer

#### Answer:

Molarity: **5 M**

#### Explanation:

I assume that you're dealing with a **20% w/v** solution, which would have **20 g** of sodium hydroxide *for every* **100 mL** of solution.

Since molarity is defined as moles of solute, in your case sodium hydroxide, divided by **liters of solution**, you need to use a sample of this solution to figure out how many moles of sodium hydroxide you would get per mole of solution.

To make the calculations easier, I'll use a **1-L** sample. This sample would contain

#1000color(red)(cancel(color(black)("mL solution"))) * "20 g NaOH"/(100color(red)(cancel(color(black)("mL solution")))) = "200 g NaOH"#

Use sodium hydroxide's molar mass to determine how many moles you'd get in this many grams

#200color(red)(cancel(color(black)("g"))) * "1 mole"/(40.0color(red)(cancel(color(black)("g")))) = "5.0 moles NaOH"#

Since the sample had a volume of **1-L**, its molarity will be

#C = n/V#

#C = "5.0 moles"/"1 L" = color(green)("5 M")#