# What is the volume of a sample of NaOH solution that contains 154 grams of NaOH and has a concentration of 0.55 M?

##### 1 Answer

7000

#### Explanation:

First we need to calculate the number of moles of NaOH in 154g. You do this using the following equation:

mol = mass / Mr

where mol = number of moles; mass = weight in grams; Mr = molecular weight

The Mr of NaOH can be calculated using the atomic weights (Ar) of sodium, oxygen, and hydrogen. These can be found on the periodic table.

Ar O = 15.999

Ar Na = 22.990

Ar H = 1.008

Adding these all together you get the Mr of NaOH:

Mr NaOH = 39.99

Then you substitute this into the equation to calculate the number of moles of NaOH:

no. mol NaOH = 154 g / 39.99

no. mol NaOH = 3.85 mol

To calculate the volume you use the following equation:

v = n/c

where c = concentration; n = no. of moles; v = volume

You substitute in the moles of NaOH that you calculated before, and the concentration of the solution 0.55 M (M =

v = 3.85 mol / 0.55

v = 7