How many moles are in NaOH?

Understand the Problem

The question is asking for the number of moles present in sodium hydroxide (NaOH). To determine this, we generally need to know the mass of NaOH in grams or the volume of the solution in liters along with its concentration (molarity).

Answer

The number of moles of sodium hydroxide is $0.2$ moles.

Steps to Solve

Identify known values To find the number of moles, we need either the mass of sodium hydroxide (NaOH) in grams or the volume and concentration of the solution.
Use the moles formula If we have the mass (let's assume it's given as ( m ) grams), we can calculate the moles using the formula: $$ \text{moles} = \frac{m}{M} $$ where ( M ) is the molar mass of sodium hydroxide.
Calculate molar mass of NaOH We need to calculate the molar mass of NaOH:

Sodium (Na): approximately 23 g/mol
Oxygen (O): approximately 16 g/mol
Hydrogen (H): approximately 1 g/mol

So, the molar mass ( M ) is given by: $$ M = 23 + 16 + 1 = 40 \text{ g/mol} $$

Plug values into the moles formula Now, substituting the known values into the moles formula: $$ \text{moles} = \frac{m}{40} $$
Calculate total moles If we have a specific mass of NaOH (for instance, ( m = 8 ) grams), we calculate the moles as follows: $$ \text{moles} = \frac{8}{40} = 0.2 \text{ moles} $$

The number of moles of sodium hydroxide, if ( m = 8 ) grams, is $0.2$ moles.

More Information

Sodium hydroxide (NaOH) is a strong base used in various applications, including pH adjustment, soap making, and drain cleaning. Understanding how to convert mass to moles is fundamental in chemistry for stoichiometric calculations.

Tips

Forgetting to convert grams to moles using the correct molar mass.
Mixing up the formula for moles, which can lead to incorrect calculations. Always remember the formula: $\text{moles} = \frac{\text{mass}}{\text{molar mass}}$.

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