Sure! Let's work through the steps to calculate the number of moles of sodium hydroxide (NaOH) in 2 grams.
### Step 1: Determine the Molar Mass of NaOH
The molar mass of a compound can be found by summing the atomic masses of each element that composes the compound.
1. Atomic mass of sodium (Na) = 22.99 g/mol
2. Atomic mass of oxygen (O) = 16.00 g/mol
3. Atomic mass of hydrogen (H) = 1.01 g/mol
So, the molar mass of NaOH is:
[tex]\[ \text{Molar mass of NaOH} = 22.99 \, \text{g/mol} + 16.00 \, \text{g/mol} + 1.01 \, \text{g/mol} = 40.00 \, \text{g/mol} \][/tex]
### Step 2: Calculate the Number of Moles
The number of moles ([tex]\( n \)[/tex]) in a given mass of a substance can be calculated using the formula:
[tex]\[ n = \frac{m}{M} \][/tex]
where:
- [tex]\( m \)[/tex] is the mass of the substance in grams,
- [tex]\( M \)[/tex] is the molar mass in grams per mole.
Given:
- Mass of NaOH ( [tex]\( m \)[/tex] ) = 2 grams
- Molar mass of NaOH ( [tex]\( M \)[/tex] ) = 40.00 g/mol
Therefore, the number of moles of NaOH is:
[tex]\[ n = \frac{2 \, \text{g}}{40.00 \, \text{g/mol}} = 0.05 \, \text{moles} \][/tex]
### Conclusion
The number of moles of sodium hydroxide (NaOH) in 2 grams is 0.05 moles.
