1. Understand Molarity
Molarity (M) is a unit of concentration that represents moles of solute per liter of solution.
2. Calculate Moles of NaOH
* Molarity = moles of solute / liters of solution
* We know the molarity (1.53 M) and the volume (3.87 L). We can rearrange the equation to solve for moles:
* moles of NaOH = Molarity * liters of solution
* moles of NaOH = 1.53 M * 3.87 L = 5.92 moles of NaOH
3. Calculate Mass of NaOH
* We need the molar mass of NaOH. The molar mass is the sum of the atomic masses of each element in the compound:
* Na: 22.99 g/mol
* O: 16.00 g/mol
* H: 1.01 g/mol
* Molar mass of NaOH = 22.99 + 16.00 + 1.01 = 40.00 g/mol
* Now we can convert moles of NaOH to grams:
* mass of NaOH = moles of NaOH * molar mass of NaOH
* mass of NaOH = 5.92 moles * 40.00 g/mol = 236.8 g
Therefore, there are 236.8 grams of NaOH present in the solution.