1. Understand Molarity
* Molarity (M) is a unit of concentration that represents the number of moles of solute dissolved in 1 liter of solution.
* In this case, a 1 M NaOH solution means there's 1 mole of NaOH dissolved in 1 liter of solution.
2. Calculate the Mass of NaOH
* The molar mass of NaOH is approximately 40 g/mol (23 g/mol for Na + 16 g/mol for O + 1 g/mol for H).
* Since we have 1 mole of NaOH, the mass of NaOH in 1 liter of solution is 40 grams.
3. Consider the Volume and Density
* Density is mass per unit volume (usually grams per milliliter or g/mL).
* We know the mass of NaOH (40 grams) and the volume of the solution (1 liter or 1000 mL).
4. Calculate the Density
* Density = Mass / Volume
* Density = 40 grams / 1000 mL
* Density = 0.04 g/mL
Important Note: This calculation assumes that the volume of the solution is approximately equal to the volume of the water. In reality, dissolving NaOH in water causes a slight increase in volume. Therefore, the actual density of a 1 M NaOH solution will be slightly lower than 0.04 g/mL.
To get a more accurate density:
* You would need to experimentally measure the density of the solution using a density meter or a precise weighing method.
* You can find density tables or online resources that provide densities of various concentrations of NaOH solutions.
