1. To find the volume and units of a solution that contains 0.50 moles of NaOH dissolved in enough distilled water to make 3.0 M NaOH solution:
We first need to use the formula:
moles = concentration (in moles/L) x volume (in L)
Rearranging the formula to solve for volume, we get:
volume = moles / concentration
Substituting the given values, we get:
volume = 0.50 moles / 3.0 M = 0.17 L
Since the volume is given in liters, the units of the solution are L. Therefore, the solution contains 0.50 moles of NaOH dissolved in 0.17 L of distilled water, which makes a 3.0 M NaOH solution.
2. To find the molarity of a solution that contains 60.0 g of Ca(OH)2 dissolved in 150 mL of solution:
We first need to convert the mass of Ca(OH)2 to moles using the molar mass:
molar mass of Ca(OH)2 = 40.08 g/mol + 2 x 16.00 g/mol + 2 x 1.01 g/mol = 74.10 g/mol
moles of Ca(OH)2 = 60.0 g / 74.10 g/mol = 0.810 moles
Next, we need to convert the volume of the solution from milliliters to liters:
volume of solution = 150 mL / 1000 mL/L = 0.150 L
Finally, we can use the formula:
molarity = moles / volume
Substituting the given values, we get:
molarity = 0.810 moles / 0.150 L = 5.4 M
Therefore, the molarity of the solution is 5.4 M.