Answer:
the molarity of the solution would be 10.0 M if 80.0 grams of NaOH were added to 200 milliliters of water.
Step-by-step explanation:
To calculate the molarity of a solution, we can use the formula:
Molarity = moles of solute / volume of solution in liters
First, we need to calculate the moles of sodium hydroxide (NaOH) in the given mass:
moles NaOH = mass of NaOH / molar mass of NaOH
The molar mass of NaOH is 40.00 g/mol (the atomic mass of Na is 22.99 g/mol, the atomic mass of O is 15.99 g/mol, and the atomic mass of H is 1.01 g/mol).
For 52 g NaOH:
moles NaOH = 52 g / 40.00 g/mol = 1.30 mol
Now, we can calculate the molarity of the solution:
Molarity = moles NaOH / volume of solution in liters
We don't know the volume of the solution for the first case, so we cannot calculate the molarity.
For the second case, we have 80.0 g NaOH and 200 mL of water. We need to convert the volume to liters:
200 mL = 0.200 L
Now, we can calculate the moles of NaOH:
moles NaOH = 80.0 g / 40.00 g/mol = 2.00 mol
Finally, we can calculate the molarity of the solution:
Molarity = moles NaOH / volume of solution in liters
Molarity = 2.00 mol / 0.200 L
Molarity = 10.0 M
Therefore, the molarity of the solution would be 10.0 M if 80.0 grams of NaOH were added to 200 milliliters of water.