Final answer:
The concentration of NaOH in the solution is 0.125 M, calculated by dividing the number of moles of NaOH (0.200 mol) by the volume of the solution (1.60 L).
Step-by-step explanation:
To determine the concentration of NaOH in the solution, we use the formula for molarity, which is moles of solute divided by liters of solution. In this case, the first solution contains 0.200 mol of NaOH in 1.60 L of solution. Using the formula Molarity (M) = moles of solute / liters of solution, we get:
M = 0.200 mol / 1.60 L
By performing the division, we find the concentration of NaOH to be 0.125 M (moles per liter).
Dimensional analysis is a method often used to convert concentration of a substance into moles using a known volume, but in this problem we are directly calculating molarity without needing more complex conversions. To extend our understanding, if we performed a titration experiment where 0.64 mol/L of NaOH was required to neutralize a known volume of HCl, this concentration would represent the molarity of the NaOH solution used.