Final answer:
The molarity of NaOH in the given solution is 0.00667 M.
Step-by-step explanation:
In a titration, the molarity of the acid can be determined using the stoichiometry of the acid-base reaction. In this case, 150 mL of 1.0 M HCl is neutralized by 25 mL of NaOH solution. The balanced equation for the reaction is: HCl + NaOH -> NaCl + H2O.
From the balanced equation, we can see that 1 mole of HCl reacts with 1 mole of NaOH. Therefore, the moles of NaOH used can be calculated as follows:
Moles of NaOH = (volume of NaOH in liters) * (molarity of NaOH)
Using the given values, we can calculate:
Moles of NaOH = (25 mL / 1000 mL/L) * (Molarity of NaOH)
Since the volume is given in mL, it needs to be converted to liters by dividing by 1000. Now we can substitute the given values into the equation to find the molarity of NaOH:
Moles of NaOH = (25 / 1000) * (1.0 / 150)
Moles of NaOH = 0.0001667
To find the molarity, divide the moles of NaOH by the volume in liters:
Molarity of NaOH = 0.0001667 moles / (25 / 1000) L
Molarity of NaOH = 0.00667 M