Titrimetric analysis?

A 15 ml sample of NaOH was titrated to a stoic point with 17.40ml of 0.2340 M HCl.
a. What is the molar concentration of the NaOH solution?
b. Calculate the gramsof NaOH in the solution

Answer:
The balanced equation is

NaOH + HCl >> NaCl + H2O

Therefore 1 mol of HCl reacts with
1mol NaOH stoichiometrically

Therefore

0.2340 moles HCl x 0.01740L = 4.072E-3 Mol HCl
...1L HCl

Considering there is a 1:1 mole ratio you have
4.072E-3 moles of NaOH

4.072Mol NaOH = 2.7E-1 M NaOH
..0.015L

Now for the number of grams:

4.072E-3 moles of NaOHx(39.9971gNaOH/1molNaOH)=

1.629E-1 grams of NaOH
The reaction can be written as:
NaOH + HCl ----> NaCl + H2O

So, we have one mole of NaOH reacting for each mole of HCl added. So, the number of moles of HCl reacted = 0.0174 * 0.234 = 4.0716 * 10^-3 moles


So, the number of moles of NaOH reacted = 4.0176*10^-3 moles
15 mL of the sample contains 4.0176*10^-3 moles.

a)
So, the molarity (number of moles in 1000 mL) = 4.0176*10^-3*1000/15 = 0.271 M

b)
The number of moles of NaOH in the solution = 4.0176*10^-3 moles
So, the number of grams of NaOH = Molecular wt * Number of moles = 40*4.0176 *10^-3=0.1607 grams

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