Question

An aqueous solution of sodium hydroxide is standardized by titration with a 0.198 M solution of perchloric acid. If 17.5 mL of base are required to neutralize 15.2 mL of the acid, what is the molarity of the sodium hydroxide solution?

Answer 1

Answer:

The molarity of sodium hydroxide solution is 0.172 M

Explanation:

Step 1: Data given

Molarity of perchloric acid (HClO4) = 0.198 M

Volume of HClO4 = 15.2 mL = 0.0152 L

Volume of NaOH = 17.5 mL = 0.0175 L

Step 2: The balanced equation

HClO4 + NaOH → NaClO4 + H2O

Step 3: Calculate molarity of the sodium hydroxide solution

a*Cb*Vb = b*Ca*Va

⇒with a = the coefficient of HClO4 = 1

⇒with Cb = the molarity of NaOH = TO BE DETERMINED

⇒with Vb = the volume of NaOH = 0.0175 L

⇒with b = the coefficient of NaOH = 1

⇒with Ca = the molarity of HClO4 = 0.198 M

⇒with Va = the volume of HClO4 = 0.0152 L

Cb*0.0175 = 0.198 * 0.0152

Cb = 0.172 M

The molarity of sodium hydroxide solution is 0.172 M