Answer:
Option 3. 0.50M
Step-by-step explanation:
Step 1 :
We'll begin by writing the balanced equation for the reaction. This is given below:
2NaOH + H2SO4 —> Na2SO4 + 2H2O
From the above equation, we obtained the following:
Mole ratio of the acid (nA) = 1
Mole ratio of the base (nB) = 2
Step 2:
Data obtained from the question. This includes the following:
Molarity of base (Mb) =?
Volume of base (Vb) = 24 mL
Volume of acid (Va) = 12 mL
Molarity of acid (Ma) = 0.50M
Step 3:
Determination of the molarity of the base.
The molarity of the base can be obtained by applying the following equation:
MaVa/MbVb = nA/nB
0.5 x 12/Mb x 24 = 1/2
Cross multiply to express in linear form
Mb x 24 = 0.5 x 12 x 2
Divide both side by 24
Mb = (0.5 x 12 x 2) /24
Mb = 0.5 M
Therefore, the molarity of NaOH is 0.5 M