Answer:
15mL
Step-by-step explanation:
Step 1:
Data obtained from the question
This includes the following:
Molarity of the base (Mb) = 3M
Volume of base (Vb) =.?
Volume of acid (Va) = 30mL
Molarity of the acid (Ma) = 0.75M
Step 2:
The balanced equation for the reaction.
H2SO4 + 2NaOH —> Na2SO4 + 2H2O
From the balanced equation above,
The mole ratio of the acid (nA) = 1
The mole ratio of the base (nB) = 2
Step 3:
Determination of the volume of the base.
This can be achieved as follow:
MaVa/MbVb = nA /nB
0.75 x 30 / 3 x Vb = 1/2
Cross multiply
3 x Vb = 0.75 x 30 x 2
Divide both side by 2
Vb = (0.75 x 30 x 2) /3
Vb = 15mL
Therefore, the volume of the base needed is 15mL.