What volume of 0.5M H2SO4 will exactly neutralize 20cm3 of 0.1M NaOH Solution?

A.

2.0cm 3

B.

5.0cm 3

C.

6.8cm 3

D.

8.3cm 3

Correct answer is A

The balanced equation is given as:

\(H_{2}SO_{4} + 2NaOH \to Na_{2}SO_{4} + 2H_{2}O\)

Molarity of \(NaOH = 0.1M\)

Volume of \(NaOH = 20cm^{3}\)

Molarity of \(H_{2}SO_{4} = 0.5M\)

mol NaOH = \(0.1 \times 20cm^{3} = 2molNaOH\)

⇒ \(2mol NaOH \times \frac{1mol H_{2}SO_{4}}{2mol NaOH} = 1 mol H_{2}SO_{4}\)

\(volume of H_{2}SO_{4} = \frac{mole of H_{2}SO_{4}}{molarity of H_{2}SO_{4}}\)

= \(\frac{1 mole}{0.5 M} = 2cm^{3} H_{2}SO_{4}\)