Home / Aptitude Tests / Chemistry / In the reaction betw...
In the reaction between sodium hydroxide and tetraoxosulphat...

In the reaction between sodium hydroxide and tetraoxosulphate (VI) solutions, what volume of 0.5 molar sodium hydroxide would exactly neutralize 10cm\(^3\) of 1.25 molar tetraoxosulphate (vi) acid?

A.

25cm\(^3\)

B.

10cm\(^3\)

C.

20cm\(^3\)

D.

50cm\(^3\)

Correct answer is D

Equation of reaction : 2NaOH + H\(_2\)SO\(_4\) → Na\(_2\)SO\(_4\) + 2H\(_2\)O
Concentration of a base, CB = 0.5M
Volume of acid, V\(_A\) = 10cm\(^3\)
Concentration of an acid, C\(_A\) = 1.25M
Volume of base, V\(_B\) = ?
Recall:

\(\frac{C_A V_A}{C_B V_B} = \frac{n_A}{n_B}\) ... (1)

N.B: From the equation,

\(\frac{n_A}{n_B} = \frac{1}{2}\)

From (1)

\(\frac{1.25 \times 10}{0.5 \times V_B} = \frac{1}{2}\)

\(\frac{12.5}{0.5V_B} = \frac{1}{2}\)

25 = 0.5V\(_B\)
VB = 50.0 cm\(^3\)