Question

What volume of a 0.452 m naoh solution is needed to neutralize 85.0 ml of a 0.176 m solution of h2so4?

Answer 1

Answer : The volume of
`NaOH` needed is, 45.4 mL

Explanation :

To calculate the volume of base, we use the equation given by neutralization reaction:

`n_1M_1V_1=n_2M_2V_2`

where,

`n_1,M_1\text{ and }V_1` are the n-factor, molarity and volume of acid which is
`H_2SO_4`

`n_2,M_2\text{ and }V_2` are the n-factor, molarity and volume of base which is NaOH.

We are given:

`n_1=2\\M_1=0.176M\\V_1=85.0mL\\n_2=1\\M_2=0.452M\\V_2=?`

Putting values in above equation, we get:

`2* 0.176M* 58.0mL=1* 0.450M* V_2\\\\V_2=45.4m:`

Hence, the volume of
`NaOH` needed is, 45.4 mL

Answer 2

H2SO4 + 2 NaOH ----> Na2SO4 + 2 H2O.

0.085 L * 0.176 mol/L = 0.01496 mol H2SO4

is neutralised by 0.01496 mol * 2

= 0.02992 mol NaOH.

1000 mL of 0.492 M NaOH

contains 0.492 moles NaPH.

0.02992 / 0.452 * 1000 mL

= 66.19 = 66 mL