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A 36.3 mL aliquot (sample) of 0.529 M [tex]$\text{H}_2\text{SO}_4$ (aq)[/tex] is to be titrated with 0.0411 M [tex]$\text{NaOH}$[/tex]. What volume of base will it take to reach the equivalence point?

Answer :

Explanation:

Sulfuric acid ([tex]H_{2}SO_{4}[/tex]) is a diprotic acid. So, it means that we need twice as much NaOH.

As we known that an equivalence point is reached when moles of an acid equals the moles of a base.

As moles of [tex]H_{2}SO_{4}[/tex] is calculated as follows.

[tex]36.3 mL \times \frac{1 L}{1000 mL} \times 0.0529 M H_{2}SO_{4}[/tex] = 0.00192 moles of [tex]H_{2}SO_{4}[/tex]

Therefore, moles of NaOH needed will be as follows.

[tex]2 \times 0.00192 moles[/tex]

= 0.00384 mol

Hence, volume of NaOH is calculated as follows.

[tex]\frac{1000 mL}{1 L} \times \frac{0.00384 moles}{0.0411 M NaOH}[/tex]

= 93.43 mL

Thus, we can conclude that the volume of base required to reach the equivalence point is 93.43 mL.

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Rewritten by : Barada

Answer: 934.4 ml

Explanation:

According to the neutralization law,

[tex]n_1M_1V_1=n_2M_2V_2[/tex]

where,

[tex]M_1[/tex] = molarity of [tex]H_2SO_4[/tex] solution = 0.529 M

[tex]V_1[/tex] = volume of [tex]H_2SO_4[/tex] solution = 36.3 ml

[tex]M_2[/tex] = molarity of [tex]NaOH[/tex] solution = 0.0411 M

[tex]V_2[/tex] = volume of [tex]NaOH[/tex] solution = ?

[tex]n_1[/tex] = valency of [tex]H_2SO_4[/tex] = 2

[tex]n_2[/tex] = valency of [tex]NaOH[/tex] = 1

[tex]2\times 0.529M\times 36.3=1\times 0.0411\times V_2[/tex]

[tex]V_2=934.4ml[/tex]

Therefore, the volume of the base required to reach the equivalence point is 934.4 ml