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Question

What volume of 0.151 N NaOH0.151~N\mathrm{~NaOH} is required to neutralize 24.2 mL24.2\mathrm{~mL} of 0.125 N H2SO40.125~N\mathrm{~H}_2\mathrm{SO}_4? What volume of 0.151 N NaOH0.151~N\mathrm{~NaOH} is required to neutralize 24.1 mL24.1 \mathrm{~mL} of 0.125 M H2SO40.125~M\mathrm{~H}_2 \mathrm{SO}_4?

Solution

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We know that for neutralization, equiv (acid) = equiv (base),

Nacid×Vacid=Nbase×VbaseVbase=Nacid×VacidNbase\begin{align*} N_{\text{acid}}\times V_{\text{acid}} = N_{\text{base}}\times V_{\text{base}}\\ V_{\text{base}} = \dfrac{N_{\text{acid}}\times V_{\text{acid}}}{N_{\text{base}}} \end{align*}

Now we can substitute the given values, H2SO4\mathrm{H_2SO_4}, Nacid=0.125  N,  Vacid=24.2  mLN_{\text{acid}}=0.125\;N,\;V_{\text{acid}}=24.2\;\text{mL}, and NaOH, Nbase=0.151  NN_{\text{base}}=0.151\;N into the equation.

Vbase=Nacid×VacidNbase=0.125  N×24.2 mL0.151  N=20.033 mL\begin{align*} V_{\text{base}} &= \dfrac{N_{\text{acid}}\times V_{\text{acid}}}{N_{\text{base}}}\\ &=\dfrac{0.125\;N\times 24.2\text{ mL}}{0.151\;N}=20.033\text{ mL} \end{align*}

So 20.033 mL of 0.151 NN NaOH is required to neutralize exactly 24.2 mL of 0.125 NN H2SO4\mathrm{H_2SO_4}

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