A solution contains $10 \mathrm{~mL} 0.1 \mathrm{~N} \mathrm{NaOH}$ and $10 \mathrm{~mL}$ $0.05 \mathrm{~N}…

A solution contains $10 \mathrm{~mL} 0.1 \mathrm{~N} \mathrm{NaOH}$ and $10 \mathrm{~mL}$ $0.05 \mathrm{~N} \mathrm{H}_{2} \mathrm{SO}_{4}, \mathrm{pH}$ of this solution is :
  1. less than 7
  2. 7
  3. zero
  4. greater than 7

Solution

milliequivalent of \(\mathrm{NaOH}=10 \times 0.1=1\) milliequivalent of \(\mathrm{H}_2 \mathrm{SO}_4=10 \times 0.05=0.5\) Left milliequivalent of \(\mathrm{NaOH}=1-0.5=0.5 \mathrm{M}\) \(\therefore\left[\mathrm{OH}^{-}ight]=\frac{0.5}{10+10}=2.5 \times 10^{-2}\) we know the relation \(\mathrm{pOH}=-\log \left[\mathrm{OH}^{-}ight]=-\log \left(2.5 \times 10^{-2}ight)=1.6020\) Also, \(\begin{aligned} & \mathrm{pH}=14-\mathrm{pOH} \\ & \mathrm{pH}=14-1.6020=12.398 \end{aligned}\) /

Asked in: JEE-TOPICTESTS-CHEMISTRY

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