What is the pH when 20 ml 0.1 M HCl is added to 100 ml 0.1M NaCN?
"HCl+NaCN \\Rightarrow HCN+ NaCl"
Now initially the moles of each:
"n_{HCl}=0.02\\times0.1=0.002 moles"
"n_{NaCN}=0.1\\times0.1=0.01moles"
from above we can see that HCl is a limiting reagent,so it consumes completely.
Hence after the reaction
"n_{HCl}=0"
"n_{NaCN}=" "0.01-0.002=0.008moles"
SO concentration of "NaCN=\\dfrac{n_{NaCN}}{Total volume}=\\dfrac{0.008}{0.02+0.1}=0.067M"
As "NaCN" is a base so it will gave us "P_{_{OH}}"
Hence "P_{OH}=-log[CN^-]"
"P_{OH}=-log[0.067]=1.17M"
So "P_{H}=14-1.17=12.83M"
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