Answer to Question #192132 in General Chemistry for Yasemin

Question #192132

What is the pH when 20 ml 0.1 M HCl is added to 100 ml 0.1M NaCN?


1
Expert's answer
2021-05-17T04:19:57-0400

HCl+NaCNHCN+NaClHCl+NaCN \Rightarrow HCN+ NaCl


Now initially the moles of each:

nHCl=0.02×0.1=0.002molesn_{HCl}=0.02\times0.1=0.002 moles

nNaCN=0.1×0.1=0.01molesn_{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

nHCl=0n_{HCl}=0

nNaCN=n_{NaCN}= 0.010.002=0.008moles0.01-0.002=0.008moles


SO concentration of NaCN=nNaCNTotalvolume=0.0080.02+0.1=0.067MNaCN=\dfrac{n_{NaCN}}{Total volume}=\dfrac{0.008}{0.02+0.1}=0.067M


As NaCNNaCN is a base so it will gave us POHP_{_{OH}}


Hence POH=log[CN]P_{OH}=-log[CN^-]


POH=log[0.067]=1.17MP_{OH}=-log[0.067]=1.17M


So PH=141.17=12.83MP_{H}=14-1.17=12.83M



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