Chhattisgarh PMT Chhattisgarh PMT Solved Paper-2007

  • question_answer
    The standard emf of a galvanic cell involving cell reaction with \[n=2\] is found to be \[0.295\text{ }V\]at \[{{25}^{o}}C\]. The equilibrium constant of the reaction would be

    A)  \[2.0\times {{10}^{11}}\]        

    B)  \[4.0\times {{10}^{12}}\]

    C)  \[1.0\times {{10}^{2}}\]        

    D)  \[1.0\times {{10}^{10}}\] (Given,\[F=96500\text{ }C\text{ }mo{{l}^{-1}};\] \[R=8.314\text{ }J{{K}^{-1}}\text{ }mo{{l}^{-1}}\])

    Correct Answer: D

    Solution :

    \[E_{cell}^{o}=\frac{0.059}{n}\log \,{{K}_{c}}\] Given, \[n=2\] \[{{E}^{o}}=0.295V\]                 \[\Rightarrow \]               \[0.295=\frac{0.059}{2}\log {{K}_{c}}\]                 \[\Rightarrow \]               \[\frac{0.295\times 2}{0.059}=\log {{K}_{c}}\]                 \[\Rightarrow \]               \[10=\log {{K}_{c}}\]                 \[\therefore \]  \[{{K}_{c}}=1\times {{10}^{10}}\]


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