For the reaction $Cr_{2}O_{7}^{2-} + 14H^{+} + 6e^{-} \rightarrow 2Cr^{3+} + 7H_{2}O$,the standard electrode potential is $E^{\circ} = 1.33 \ V$. Given the concentrations $[Cr_{2}O_{7}^{2-}] = 4.5 \ mmol$,$[Cr^{3+}] = 15 \ mmol$,and the cell potential $E = 1.067 \ V$,the $pH$ of the solution is nearly equal to:

  • A
    $03$
  • B
    $04$
  • C
    $02$
  • D
    $05$

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Derive an equation for the equilibrium constant $K_C$ of any galvanic cell (redox reaction) and also state its uses.

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What is the potential of a hydrogen electrode in contact with a solution whose $pH$ is $1$ (in $V$)?

Calculate the potential of a hydrogen electrode in contact with a solution whose $pH = 10$.

Which graph correctly correlates $E_{cell}$ as a function of concentrations for the cell (for different values of $M$ and $M'$):-
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$X$-axis : $log_{10} \frac{[Zn^{2+}]}{[Cu^{2+}]}$,$Y$-axis : $E_{cell}$

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