Calculate the potential for half cell containing \( 0.10 \mathrm{MK}_{2} \mathrm{Cr}_{2} \mathrm...

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Calculate the potential for half cell containing \( 0.10 \mathrm{MK}_{2} \mathrm{Cr}_{2} \mathrm{O}_{7}(a q), 0.20 \mathrm{MCr}^{3+}(a q) \) and \( 1.0 \times 10^{-4} \mathrm{MH}^{+}(a q) \). The half cell reaction is and the standard electrode potential is given as \( E^{\circ}=1.33 \mathrm{~V} \)
\[
\mathrm{Cr}_{2} \mathrm{O}_{7}^{2-}(a q)+14 \mathrm{H}^{+}(a q)+6 e^{-} \rightarrow 2 \mathrm{Cr}^{3+}(a q)+7 \mathrm{H}_{2} \mathrm{O}(l)
\]
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