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Question
Electrode potential for Mg electrode varies according to the equation
`E_(Mg^(2+) | Mg) = E_(Mg^(2+) | Mg)^Θ - 0.059/2 log 1/([Mg^(2+)])`. The graph of `E_(Mg^(2+) | Mg)` vs `log [Mg^(2+)]` is ______.
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Solution
Electrode potential for Mg electrode varies according to the equation
`E_(Mg^(2+) | Mg) = E_(Mg^(2+) | Mg)^Θ - 0.059/2 log 1/([Mg^(2+)])`. The graph of `E_(Mg^(2+) | Mg)` vs `log [Mg^(2+)]` is a straignt line with a positive slope and intercept `E_((Mg^(2+))/(Mg)`.

Explanation:
`E_(Mg^(2+) | mg) = E_(Mg^(2+) | Mg)^Θ - 0.059/2 log [Mg^(2+)]`
Compare this equation with the equation of straingt line y = mx + c.
The graph of `E_(Mg^(2+) | Mg)` versus `log [Mg^(2+)]` is a straignt line with a positive slope and intercept `E_((Mg^(2+))/(Mg)`.
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