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
A.
B.
C.
D.

Answer 1

Electrode potential for Mg electrode varies according to the equation
`E_(Mg^(2+)//Mg)=E_(Mg^(2+)//Mg)^(@)-(0.059)/(2)"log"(1)/([ Mg^(2+)])`
`E_(Mg^(2+)//Mg=E_(Mg^(2+)//Mg)^(@))+(0.059)/(2)"log"[Mg^(2+)]`
`E_(Mg^(2+)//Mg)=(0.059)/(2)"log"[Mg^(2+)]+E_(Mg^(2+)//Mg)^(@)`
This equation represents equation of straight line. it can be corelated as
`E_(Mg^(2+)//Mg)=((0.059)/(2))"log"[Mg^(2+)]+E_(Mg^(2+)//Mg)^(@)`
`uparrow uparrow uparrow uparrow`
Y M X `+C`
So intercept `(C)=E_(Mg^(2+)//Mg)^(@)`
Thus, equation can be diagramatically represented as