Solveeit Logo

Question

Question: Given : \(E_{Cr^{3 +}/Cr}^{0} = - 0.72,E_{Fe^{2 +}/Fe}^{0} = - 0.42V\)The potential for the cell \(...

Given : ECr3+/Cr0=0.72,EFe2+/Fe0=0.42VE_{Cr^{3 +}/Cr}^{0} = - 0.72,E_{Fe^{2 +}/Fe}^{0} = - 0.42VThe

potential for the cell Cr  Cr3+(0.1 M)  Fe2+(0.01 M) \text{Cr }|\text{ C}\text{r}^{\text{3+}}(\text{0.1 M})\ ||\text{ F}\text{e}^{\text{2+}}(\text{0.01 M})\ | Fe at 298 K is : (Take2.303R(298)F=0.06)(Take\frac{2.303R(298)}{F} = 0.06)

A

0.339 V

B

– 0.339 V

C

– 0.26 V

D

0.26 V

Answer

0.26 V

Explanation

Solution

Ecell=E0cell0.0596log[Cr+3]2[Fe+2]3E_{cell} = E^{0}cell - \frac{0.059}{6}\log\frac{\left\lbrack Cr^{+ 3} \right\rbrack^{2}}{\left\lbrack Fe^{+ 2} \right\rbrack^{3}}

= 0.3 - 0.0566log(0.1)2(0.01)3= 0.3 - 0.04\text{= 0.3 - }\frac{\text{0.056}}{6}\text{log}\frac{\left( \text{0.1} \right)^{2}}{(0.01)^{3}}\text{= 0.3 - 0.04}

= 0.26 V\text{= 0.26 V}