Question #50893

What is Eo for the cell Ag l AgBr(s) I Br- (a1), Fe3+ (a2), Fe2+ (a3) l Pt . Given : Standard half-cell reduction potentials as
AgBr l Ag, (Eo)1/2 = 0.0713 V, Fe3+ l Fe2+, (Eo)1/2 = 0.771 V.
If a1 = 0.34, a2 = 0.1 & a3 = 0.02, then find Q, the reaction Quotient is Q = 0.588. Hence find E for the cell.

Expert's answer

Question #50893, Chemistry, Physical Chemistry

What is Eo for the cell Ag | AgBr(s) | Br⁻ (a1), Fe³⁺ (a2), Fe²⁺ (a3) | Pt. Given: Standard half-cell reduction potentials as

AgBr | Ag, (Eo)1/2 = 0.0713 V, Fe³⁺ | Fe²⁺, (Eo)1/2 = 0.771 V.

If a1 = 0.34, a2 = 0.1 & a3 = 0.02, then find Q, the reaction Quotient is Q = 0.588. Hence find E for the cell.

Answer:


E=E0+0.592nlg⁡(aox/ared)E = E _ {0} + \frac {0 . 5 9 2}{n} \lg \left(a _ {\mathrm {o x}} / a _ {\mathrm {r e d}}\right)E1=0.0713+0.592∗lg⁡(0.34)=−0.2Vn=1E _ {1} = 0. 0 7 1 3 + 0. 5 9 2 ^ {*} \lg (0. 3 4) = - 0. 2 \mathrm {V} \quad n = 1E2=0.771+0.592∗lg⁡(0.02/0.1)=0.357Vn=1E _ {2} = 0. 7 7 1 + 0. 5 9 2 ^ {*} \lg (0. 0 2 / 0. 1) = 0. 3 5 7 \mathrm {V} \quad n = 1E=E1−E2=−0.2−0.357=−0.557VE = E _ {1} - E _ {2} = - 0. 2 - 0. 3 5 7 = - 0. 5 5 7 \mathrm {V}


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