At 25°C,E° = +1.88 V for a cell based on the reaction 3 AgCl(s)+ Al(s)→ 3 Ag(s)+ Al³⁺(aq)+ 3 Cl^-(aq). Find the cell potential E if [Al³⁺] = 0.20 M and [Cl^-] = 0.010 M. A)+2.01 V B)+2.04 V C)+2.28 V D)cannot be calculated without the amounts of AgCl,Al,and Ag

Question

Quizplus · Accepted Answer

The Nernst equation can be used to calculate the cell potential with non-standard concentration of reactants and products. The equation is:

E = E° - (RT/nF) ln(Q)

where E° is the standard cell potential, R is the gas constant, T is the temperature in kelvin, n is the number of electrons transferred in the reaction, F is Faraday's constant, and Q is the reaction quotient.

For the given reaction, n = 3 because three electrons are transferred. Using the given values, we get:

E = 1.88 - (0.0257/3) ln((0.010)^3/(0.20)^3) = 2.01 V

Therefore, the correct answer is A, +2.01 V.