Consider the following cell:
Pt|H₂(g,1 atm) |H⁺(aq,? M) M Ag⁺(aq,1.0 M) |Ag(s)
If the voltage of this cell is 1.04 V at25^$\omicron$C and the standard potential of the Ag⁺/Ag couple is +0.80 V,Calculate the hydrogen ion concentration in the anode compartment.

Question

Quizplus · Accepted Answer

The Nernst equation can be used to calculate the hydrogen ion concentration in the anode compartment:
Ecell = E°cell - (RT/nF)ln(Q)
1.04 V = 0.80 V - (0.0257 V/K)(1/1)ln([Ag+]/[H+])
Solving for [H+]:
[H+] = [Ag+]e^0.24/0.0257
[H+] = 8.8 x 10^-10 M, which corresponds to answer choice B.

Consider the Following Cell: Pt|H2(g,1 Atm)|H+(aq,? M)M Ag+(aq,1 ο\omicronο C and the Standard Potential of the Ag+/Ag Couple Is

Consider the Following Cell:
Pt|H₂(g,1 Atm)|H⁺(aq,? M)M Ag⁺(aq,1 $\omicron$ C and the Standard Potential of the Ag⁺/Ag Couple Is