0 votes
41 views
in Physical Chemistry by (138k points)
What is the standard cell potential for a galvanic cell made up of a silver electrode and a zinc electrode, where the concentration of silver ions is 0.01 M and the concentration of zinc ions is 1.0 M?

1 Answer

0 votes
by (138k points)
To calculate the standard cell potential for a galvanic cell made up of a silver electrode and a zinc electrode, we need to use the Nernst equation. The Nernst equation relates the cell potential  E_cell  to the standard cell potential  E_cell , temperature  T , number of electrons transferred  n , the gas constant  R , and the concentrations of the ions involved in the redox reaction.The Nernst equation is:E_cell = E_cell -  RT/nF  * ln Q where:E_cell = standard cell potentialR = gas constant  8.314 J/molK T = temperature  in Kelvin, 298 K for standard conditions n = number of electrons transferredF = Faraday's constant  96,485 C/mol Q = reaction quotientFirst, we need to find the standard cell potential  E_cell  for the given redox reaction. The half-cell reactions for silver and zinc are:Ag aq  + e  Ag s   E = +0.80 V  reduction Zn aq  + 2e  Zn s   E = -0.76 V  reduction Since zinc is being oxidized and silver is being reduced, we need to reverse the zinc half-cell reaction:Zn s   Zn aq  + 2e  E = +0.76 V  oxidation Now, we can find the standard cell potential by adding the half-cell potentials:E_cell = E Ag/Ag  + E Zn/Zn  =  +0.80 V  +  +0.76 V  = +1.56 VNext, we need to find the reaction quotient  Q . The balanced redox reaction is:2Ag aq  + Zn s   2Ag s  + Zn aq The reaction quotient  Q  is given by:Q = [Zn]/[Ag]^2Given the concentrations of silver ions  0.01 M  and zinc ions  1.0 M , we can calculate Q:Q =  1.0 M / 0.01 M ^2 = 10000Now, we can use the Nernst equation to find the cell potential  E_cell :E_cell = E_cell -  RT/nF  * ln Q E_cell = 1.56 V -   8.314 J/molK  *  298 K  /  2 * 96485 C/mol   * ln 10000 E_cell  1.56 V - 0.0296 V * ln 10000 E_cell  1.56 V - 0.0296 V * 9.21E_cell  1.56 V - 0.272E_cell  1.288 VSo, the standard cell potential for a galvanic cell made up of a silver electrode and a zinc electrode with the given concentrations of ions is approximately 1.288 V.

Related questions

Welcome to Sarvan Science Q&A, where you can ask questions and receive answers from other members of the community.
...