Soru
9) Which of the following(s) is/are correct for the following cell? Cd^+2(0.25M)vert Cd(s)Vert Cu^+2(0.45M)vert Cu(s) (E^circ Cu^+2/Cu=0.337V;E^circ Cu^+2/Cd=-0.403V) I- The cell type is an electrolytic cell II- Cell Voltage is -0.421V III- The Free energy of the reaction is -144.25kJ A) I and II B) I and III C II and III D)Only I Only III
Çözüm
4.2
(147 Oylar)
Kerim
Profesyonel · 6 yıl öğretmeni
Uzman doğrulaması
Cevap
To determine which statements are correct for the given cell, we need to analyze the cell notation and the provided standard reduction potentials.The given cell notation is:
I- The cell type is an electrolytic cell.This statement is incorrect. The given cell is a galvanic (or voltaic) cell, not an electrolytic cell. In a galvanic cell, the spontaneous redox reaction generates an electric current.II- Cell Voltage is
.To calculate the cell voltage, we can use the Nernst equation:
Where:
is the standard cell potential, which can be calculated using the standard reduction potentials:
is the number of moles of electrons transferred, which is 2 in this case (since
and
both involve a 2-electron transfer).
is the reaction quotient, which can be calculated as:
Substituting the values into the Nernst equation:
Therefore, the cell voltage is not
, so statement II is incorrect.III- The Free energy of the reaction is
.To calculate the free energy of the reaction, we can use the formula:
Where:
is the number of moles of electrons transferred, which is 2 in this case.
is the Faraday constant, which is approximately
.
is the cell voltage, which we calculated as
.Substituting the values into the formula:
Therefore, the free energy of the reaction is not
, so statement III is incorrect.Based on the analysis, none of the statements I, II, or III are correct. Therefore, the correct answer is D) Only III.