For the reactionZn(s) + Cu+2(0.1 M) → Zn+2(1 M) + Cu(s)taking place in a cell, is 1.10 volt.ECell for the cell will be Given : 2.14 volt1.80 volt1.07 volt0.82 volt
Question
For the reactionZn(s) + Cu+2(0.1 M) → Zn+2(1 M) + Cu(s)taking place in a cell, is 1.10 volt.ECell for the cell will be Given : 2.14 volt1.80 volt1.07 volt0.82 volt
Solution
The given reaction is:
Zn(s) + Cu+2(0.1 M) → Zn+2(1 M) + Cu(s)
The standard reduction potentials are given as:
E°(Cu+2/Cu) = +0.34 V E°(Zn+2/Zn) = -0.76 V
The cell reaction is obtained by subtracting the reduction half-cell reaction for Zn from the reduction half-cell reaction for Cu. Therefore, the standard cell potential (E°cell) is obtained by subtracting the standard reduction potential for Zn from that for Cu.
E°cell = E°(Cu+2/Cu) - E°(Zn+2/Zn) = 0.34 V - (-0.76 V) = 1.10 V
The Nernst equation allows us to calculate the cell potential under non-standard conditions:
Ecell = E°cell - (RT/nF) * ln(Q)
where: R is the gas constant = 8.314 J/(mol*K) T is the temperature in Kelvin. If not given, assume room temperature (25°C or 298K). n is the number of moles of electrons transferred in the balanced redox reaction. For this reaction, n=2. F is Faraday's constant = 96485 C/mol Q is the reaction quotient = [Zn+2]/[Cu+2]
Assuming room temperature and plugging in the given concentrations into the Nernst equation:
Ecell = 1.10 V - (8.314 J/(mol*K) * 298K / (2 * 96485 C/mol)) * ln(1/0.1) Ecell = 1.10 V - (0.0257 V) * ln(10) Ecell = 1.10 V - 0.059 V Ecell = 1.04 V
None of the given options match this result. Please check the problem statement or the given options.
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