Advertisements
Advertisements
Question
Equilibrium constant of the reaction, \[\ce{2Cu^{\oplus}_{(aq)} -> Cu^{2\oplus}_{(aq)} + Cu_{(s)}}\] is 1.2 × 106. What is the standard potential of the cell in which the reaction takes place?
Advertisements
Solution
Given: Equilibrium constant of the reaction (K) = 1.2 × 106.
To find: Standard potential of cell \[\ce{E^{\circ}_{cell}}\]
Formulae: \[\ce{E^{\circ}_{cell}}\] = `(0.0592 "V")/"n" log_10K`
Calculation:
For the given reaction, n = 1.
Using formula,
`("E"_"cell"^circ) = 0.0592/1 xx log_10 (1.2 xx 10^6)`
`("E"_"cell"^circ) = 0.0592 xx (6.079)` = 0.36 V
The standard cell potential of cell is 0.36 V.
APPEARS IN
RELATED QUESTIONS
Answer the following in brief.
Using the relationship ΔG° of cell reaction and the standard potential associated with it, how will you show that the electrical potential is an intensive property?
Write a mathematical expression for Standard Cell Potential.
What is the mass of copper metal produced at cathode during the passage of 2.03 A current through the CuSO4 solution for 1 hour. Molar mass of Cu = 63.5 g mol–1.
Derive the relationship between Gibbs energy of cell reaction and cell potential.
The standard emf of a galvanic cell involving cell reaction with n = 1 was found to be 0.592 V at 25°C. The equilibrium constant of the reaction would be ____________.
Standard hydrogen electrode (SHE) is a ______.
Consider the cell \[\ce{Al | Al^{3+} (1 M) || Sn^{2+} (1 M) | Sn}\], \[\ce{E^0_{Al}}\] = −1.66 V; \[\ce{E^0_{Fe}}\] = −0.136 V, ∆G0 for the above cell is ____________.
The standard emf of Daniel cell is 1.10 volt. What is the maximum electrical work obtained from Daniel cell? (F = 96500 C)
Calculate Standard cell potential for a cell having following reaction, \[\ce{2Al(s) + 3Ni^{2+} -> 2Al^{3+} + 3Ni(s)}\]
`("E"_"Ni"^circ = - 0.25 "V" and "E"_"Al"^circ = 1.66 "V")`
Calculate standard Gibbs energy change at 25°C for the cell reaction.
\[\ce{Cd_{(s)} + Sn^{2+}_{ (aq)} -> Cd^{2+}_{ (aq)} + Sn_{(s)}}\]
\[\ce{E^0_{cd}}\] = –0.403 V, \[\ce{E^0_{Sn}}\] = –0.136 V
E0cell (Standard Potential of cell) for the following cell reaction is ______.
\[\ce{Cd_{(s)} + Sn^{2+}_{(aq)}-> Cd^{2+}_{(aq)} + Sn_{(s)}}\]
(E0Cd = − 0.403 V and E0Sn = − 0.136 V)
For a relation:
ΔrG = −nFEcell
\[\ce{E_{cell} = E^\circ_{cell}}\] in which of the following conditions?
