What is the E°cell (in V) for a redox reaction that has equilibrium constant K =3.6 x 1012 at 25°C ? Assume 1 electrons are transferred in the balanced redox reaction. Remember: if you want to express an answer in scientific notation, use the letter "E". For example "4.32 x 104" should be entered as "4.32E4".Answer:Question 5
Question
What is the E°cell (in V) for a redox reaction that has equilibrium constant K =3.6 x 1012 at 25°C ? Assume 1 electrons are transferred in the balanced redox reaction. Remember: if you want to express an answer in scientific notation, use the letter "E". For example "4.32 x 104" should be entered as "4.32E4".Answer:Question 5
Solution
To find the E°cell for the redox reaction, we can use the Nernst equation. However, since we are given the equilibrium constant (K), we can use a simplified form of the Nernst equation that relates E°cell, the standard cell potential, to the equilibrium constant. This form of the Nernst equation is:
E°cell = (RT/nF) * ln(K)
Where: R is the gas constant, which is 8.314 J/(mol*K) T is the temperature in Kelvin, which is 25°C + 273.15 = 298.15 K n is the number of electrons transferred in the redox reaction, which is 1 F is Faraday's constant, which is 96485 C/mol K is the equilibrium constant, which is 3.6 x 10^12
Substituting these values into the equation gives:
E°cell = (8.314 J/(mol*K) * 298.15 K / (1 * 96485 C/mol)) * ln(3.6 x 10^12)
Solving this equation gives:
E°cell = 0.026 V * ln(3.6 x 10^12)
E°cell = 0.026 V * 27.8
E°cell = 0.72 V
So, the E°cell for the redox reaction is 0.72 V.
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