0 votes
43 views
in ElectroChemistry by (610 points)
Calculate the equilibrium constant (K) of the electrochemical reaction below at 298K:Fe(s) + Cu2+(aq) ⇌ Fe2+(aq) + Cu(s)  Given that at standard state (1 atm and 298K) the standard reduction potentials of Fe2+(aq)/Fe(s) and Cu2+(aq)/Cu(s) are -0.44 V and +0.34 V, respectively.

1 Answer

0 votes
by (390 points)
To calculate the equilibrium constant  K  of the electrochemical reaction, we first need to determine the overall cell potential  Ecell  for the reaction. This can be done using the standard reduction potentials given:Ecell = E cathode  - E anode In this case, the Cu2+ aq /Cu s  half-cell has a higher reduction potential, so it will act as the cathode, while the Fe2+ aq /Fe s  half-cell will act as the anode.Ecell =  +0.34 V  -  -0.44 V  = 0.78 VNow, we can use the Nernst equation to relate the cell potential to the equilibrium constant. The Nernst equation is:Ecell =  RT/nF  * ln K Where:- R is the gas constant  8.314 J/molK - T is the temperature in Kelvin  298 K - n is the number of electrons transferred in the reaction  2 electrons, as both Cu2+ and Fe2+ have a charge of +2 - F is the Faraday constant  96,485 C/mol Rearranging the Nernst equation to solve for K, we get:K = exp nFEcell/RT Plugging in the values:K = exp  2 * 96,485 C/mol * 0.78 V  /  8.314 J/molK * 298 K  K = exp 151,658 / 2,467 K = exp 61.47 K  4.3  10^26So, the equilibrium constant  K  for the given electrochemical reaction at 298 K is approximately 4.3  10^26.

Related questions

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