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Relationship between Ecell and K The equilibrium constant for a cell reaction can be calculated from the standard cell voltage. The relationship between them is: RT nF where E standard cell potential R ideal gas constant Tkelvin temperature n number of moles of electrons for the reaction as written Fcharge carried by 1 mol of electrons Kequilibrium constant it is cusomary to use the equation in a form where numerical values are substituted for R., T and F at a temperature of 25 C. For R 8.314J mol K T 298.15 K RT (83141 mor K1x298.15 K) 96,485 Jvl mol and the equation with the potential in volts is: 0.0257 Ecell 1nK natural logarithm Sometimes the base-10 logaridhm is used and the substitution of 2,303 log for In is made (2 303x0.0257-0.0592) Then, the equation for base-10 logs at 25 C is: 0.0592 Ecelllog Kbase-10 logarithm A common student error is to use the wrong kind of logarithm. Be sure, when you choose an equation, to use the correce
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