Question

In the equation ${G_o} = - nF{E_o}cell$ : F is _____

Answer 1

The given equation ${G_o} = - nF{E_o}cell$ is a relation between ${G_o}$ (which is known as Gibbs free energy) and ${E_o}$ (which is standard electrode potential of the cell). This equation helps us to determine the free energy of a reaction or the standard electrode potential of a given cell.

Complete answer:
Now, the given equation is:-
${G_o} = - nF{E_o}cell$
Where, ${G_o}$ is standard Gibbs free energy
${E_o}cell$ is the standard electrode potential of given cell
n is the number of moles of electrons
Here, F is the Faraday constant.
Faraday constant is named after a scientist Michael Faraday. It is denoted by letter ‘F’ It represents the magnitude of charge per moles of electrons.
Therefore, we can say that, it is equal to the amount of electric charge that liberates one gram equivalent of any ion from an electrolytic solution. It can be represented as:-
$F = e{N_A}$
Where, e is the charge on electron in coulombs unit
Faraday constant does not depend upon any such factor that can change at any time so, that's why we can say that Faraday's constant is always considered as universal Constant.
${N_A}$ is known as Avogadro constant
$e = 1.602176634 \times {10^{ - 19}}C$
${N_A} = 6.022141 \times {10^{23}}mo{l^{ - 1}}$
Therefore, we can calculate Faraday constant as:
$F = (1.602176634 \times {10^{ - 19}}C) \times (6.022141 \times {10^{23}}mo{l^{ - 1}})$
$F = 96485.336Cmo{l^{ - 1}}$
Value of Faraday constant in terms of $KJmo{l^{ - 1}}$ is $96.485KJmo{l^{ - 1}}$ .
Hence, the answer is Faraday constant.

Additional information:-
In a galvanic cell, the Gibbs free energy is related to the potential by:
${G_o} = - nF{E_o}cell$
If ${E^o}cell{\text{ }} > {\text{ }}0$ , then the process is spontaneous
If ${E^o}cell{\text{ < }}0$ , then the process is nonspontaneous
The spontaneous process takes place in galvanic cell while non-spontaneous processes take place in electrolytic cells.

Note:
Gibbs free energy is a physical quantity which represents the maximum amount of work done in a thermodynamic system when temperature and pressure are constant.
In the given equation, ${G_o} = - nF{E_o}cell$ , the value of ${G_o}$ is negative for spontaneous reaction and if the value of ${G_o}$ is positive, then the cell reaction nonspontaneous.