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What do you understand by standard e.m.f...

What do you understand by standard e.m.f. of a cell ? Derive a relationship between standard emf of a cell and equilibrium constant.

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### Step-by-Step Solution **Step 1: Understanding Standard EMF of a Cell** The standard electromotive force (emf) of a cell is defined as the potential difference between the two electrodes of an electrochemical cell when no current is flowing. It is a measure of the cell's ability to drive an electrochemical reaction under standard conditions (1 M concentration for solutions, 1 atm pressure for gases, and a temperature of 25°C). **Step 2: Standard Reduction Potentials** The standard emf (E°) of a cell can be calculated using the standard reduction potentials of the cathode (E°_cathode) and anode (E°_anode). The relationship is given by: \[ ...
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Knowledge Check

  • Relation between standard cell potential and equilibrium constant is

    A
    `E^(@) = (n RT)/(F)` In K
    B
    `E^(@)= (RT)/(nF)` In K
    C
    `E^(@)=(nRF)/(T)` In K
    D
    `E^(@)=(RF)/(nT)` In K

  • The e.m.f. of a cell is a

    A
    unit vector
    B
    zero vector
    C
    scalar quantity
    D
    vector quantity

  • The relationship between standard reduction potential of a cell and equilibrium constant is shown by

    A
    `E_("cell")^(@)=(n)/(0.059)"logK"_(c)`
    B
    `E_("cell")^(@)=(0.059)/(n)"logK"_(c)`
    C
    `E_("cell")^(@)=0.059"nlogK"_(c)`
    D
    `E_("cell")^(@)=("logK"_(c))/(n)`

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