The equation for the base dissociation constant, Kp, of NH3 is given as; Kp = [ NH4^+] [OH-]/[NH3]
The term base dissociation constant refers to the number that shows the extent to which a base dissociates in water. A high value of the dissociation constant implies that the base is completely dissociated in water.
Having said that, we can see that the equation for the base dissociation of NH3 is obtained as; NH3(aq) ⇄ NH4^+(aq) + OH-(aq). We also know that water is in large extent hence it does not come into the dissociation equation.
Thus the equation for the base dissociation constant, Kp, of NH3 is given as; Kp = [ NH4^+] [OH-]/[NH3]
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