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How are the stepwise stability constants (K) related to the overall stability constant (β)?

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in Chemistry – Class 12 by (188k points)
How are the stepwise stability constants (K) related to the overall stability constant (β)?

(a) βn = K1 + K2 + …. + Kn

(b) βn = K1 x K2 x … x Kn

(c) βn = logK1 + logK2 + …. + logKn

(d) βn = 1/(K1 + K2 + …. + Kn)

This question was posed to me in a national level competition.

My doubt stems from Stability of Coordination Compounds in chapter Coordination Compounds of Chemistry – Class 12

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Correct answer is (b) βn = K1 x K2 x … x Kn

Easiest explanation: The overall stability constant is the product of all the stepwise stability constants of each individual reaction.

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