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An acid has an acid dissociation constant of 2.8 10–9. What is the base dissociation constant of its conjugate base?

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The answer is 3.6 x 10^-6
User Nirpi
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Answer: The base dissociation constant for a conjugate base is
3.5* 10^(-6)

Step-by-step explanation:

To calculate the base dissociation constant for the given acid dissociation constant, we use the equation:


K_w=K_b* K_a

where,


K_w = Ionic product of water =
10^(-14)


K_a = Acid dissociation constant =
2.8* 10^(-9)


K_b Base dissociation constant = ?

Putting values in above equation, we get:


10^(-14)=2.8* 10^(-9)* K_b\\\\K_b=0.35* 10^(-5)=3.5* 10^(-6)

Hence, the base dissociation constant for a conjugate base is
3.5* 10^(-6)