Question:

The overall complex dissociation equilibrium constant for [Cr(H2O)6]3- ion is 5×10-12. The overall stability constant of the complex is

Updated On: Apr 7, 2025
  • 2×10-11
  • 5×1011
  • 5×1010
  • 2×1011
  • 0.2×1011
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The Correct Option is D

Approach Solution - 1

The stability constant (\(K_f\)) of a complex is the inverse of the dissociation constant (\(K_d\)). Given the dissociation constant for [Cr(H\(_2\)O)\(_6\)]\(^{3+}\) is \(5 \times 10^{-12}\), the stability constant is the reciprocal:

The correct option is (D) : 2×1011

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Approach Solution -2

The relationship between the dissociation constant (Kd) and the stability constant (Ks) of a complex is given by:

Ks = 1 / Kd

In this case, the dissociation equilibrium constant (Kd) for [Cr(H2O)6]3- is given as 5×10-12. To find the stability constant (Ks), we use the formula:

Ks = 1 / 5×10-12 = 2×1011

Therefore, the overall stability constant of the complex is 2×1011.

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