HardChemistryHigh School (11–12)Coordination CompoundsNumerical

Cadmium(II) adds ammonia in four steps with log K = 2.6, 2.1, 1.4 and 0.9…

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Cadmium(II) adds ammonia in four steps with $\log K = 2.6, 2.1, 1.4$ and $0.9$ . Find $\log\beta_4$ for $[\text{Cd(NH}_3)_4]^{2+}$ and $\Delta G^\circ$ for the overall reaction at $298\ \text{K}$ . By how much does $\log K$ fall from the first step to the last?

Need a reminder? The key ideaShow

$\Delta_o \approx f \times g \times 1000\ \text{cm}^{-1}$ and $\lambda = 10^7/\tilde{\nu}$ in nm. A larger splitting gives a shorter wavelength. $\log\beta_n = \sum \log K$ and $\Delta G^\circ = -5.706 \times \log\beta$ kJ/mol at $298\ \text{K}$ .

The worked solution

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Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.

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