Finding the Ratio of Uncomplexed Zn2+ to Zn(NH3)2+ Using Stability Constant

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To find the ratio of uncomplexed Zn2+ to Zn(NH3)2+, the stability constant of the complex can be used without needing the volume or moles of NH3. The stability constant of [Zn(NH3)4]2+ is given as 3x10^9, which allows for the calculation of the concentrations of the species involved. The key is to establish the equilibrium expression for the formation of the complex. By utilizing the stability constant, the ratio can be determined based on the concentrations of uncomplexed Zn2+ and the complexed form. This approach simplifies the problem and focuses on the relationship dictated by the stability constant.
CosmicC
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What is the ratio of the uncomplexed Zn+2 ion in a solution that is 10M in NH3, if the stability constant of [Zn(Nh3)4]+2 is 3x10^9.

I am not able to understand why they have given 10M NH3 since we don't know volume or enough info to get moles. We have only stability constant.
 
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You do not need to know the volume or number of moles to figure out the ratio. You can just calculate a ratio of the concentration of uncomplexed Zn2+ to the concentration of the Zn(NH3)2+. A good starting point is to write out the equation for the Ksp for the formation of the complex.
 

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