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

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The discussion focuses on calculating the ratio of uncomplexed Zn2+ ions to the complexed Zn(NH3)2+ in a solution with 10M NH3 and a stability constant of 3x109 for the complex [Zn(NH3)4]2+. It is established that the volume or moles of the solution are irrelevant for this calculation. The key approach is to derive the ratio from the concentrations of the uncomplexed and complexed species using the stability constant.

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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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