One millimole of Ni(NO3)2 dissolves in 240.0 mL of a solution that is 0.500 M in ammonia. The formation constant of Ni(NH3)62+ is 5.5×108. What is the initial concentration of Ni(NO3)2 in the solution? What is the equilibrium concentration of Ni2+(aq ) in the solution?

Explanation:

Hello,

In this case, we consider the formation reaction of such cationic complex as:

Thus, the law of mass action is:

So, we can compute the initial concentration of nickel ions which matches with the nickel (II) nitrate concentration:

Next, by using the formation constant, we write the law of mass action in terms of the change due to the reaction extent:

Thus, solving for we obtain:

Which means all the nickel ions were consumed:

This has sense since the formation constant is large enough.

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