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Question: In the separation of \(\text{C}{{\text{u}}^{\text{2+}}}\) and \(\text{C}{{\text{d}}^{2+}}\) in the s...

In the separation of Cu2+\text{C}{{\text{u}}^{\text{2+}}} and Cd2+\text{C}{{\text{d}}^{2+}} in the second group of qualitative analysis of cations, tetraamminecopper (II) sulfate and tetraamine cadmium (II) sulfate react with KCN\text{KCN} to form corresponding cyano complexes and their relative stability enables the separation of Cu2+\text{C}{{\text{u}}^{\text{2+}}} and Cd2+\text{C}{{\text{d}}^{2+}}?
A) K3[Cu(CN)4]{{\text{K}}_{\text{3}}}\left[ \text{Cu(CN}{{\text{)}}_{\text{4}}} \right]: less stable and
K2[Cd(CN)4]{{\text{K}}_{2}}\left[ \text{Cd(CN}{{\text{)}}_{\text{4}}} \right] : more stable

B) K3[Cu(CN)4]{{\text{K}}_{\text{3}}}\left[ \text{Cu(CN}{{\text{)}}_{\text{4}}} \right] : more stable and
K2[Cd(CN)4]{{\text{K}}_{2}}\left[ \text{Cd(CN}{{\text{)}}_{\text{4}}} \right]: Less stable

C) K2[Cu(CN)4]{{\text{K}}_{2}}\left[ \text{Cu(CN}{{\text{)}}_{\text{4}}} \right]: less stable and
K2[Cd(CN)4]{{\text{K}}_{2}}\left[ \text{Cd(CN}{{\text{)}}_{\text{4}}} \right]: More stable

D) K2[Cu(CN)4]{{\text{K}}_{2}}\left[ \text{Cu(CN}{{\text{)}}_{\text{4}}} \right] : more stable and
K2[Cd(CN)4]{{\text{K}}_{2}}\left[ \text{Cd(CN}{{\text{)}}_{\text{4}}} \right] : Less stable

Explanation

Solution

The second group cations, copper Cu2+\text{C}{{\text{u}}^{\text{2+}}} and cadmium Cd2+\text{C}{{\text{d}}^{2+}} forms the cyano complexes: K3[Cu(CN)4]{{\text{K}}_{\text{3}}}\left[ \text{Cu(CN}{{\text{)}}_{\text{4}}} \right] and K2[Cd(CN)4]{{\text{K}}_{2}}\left[ \text{Cd(CN}{{\text{)}}_{\text{4}}} \right]. The second ionization of copper in the cyano complex is +1+1 and for cadmium it is +2+2. Due to low ionization, the copper forms very stable complexes that do not dissociate easily in solution.

Complete step by step answer:
The transition metals form the complex cyanides. The cyanide CN\text{C}{{\text{N}}^{-}} is a monodentate ligand. It donates its electron to the metal atom and results in the formation of metal –cyanide complex. CN\text{C}{{\text{N}}^{-}} have the empty p-orbital, hence it can accept the metal electrons and forms a pi-bond with the metal. This is called back bonding. This stabilizes the metal cyanide complex to a larger extent.

We know that the copper Cu2+\text{C}{{\text{u}}^{\text{2+}}} and Cd2+\text{C}{{\text{d}}^{2+}} are the group II metal ions. The group II metal ions can be estimated by passing the hydrogen sulphide gas through it. Here we are provided with the solution which contains the Cu2+\text{C}{{\text{u}}^{\text{2+}}} and Cd2+\text{C}{{\text{d}}^{2+}} ions in it. Therefore, we use the concept of masking.
Masking is defined as the process in which the substance, without its physical separation, is transformed into a form that does not interfere in the particular reaction.

Here, the copper and cadmium can form complexes with the ligands. The tetra amine copper (II) sulfate and tetraamine cadmium (II) sulfate reacts with the potassium cyanide KCN\text{KCN} .The KCN\text{KCN} is the masking agent. The copper and cadmium form the cyano complexes. The complex is as follows:
[Cu(NH3)4]SO4 + KCN  K3[Cu(CN)4]\left[ \text{Cu(N}{{\text{H}}_{\text{3}}}{{\text{)}}_{\text{4}}} \right]\text{S}{{\text{O}}_{\text{4}}}\text{ + KCN }\to \text{ }{{\text{K}}_{\text{3}}}\left[ \text{Cu(CN}{{\text{)}}_{\text{4}}} \right]

Similarly, the cadmium forms the cyano complex as follows:
[Cd(NH3)4]SO4 + KCN  K2[Cd(CN)4]\left[ \text{Cd(N}{{\text{H}}_{\text{3}}}{{\text{)}}_{\text{4}}} \right]\text{S}{{\text{O}}_{\text{4}}}\text{ + KCN }\to \text{ }{{\text{K}}_{2}}\left[ \text{Cd(CN}{{\text{)}}_{\text{4}}} \right]
The copper forms a very stable complex with cyanide ions. The secondary ionization power of copper K3[Cu(CN)4]{{\text{K}}_{\text{3}}}\left[ \text{Cu(CN}{{\text{)}}_{\text{4}}} \right] is +1+1 . On the other hand, the secondary ionization power of cadmium K2[Cd(CN)4]{{\text{K}}_{2}}\left[ \text{Cd(CN}{{\text{)}}_{\text{4}}} \right] is +2+2 . The second ionization of potassium cadmi cynanide is higher than that of the potassium cupro cyanide Cd2+ Cu1+\text{C}{{\text{d}}^{2+}}\rangle \text{ C}{{\text{u}}^{\text{1+}}}.
Therefore, the copper forms a stable complex with the cyanide than the cadmium.

When KCN\text{KCN} is introduced in the solution, the cyano complexes are formed. When the solution is treated with the H2S{{\text{H}}_{\text{2}}}\text{S} gas, the unstable K2[Cd(CN)4]{{\text{K}}_{2}}\left[ \text{Cd(CN}{{\text{)}}_{\text{4}}} \right] easily dissociates into the Cd2+\text{C}{{\text{d}}^{2+}} ions and precipitated as the CdS\text{CdS} but K3[Cu(CN)4]{{\text{K}}_{\text{3}}}\left[ \text{Cu(CN}{{\text{)}}_{\text{4}}} \right] is very stable complex therefore very few Cu2+\text{C}{{\text{u}}^{\text{2+}}} ions are present in the solution, therefore, it does not get precipitated as CuS\text{CuS} .
Cd2++H2SCdS () + 2H+\text{C}{{\text{d}}^{\text{2+}}}\text{+}{{\text{H}}_{\text{2}}}\text{S}\rightleftharpoons \text{CdS (}\downarrow \text{) + 2}{{\text{H}}^{\text{+}}}
Therefore, here K3[Cu(CN)4]{{\text{K}}_{\text{3}}}\left[ \text{Cu(CN}{{\text{)}}_{\text{4}}} \right] is a more stable complex and K2[Cd(CN)4]{{\text{K}}_{2}}\left[ \text{Cd(CN}{{\text{)}}_{\text{4}}} \right] is less stable complex.
So, the correct answer is “Option B”.

Note: Masking is a technique to reduce or prevent the interference of ion in the estimation. Here, the potassium cyanide acts as the masking agent. It forms a stable complex with the copper and prevents it from undergoing further reaction with sulphide. This eases the determination of cadmium.