JEE MAIN - Chemistry (2024 - 8th April Morning Shift - No. 13)
Explanation
To solve this problem, we need to determine the oxidation state of cobalt ($$x$$) and the number of ammonia molecules ($$n$$) in the complex $$\mathrm{CoCl}_3 \cdot \mathrm{nNH}_3$$, given that it produces 2 moles of $$\mathrm{AgCl}$$ upon reaction with excess $$\mathrm{AgNO}_3$$.
First, let's write the reaction between the complex and $$\mathrm{AgNO}_3$$.
The precipitate formation indicates that some chloride ions are free (not coordinated to the metal). Since 2 moles of $$\mathrm{AgCl}$$ are formed, it indicates that there are 2 chloride ions that are free to react with $$\mathrm{AgNO}_3$$.
Therefore, we can conclude that in the complex, 1 chloride ion is coordinated to the cobalt, and 2 chloride ions are free. This can be represented as:
$$\mathrm{[Co(NH_3)_{n}Cl]Cl_2}$$
Now, let's determine the oxidation state of cobalt (Co). The charge on the entire complex should be zero, so we can write the charge balance equation as follows:
The sum of the charges is:
$$x + (0 \cdot n) + (-1 \cdot 1) + (-1 \cdot 2) = 0$$
Solving this, we get:
$$x - 1 - 2 = 0$$
$$x - 3 = 0$$
$$x = 3$$
So, the oxidation state of Co is 3.
Now, we need to find the value of $$n$$. Since the coordination number of Co in an octahedral complex is typically 6 and we have 1 chloride ion coordinated to Co, the number of ammonia molecules coordinated to Co would be:
$$n = 6 - 1 = 5$$
Finally, we calculate $$x + n$$:
$$x + n = 3 + 5 = 8$$
So, the value of "$$x + n$$" is 8.
Therefore, the correct option is:
Option D: 8
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