MCQMediumJEE 2026Ligands & Coordination Number

JEE Chemistry 2026 Question with Solution

Consider a mixture XX which is made by dissolving 0.40.4 mol of [Co(NH3)5SO4]Br[\mathrm{Co(NH_3)_5SO_4}]Br and 0.40.4 mol of [Co(NH3)5Br]SO4[\mathrm{Co(NH_3)_5Br}]SO_4 in water to make 44 L of solution. When 22 L of mixture XX is allowed to react with excess AgNO3\mathrm{AgNO_3}, it forms precipitate YY. The rest 22 L of mixture XX reacts with excess BaCl2\mathrm{BaCl_2} to form precipitate ZZ. Which of the following statements is CORRECT?

  • A

    YY is BaSO4\mathrm{BaSO_4} and ZZ is AgBr\mathrm{AgBr}

  • B

    0.10.1 mol of YY is formed

  • C

    0.20.2 mol of ZZ is formed

  • D

    0.40.4 mol of ZZ is formed

Answer

Correct answer:C

Step-by-step solution

Standard Method

Given: A mixture XX is prepared by dissolving 0.40.4 mol each of [Co(NH3)5SO4]Br[\mathrm{Co(NH_3)_5SO_4}]Br and [Co(NH3)5Br]SO4[\mathrm{Co(NH_3)_5Br}]SO_4 to make 44 L solution.

Find: Which statement about precipitates YY and ZZ is correct.

Only counter ions take part in precipitation reactions; ligands inside the coordination sphere do not.

[Co(NH3)5SO4]Br[Co(NH3)5SO4]++Br[\mathrm{Co(NH_3)_5SO_4}]Br \rightarrow [\mathrm{Co(NH_3)_5SO_4}]^+ + \mathrm{Br}^-

So this complex gives free Br\mathrm{Br}^- as counter ion.

[Co(NH3)5Br]SO4[Co(NH3)5Br]2++SO42[\mathrm{Co(NH_3)_5Br}]SO_4 \rightarrow [\mathrm{Co(NH_3)_5Br}]^{2+} + \mathrm{SO_4}^{2-}

So this complex gives free SO42\mathrm{SO_4}^{2-} as counter ion.

Since the total volume is 44 L, in 22 L of solution the moles of each salt are half:

Moles of each salt in 2L=0.42=0.2\text{Moles of each salt in } 2 \, \text{L} = \frac{0.4}{2} = 0.2

When 22 L reacts with excess AgNO3\mathrm{AgNO_3}, only free Br\mathrm{Br}^- forms precipitate AgBr\mathrm{AgBr}.

Ag++BrAgBr(s)\mathrm{Ag}^+ + \mathrm{Br}^- \rightarrow \mathrm{AgBr}(s)

Hence, moles of Y=AgBrY = \mathrm{AgBr} formed are 0.20.2 mol.

When the other 22 L reacts with excess BaCl2\mathrm{BaCl_2}, only free SO42\mathrm{SO_4}^{2-} forms precipitate BaSO4\mathrm{BaSO_4}.

Ba2++SO42BaSO4(s)\mathrm{Ba}^{2+} + \mathrm{SO_4}^{2-} \rightarrow \mathrm{BaSO_4}(s)

Hence, moles of Z=BaSO4Z = \mathrm{BaSO_4} formed are 0.20.2 mol.

Therefore, the correct option is C and 0.20.2 mol of ZZ is formed.

Common mistakes

  • Assuming that ions inside the coordination sphere also precipitate. This is wrong because coordinated ligands do not behave as free ions in solution. First identify only the counter ion outside the square brackets.

  • Using the full 0.40.4 mol for the 22 L sample. This is wrong because the mixture volume is 44 L, so each 22 L portion contains only half the moles. Use 0.20.2 mol of each salt in each half.

  • Interchanging the identities of YY and ZZ. This is wrong because AgNO3\mathrm{AgNO_3} tests for free Br\mathrm{Br}^- to give AgBr\mathrm{AgBr}, while BaCl2\mathrm{BaCl_2} tests for free SO42\mathrm{SO_4}^{2-} to give BaSO4\mathrm{BaSO_4}.

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