NVAEasyJEE 2025Potassium Dichromate & Permanganate

JEE Chemistry 2025 Question with Solution

Consider the following reactions A+HCl+H2SO4CrO2Cl2+Side ProductsA + HCl + H_2SO_4 \rightarrow CrO_2Cl_2 + \text{Side Products} Little amount CrO2Cl2(vapour)+NaOHB+NaCl+H2OCrO_2Cl_2(\text{vapour}) + NaOH \rightarrow B + NaCl + H_2O B+H+C+H2OB + H^+ \rightarrow C + H_2O The number of terminal 'O' present in the compound 'C' is _____

Answer

Correct answer:6

Step-by-step solution

Standard Method

Given: The sequence converts chromyl chloride into a chromate in base and then to dichromate in acid.

Find: The number of terminal oxygen atoms in the final species CC.

Chromyl chloride CrO2Cl2CrO_2Cl_2 reacts with aqueous NaOHNaOH to form chromate, and on acidification chromate gives dichromate.

CrO2Cl2+4NaOHNa2CrO4+2NaCl+2H2O\mathrm{CrO_2Cl_2} + 4\,\mathrm{NaOH} \longrightarrow \mathrm{Na_2CrO_4} + 2\,\mathrm{NaCl} + 2\,\mathrm{H_2O}

So, B=CrO42B = CrO_4^{2-} as chromate.

On adding acid:

2CrO42+2H+Cr2O72+H2O2\,\mathrm{CrO_4^{2-}} + 2\,\mathrm{H^+} \longrightarrow \mathrm{Cr_2O_7^{2-}} + \mathrm{H_2O}

Thus, C=Cr2O72C = Cr_2O_7^{2-}.

In dichromate ion, two CrO4CrO_4 tetrahedra share one bridging oxygen (CrOCr)(\mathrm{Cr-O-Cr}). Therefore, out of 77 oxygen atoms, 11 is bridging and the remaining are terminal.

Terminal O atoms=71=6\text{Terminal O atoms} = 7 - 1 = 6

Therefore, the compound CC contains 66 terminal oxygen atoms.

The solution also states that the final species is dichromate and the number of terminal oxygen atoms is 66.

Species Identification Shortcut

Given: CrO2Cl2CrO_2Cl_2 is converted to BB by base and then to CC by acid.

Find: The number of terminal oxygen atoms in CC.

Use the standard interconversion:

  • In base, chromyl chloride gives chromate CrO42CrO_4^{2-}.
  • In acidic medium, chromate condenses to dichromate Cr2O72Cr_2O_7^{2-}.

So directly identify CC as Cr2O72Cr_2O_7^{2-}.

Dichromate has 77 oxygens total and 11 bridging oxygen joining the two chromium centers. Hence terminal oxygens are:

71=67 - 1 = 6

Therefore, the required numerical answer is 66.

Common mistakes

  • Mistake: Taking CC as chromate CrO42CrO_4^{2-} instead of dichromate. Why it is wrong: the reaction with H+H^+ converts chromate into dichromate in acidic medium. What to do instead: first identify BB as chromate, then apply acidification to get C=Cr2O72C = Cr_2O_7^{2-}.

  • Mistake: Counting all 77 oxygen atoms in dichromate as terminal. Why it is wrong: one oxygen is shared between the two chromium atoms as a bridging oxygen (CrOCr)(\mathrm{Cr-O-Cr}). What to do instead: subtract the one bridging oxygen from the total number of oxygens.

  • Mistake: Assuming there are only 44 or 55 terminal oxygens by drawing the structure incorrectly. Why it is wrong: dichromate consists of two tetrahedral chromium centers sharing exactly one oxygen, leaving three terminal oxygens on each chromium. What to do instead: use the structural picture of two CrO4CrO_4 tetrahedra sharing one oxygen, so terminal oxygens are 3+3=63 + 3 = 6.

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