Verified Solution • 2025–26 Session moderate

QJEEM24Che331: JEE Main 2024 Chemistry - Class 11 JEEM24Che331 Solution: In acidic medium, shows oxidising action as represented in the…

In acidic medium, K2Cr2O7\mathrm{K}_2 \mathrm{Cr}_2 \mathrm{O}_7 shows oxidising action as represented in the half reaction:

Cr2O72−+XH++Ye⊖→2 A+ZH2O\mathrm{Cr}_2 \mathrm{O}_7{ }^{2-}+\mathrm{XH}^{+}+\mathrm{Ye}^{\ominus} \rightarrow 2 \mathrm{~A}+\mathrm{ZH}_2 \mathrm{O}

X,Y,Z\mathrm{X}, \mathrm{Y}, \mathrm{Z} and A\mathrm{A} are respectively are :

Multiple Choice Options

  • A 14,7,614,7,6 and Cr3+\mathrm{Cr}^{3+}
  • B 14,6,714,6,7 and Cr3+\mathrm{Cr}^{3+}
  • C 8,4,68,4,6 and Cr2O3\mathrm{Cr}_2 \mathrm{O}_3
  • D 8,6,48,6,4 and Cr2O3\mathrm{Cr}_2 \mathrm{O}_3

Step-by-Step Verified Solution

  • Balancing the Half-Reaction

  1. Chromium (Cr) : Already balanced with 2 Cr on each side.

  2. Oxygen (O): Add 7 H₂O to the right:

Cr2O72−+XH++Ye⊖→2 A+7H2O\mathrm{Cr}_2 \mathrm{O}_7{ }^{2-} + \mathrm{XH}^{+} + \mathrm{Ye}^{\ominus} \rightarrow 2 \mathrm{~A} + 7\mathrm{H}_2 \mathrm{O}

  1. Hydrogen (H) : Add 14 H⁺ to the left:

Cr2O72−+14H++Ye⊖→2 A+7H2O\mathrm{Cr}_2 \mathrm{O}_7{ }^{2-} + 14\mathrm{H}^{+} + \mathrm{Ye}^{\ominus} \rightarrow 2 \mathrm{~A} + 7\mathrm{H}_2 \mathrm{O}

  1. Charge : Add 6e⁻ to the left:

Cr2O72−+14H++6e⊖→2 A+7H2O\mathrm{Cr}_2 \mathrm{O}_7{ }^{2-} + 14\mathrm{H}^{+} + 6\mathrm{e}^{\ominus} \rightarrow 2 \mathrm{~A} + 7\mathrm{H}_2 \mathrm{O}

  • Identifying A :

The reduction of Cr₂O₇²⁻ in acidic medium forms Cr³⁺ ions.

  • Final Balanced Equation :

Cr2O72−+14H++6e⊖→2Cr3++7H2O\mathrm{Cr}_2 \mathrm{O}_7{ }^{2-} + 14\mathrm{H}^{+} + 6\mathrm{e}^{\ominus} \rightarrow 2 \mathrm{Cr}^{3+} + 7\mathrm{H}_2 \mathrm{O}

Answer

  • X = 14

  • Y = 6

  • Z = 7

  • A = Cr³⁺

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