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Divine JEE 1-on-1
See the following chemical reaction:
Cr2O72−+XH++6 Fe2+→YCr3++6 Fe3++ZH2O\mathrm{Cr}_{2} \mathrm{O}_{7}^{2-}+\mathrm{XH}^{+}+6 \mathrm{~F}_{e}^{2+} \rightarrow \mathrm{YCr}^{3+}+6 \mathrm{~F}_{e}^{3+}+\mathrm{Z} \mathrm{H}_{2} \mathrm{O}Cr2O72−+XH++6 Fe2+→YCr3++6 Fe3++ZH2O
The sum of X,Y\mathrm{X}, \mathrm{Y}X,Y and Z\mathrm{Z}Z is ___________
1. Balancing the Reaction: \\To balance the given reaction in an acidic medium:
Cr2 O72−+14 H++6 Fe2+ → 2 Cr3++6 Fe3++7 H2 O\\ \mathrm{Cr}_2 \mathrm{O}_7^{2-}+14 \mathrm{H}^{+}+6 \mathrm{Fe}^{2+} \rightarrow 2 \mathrm{Cr}^{3+}+6 \mathrm{Fe}^{3+}+7 \mathrm{H}_2 \mathrm{O}\\ Cr2 O72−+14 H++6 Fe2+ → 2 Cr3++6 Fe3++7 H2 O
2. Identify X, YX, YX, Y, and Z:−X=14Z:-X=14Z:−X=14 (moles of H+\mathrm{H}^{+}H+), −Y=2-Y=2\\−Y=2 (moles of Cr3+\mathrm{Cr}^3+Cr3+ ), −Z=7-Z=7−Z=7 (moles of H 2 O{ }_2 \mathrm{O}\\ 2 O 3. Sum of X+Y+ZX+Y+ZX+Y+Z :
X+Y+Z=14+2+7=23X+Y+Z=14+2+7=23X+Y+Z=14+2+7=23
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