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NEET 2018
Exam
NEET
Year
2018
Subject
Chemistry
Chapter
Thermodynamics (C)

NEET 2018 · Chemistry · Thermodynamics (C)

The bond dissociation energies of X _ 2 Y _ 2 and XY are in the...

The bond dissociation energies of X2Y2{X}_{2}{Y}_{2} and XYXY are in the ratio of 1:0.5:1.ΔH1: 0 .5 : 1 . \Delta H for the formation of XYXY is −200kJmol−1- 200kJ{mol}^{- 1}. What will be the bond dissociation energy of X2{X}_{2}?

Options

  1. A800kJmol−1800kJ{mol}^{- 1}
  2. B100kJmol−1100kJ{mol}^{- 1}
  3. C200kJmol−1200kJ{mol}^{- 1}
  4. D400kJmol−1400kJ{mol}^{- 1}

Correct answer

A. 800kJmol−1800kJ{mol}^{- 1}

Step-by-step solution

Let B.E. of x2,y2{x}_{2}, {y}_{2} and xyxy are xkJmol−1,0.5xkJmol−1xkJ{mol}^{- 1}, 0 .5 xkJ{mol}^{- 1} and xkJmol−1xkJ{mol}^{- 1} respectively

12X2+12Y2→XY;ΔH=−200kJmol−1\dfrac{1}{2}{X}_{2} + \dfrac{1}{2}{Y}_{2} \to XY; \Delta H = - 200kJ{mol}^{- 1}

ΔH=−200=Σ(B.E)Reactant−Σ(B.E)Product\Delta H = - 200 = Σ{\left(B . E\right)}_{Reactant} - Σ{\left(B . E\right)}_{Product}

−200=[12×(x)+12×(0.5x)]−[1×(x)]- 200 = \left[\dfrac{1}{2} \times \left(x\right) + \dfrac{1}{2} \times \left(0 .5 x\right)\right] - \left[1 \times \left(x\right)\right]⇒x=800kJmol⇒ x = 800kJmol

B.E of X2=800kJmol−1{X}_{2} = 800kJ{mol}^{- 1}
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