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NTA Abhyas 2020
Exam
NTA Abhyas
Year
2020
Subject
Chemistry
Chapter
Chemical Equilibrium

NTA Abhyas 2020 · Chemistry · Chemical Equilibrium

If Δ G ° [ HI ( g ) = - 1.7 kJ ] , the equilibrium constant for the...

If ΔG°[HI(g)=−1.7kJ]\Delta G ° [ HI ( g ) = - 1.7 k\text{J} ] , the equilibrium constant for the reaction 2HI(g)⇌H2(g)+I2(g)2HI ( g ) ⇌ {H}_{2} ( g ) + {I}_{2} ( g ) at 25°C25 ° C is

Options

  1. A24
  2. B2
  3. C3.6
  4. D0.5

Correct answer

C. 3.6

Step-by-step solution

ΔG°=−2.303RTlogK\Delta G ° = - 2.303RTlog K
logK=−ΔG°2.303RT=−(−1.7×103)2.303×8.314×298=logK=+0.298log K = - \dfrac{\Delta G °}{2.303RT} = - \left(- 1.7 \times {10}^{3}\right)^{2}.303 \times 8.314 \times 298 = logK = + 0.298
K1=K=0.298{K}_{1} = \sqrt{K} = 0.298
H2+I2⇌2HIK1=(0.504)2{H}_{2} + {I}_{2} ⇌ 2HI{K}_{1} = ( 0.504{)}^{2}
2HI⇌H2+I2K2=?2HI ⇌ {H}_{2} + {I}_{2}{K}_{2} = ?
K2=1K1=1(0.504)2=3.6{K}_{2} = \dfrac{1}{K1} = \dfrac{1}{( 0.504{)}^{2}} = 3.6
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