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

NTA Abhyas 2020 · Chemistry · Chemical Equilibrium

At 300K, A ⇌ _ ProductΔ G _T^ o = - 200 kJmol ^ - 1 B ⇌ _ ProductΔ...

At 300K,\text{300}\text{K,}

A⇌ProductΔGTo=−200kJmol−1\text{A}\mathop{⇌}_{} \text{Product}\Delta{G}_T^{o} = - 200{kJmol}^{- 1}

B⇌ProductΔGTo=−50kJmol−1\text{B}\mathop{⇌}_{} \text{Product}\Delta{G}_T^{o} = - 50{kJmol}^{- 1}

Thus, the ratio of equilibrium constant at 300K\text{300}\text{K} is

Options

  1. A100100
  2. B10001000
  3. C1000010000
  4. Dnone of these

Correct answer

C. 1000010000

Step-by-step solution

ΔGA∘=−2.303RTlog10KA\Delta {G}_A^{∘} = - {2.303 RT log}_{1 0} {K}_{A}

ΔGB∘=−2.303RTlog10KB\Delta {G}_B^{∘} = - {2.303 RT log}_{1 0} {K}_{B}

∴ΔGA∘ΔGB∘=log⁡10KAKB∴ \dfrac{\Delta {G}_A^{∘}}{\Delta {G}_B^{∘}} = \log_{1 0} \dfrac{{K}_{A}}{{K}_{B}}

4=log⁡10KAKB4 = \log_{1 0} \dfrac{{K}_{A}}{{K}_{B}}

∴KAKB=104=10000∴ \dfrac{{K}_{A}}{{K}_{B}} = 1 {0}^{4} = 1 000 0
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