Easy MCQ +4 / -1 PYQ · JEE Mains 2020

For the reaction
2A + 3B + ${3 \over 2}$C $\to$ 3P, which statement is correct ?

  1. A ${{d{n_A}} \over {dt}} = {{d{n_B}} \over {dt}} = {{d{n_C}} \over {dt}}$
  2. B $${{d{n_A}} \over {dt}} = {2 \over 3}{{d{n_B}} \over {dt}} = {3 \over 4}{{d{n_C}} \over {dt}}$$
  3. C $${{d{n_A}} \over {dt}} = {3 \over 2}{{d{n_B}} \over {dt}} = {3 \over 4}{{d{n_C}} \over {dt}}$$
  4. D $${{d{n_A}} \over {dt}} = {2 \over 3}{{d{n_B}} \over {dt}} = {4 \over 3}{{d{n_C}} \over {dt}}$$ Correct answer

Solution

2A + 3B + ${3 \over 2}$C $\to$ 3P <br><br>rate = $$ - {1 \over 2}{{d\left[ A \right]} \over {dt}} = - {1 \over 3}{{d\left[ B \right]} \over {dt}} = - {2 \over 3}{{d\left[ C \right]} \over {dt}} = {1 \over 3}{{d\left[ P \right]} \over {dt}}$$ <br><br>$\Rightarrow$ $${{d\left[ A \right]} \over {dt}} = {2 \over 3}{{d\left[ B \right]} \over {dt}} = {4 \over 3}{{d\left[ C \right]} \over {dt}}$$$= - {2 \over 3}{{d\left[ P \right]} \over {dt}}$

About this question

Subject: Chemistry · Chapter: Chemical Kinetics · Topic: Rate of Reaction

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