JEE MAIN - Chemistry (2020 - 3rd September Evening Slot - No. 3)
For the reaction
2A + 3B + $${3 \over 2}$$C $$ \to $$ 3P, which statement is correct ?
2A + 3B + $${3 \over 2}$$C $$ \to $$ 3P, which statement is correct ?
$${{d{n_A}} \over {dt}} = {{d{n_B}} \over {dt}} = {{d{n_C}} \over {dt}}$$
$${{d{n_A}} \over {dt}} = {2 \over 3}{{d{n_B}} \over {dt}} = {3 \over 4}{{d{n_C}} \over {dt}}$$
$${{d{n_A}} \over {dt}} = {3 \over 2}{{d{n_B}} \over {dt}} = {3 \over 4}{{d{n_C}} \over {dt}}$$
$${{d{n_A}} \over {dt}} = {2 \over 3}{{d{n_B}} \over {dt}} = {4 \over 3}{{d{n_C}} \over {dt}}$$
Explanation
2A + 3B +
$${3 \over 2}$$C
$$ \to $$ 3P
rate = $$ - {1 \over 2}{{d\left[ A \right]} \over {dt}} = - {1 \over 3}{{d\left[ B \right]} \over {dt}} = - {2 \over 3}{{d\left[ C \right]} \over {dt}} = {1 \over 3}{{d\left[ P \right]} \over {dt}}$$
$$ \Rightarrow $$ $${{d\left[ A \right]} \over {dt}} = {2 \over 3}{{d\left[ B \right]} \over {dt}} = {4 \over 3}{{d\left[ C \right]} \over {dt}}$$$$ = - {2 \over 3}{{d\left[ P \right]} \over {dt}}$$
rate = $$ - {1 \over 2}{{d\left[ A \right]} \over {dt}} = - {1 \over 3}{{d\left[ B \right]} \over {dt}} = - {2 \over 3}{{d\left[ C \right]} \over {dt}} = {1 \over 3}{{d\left[ P \right]} \over {dt}}$$
$$ \Rightarrow $$ $${{d\left[ A \right]} \over {dt}} = {2 \over 3}{{d\left[ B \right]} \over {dt}} = {4 \over 3}{{d\left[ C \right]} \over {dt}}$$$$ = - {2 \over 3}{{d\left[ P \right]} \over {dt}}$$
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