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JEE PYQ: Chemical Kinetics Question 14

Question 14 - 2020 (03 Sep Shift 2)

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

(1) $\dfrac{d n_A}{dt} = \dfrac{3}{2}\dfrac{d n_B}{dt} = \dfrac{3}{4}\dfrac{d n_C}{dt}$

(2) $\dfrac{d n_A}{dt} = \dfrac{d n_B}{dt} = \dfrac{d n_C}{dt}$

(3) $\dfrac{d n_A}{dt} = \dfrac{2}{3}\dfrac{d n_B}{dt} = \dfrac{4}{3}\dfrac{d n_C}{dt}$

(4) $\dfrac{d n_A}{dt} = \dfrac{2}{3}\dfrac{d n_B}{dt} = \dfrac{3}{4}\dfrac{d n_C}{dt}$

Show Answer

Answer: (3)

Solution

For a given reaction, rate $= \frac{1}{2}\frac{dn_A}{dt} = \frac{1}{3}\frac{dn_B}{dt} = \frac{2}{3}\frac{dn_C}{dt}$. So $\frac{dn_A}{dt} = \frac{2}{3}\frac{dn_B}{dt} = \frac{4}{3}\frac{dn_C}{dt}$.


Learning Progress: Step 14 of 41 in this series