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JEE PYQ: Chemical Kinetics Question 35

Question 35 - 2019 (09 Jan Shift 2)

For the reaction, $2\text{A} + \text{B} \to$ products, when the concentrations of A and B both were doubled, the rate of the reaction increased from 0.3 mol $\text{L}^{-1}\text{s}^{-1}$ to 2.4 mol $\text{L}^{-1}\text{s}^{-1}$. When the concentration of A alone is doubled, the rate increased from 0.3 mol $\text{L}^{-1}\text{s}^{-1}$ to 0.6 mol $\text{L}^{-1}\text{s}^{-1}$. Which one of the following statements is correct?

(1) Total order of the reaction is 4

(2) Order of the reaction with respect to B is 2

(3) Order of the reaction with respect to B is 1

(4) Order of the reaction with respect to A is 2

Show Answer

Answer: (2)

Solution

$r = K[\text{A}]^x[\text{B}]^y$. $\frac{r_2}{r_1} = 2^x \cdot 2^y = \frac{2.4}{0.3} = 8$, so $x + y = 3$. $\frac{r_3}{r_1} = 2^x = \frac{0.6}{0.3} = 2$, so $x = 1$. Therefore $y = 2$.


Learning Progress: Step 35 of 41 in this series