For a chemical reaction $\mathrm{A}+\mathrm{B} \rightarrow$ Product, the order is 1 with respect to A and B . | Rate $\mathrm{mol} \mathrm{L}^{-1} \mathrm{s}^{-1}$ | [A] $\mathrm{mol} \mathrm{L}^{-1}$ | [B] $\mathrm{mol} \mathrm{L}^{-1}$ | |---|---|---| | 0.10 | 20 | 0.5 | | 0.40 | $x$ | 0.5 | | 0.80 | 40 | $y$ | What is the value of $x$ and $y$ ?

JEE Main · 2023 · 11 Apr 2023 · Shift 2 · Chemical Kinetics

For a chemical reaction

A + B \to

Product, the order is 1 with respect to A and B .

What is the value of

x

and

y

Answer: (A)

The rate law is

r = k [A] [B]

, first order in each reactant. From the first row,

0.10 = k (20) (0.5)

, giving

k = 0.01 L mo l^{- 1} s^{- 1}

. With

[B]

held at

0.5

, the second row gives

0.40 = (0.01) (x) (0.5)

, so

x = \frac{0.40}{0.005} = 80

. For the third row,

0.80 = (0.01) (40) (y)

, so

y = \frac{0.80}{0.4} = 2

. The required values are

x = 80

and

y = 2

JEE Main · 2023 · 11 Apr 2023 · Shift 2 · Single correct option