For the non-stoichiometric reaction 2A + B to | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) Let the order of reaction with respect to $A$ and $B$ be $\alpha$ and $\beta$ respectively.The rate law is given by: $\frac{d[C]}{dt} = k[A]^{\alp

Vedclass · Accepted Answer

$\frac{d[C]}{dt} = k[A]$

Vedclass · Answer

(B) Let the order of reaction with respect to $A$ and $B$ be $\alpha$ and $\beta$ respectively.The rate law is given by: $\frac{d[C]}{dt} = k[A]^{\alpha}[B]^{\beta}$From the given data:$1.2 	imes 10^{-3} = k[0.1]^{\alpha}[0.1]^{\beta} \quad (i)$$1.2 	imes 10^{-3} = k[0.1]^{\alpha}[0.2]^{\beta} \quad (ii)$$2.4 	imes 10^{-3} = k[0.2]^{\alpha}[0.1]^{\beta} \quad (iii)$Dividing $(ii)$ by $(i)$:$\frac{1.2 	imes 10^{-3}}{1.2 	imes 10^{-3}} = \frac{k[0.1]^{\alpha}[0.2]^{\beta}}{k[0.1]^{\alpha}[0.1]^{\beta}}$$1 = 2^{\beta} \implies \beta = 0$Dividing $(iii)$ by $(i)$:$\frac{2.4 	imes 10^{-3}}{1.2 	imes 10^{-3}} = \frac{k[0.2]^{\alpha}[0.1]^{\beta}}{k[0.1]^{\alpha}[0.1]^{\beta}}$$2 = 2^{\alpha} \implies \alpha = 1$Thus,the rate law is: $\frac{d[C]}{dt} = k[A]^1[B]^0 = k[A]$.

Initial Conc. $(A)$	Initial Conc. $(B)$	Initial rate of formation of $C \ (mol \ L^{-1} \ s^{-1})$
$0.1 \ M$	$0.1 \ M$	$1.2 \times 10^{-3}$
$0.1 \ M$	$0.2 \ M$	$1.2 \times 10^{-3}$
$0.2 \ M$	$0.1 \ M$	$2.4 \times 10^{-3}$

Similar Questions

Which of the following options correctly represents the relationship between $t_{7/8}$ and $t_{1/2}$ where $t_{7/8}$ represents the time required for the concentration to become $1/8$ of the original for a reaction of order $n$?

Higher order $(> 3)$ reactions are rare due to:

Rate law for a reaction between $A$ and $B$ is given by $R=k[A]^{n}[B]^{m}$. If concentration of $A$ is doubled and concentration of $B$ is halved from their initial value,the ratio of new rate of reaction to the initial rate of reaction $\left(\frac{r_2}{r_1}\right)$ is

For an elementary chemical reaction,$A_2 \underset{k_{-1}}{\overset{k_1}{\longleftrightarrow}} 2A$,the expression for $\frac{d[A]}{dt}$ is

Which of the following is an example of a fractional order reaction?

Vedclass Test Series

Exam Paper Generator

Online Exam Module