During the kinetic study of the reaction,2A + | vedclass

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

Question

(D) Let the order of reaction with respect to $A$ be $x$ and with respect to $B$ be $y$.The rate law is given by: $	ext{Rate} = k[A]^x[B]^y$Using the

Vedclass · Accepted Answer

Rate $= k[A][B]^2$

Vedclass · Answer

(D) Let the order of reaction with respect to $A$ be $x$ and with respect to $B$ be $y$.The rate law is given by: $	ext{Rate} = k[A]^x[B]^y$Using the data from the table:$I. \ 6.0 	imes 10^{-3} = k(0.1)^x(0.1)^y$$II. \ 7.2 	imes 10^{-2} = k(0.3)^x(0.2)^y$$III. \ 2.88 	imes 10^{-1} = k(0.3)^x(0.4)^y$$IV. \ 2.40 	imes 10^{-2} = k(0.4)^x(0.1)^y$Dividing Eq. $(I)$ by Eq. $(IV)$:$\frac{6.0 	imes 10^{-3}}{2.40 	imes 10^{-2}} = \left(\frac{0.1}{0.4}ight)^x \left(\frac{0.1}{0.1}ight)^y$$0.25 = (0.25)^x \implies x = 1$Dividing Eq. $(II)$ by Eq. $(III)$:$\frac{7.2 	imes 10^{-2}}{2.88 	imes 10^{-1}} = \left(\frac{0.3}{0.3}ight)^x \left(\frac{0.2}{0.4}ight)^y$$0.25 = (0.5)^y \implies (0.5)^2 = (0.5)^y \implies y = 2$Therefore,the rate law is: $	ext{Rate} = k[A]^1[B]^2 = k[A][B]^2$.

$Run$	$[A] / mol \ L^{-1}$	$[B] / mol \ L^{-1}$	Initial rate of formation of $D / mol \ L^{-1} \ min^{-1}$
$I.$	$0.1$	$0.1$	$6.0 \times 10^{-3}$
$II.$	$0.3$	$0.2$	$7.2 \times 10^{-2}$
$III.$	$0.3$	$0.4$	$2.88 \times 10^{-1}$
$IV.$	$0.4$	$0.1$	$2.40 \times 10^{-2}$

$[A]_0 / \text{mol } L^{-1}$	$t_{1/2} / \text{min}$
$0.100$	$200$
$0.025$	$100$

Similar Questions

For $n$th order of reaction,half-life period is directly proportional to

The hydrolysis of ethyl acetate is a reaction of $.........$ order.
$CH_3COOEt + H_2O \xrightarrow{H^{+}} CH_3COOH + EtOH$

Which one of the following statements is correct for the reaction?
$CH_3COOC_2H_5(aq) + NaOH(aq) \longrightarrow CH_3COONa(aq) + C_2H_5OH(aq)$

For the reaction $A + B \rightarrow$ product,the rate of reaction is $3.6 \times 10^{-2} \ mol \ dm^{-3} \ sec^{-1}$. When $[A] = 0.2 \ mol \ dm^{-3}$ and $[B] = 0.1 \ mol \ dm^{-3}$,find the rate constant of the reaction if it is second order with respect to both reactants.

Vedclass Test Series

Exam Paper Generator

Online Exam Module