Question

$2NO\left(g\right)+C{l}_2\left(g\right)\to 2NOCl\left(s\right):$ This reaction was studied at $–{10}^{o}C$and the following data was obtained

Run	$[NO{]}_0$	$Cl{]}_0$	$r_0$
1	0.10	0.10	0.18
2	0.10	0.20	0.35
3	0.20	0.20	1.40

$[NO{]}_0$ and $[C{l}_2{]}_0$ are the initial concentrations and $r_0$ is the initial reaction rate. The overall order of the reaction is . (Round off to the Nearest Integer).

• A. 3.00
• B. 3
• C. 3.0

Answer 1

Answer: (A), (B), (C)

Answer: (3)

$\text{Exp.}\left(I\right):0.18=K\left(0.1{)}^x\right(0.1{)}^y....\left(1\right)$

$\text{Exp.}\left(II\right):0.35=K\left(0.1{)}^x\right(0.2{)}^y....\left(2\right)$

$\text{Exp.}\left(III\right):1.40=K\left(0.2{)}^x\right(0.2{)}^y....\left(3\right)$

$\left(2\right)÷\left(3\right)$

$\frac{0.35}{1.40}=\frac{K\times \left(0.1{)}^x\right(0.2{)}^y}{K\left(0.2{)}^x\right(0.2{)}^y}$
$\frac{1}{4}={\left(\frac{1}{2}\right)}^x\Rightarrow x=2$

$\left(1\right)÷\left(2\right)$
$\frac{1}{2}={\left(\frac{1}{2}\right)}^y\Rightarrow y=1$
Thus, the order of reaction is 2+1 = 3.
It is a third order reaction.