From the rate expression for the following reactions, determine their order of reaction and the dimensions of the rate constants.

$(i)$ $3 NO ( g ) \rightarrow N _{2} O$ $(g)$ Rate $=k[ NO ]^{2}$

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$(i)$ Given rate $=k[ NO ]^{2}$

Therefore, order of the reaction $=2$

Dimension of $k=\frac{\text { Rate }}{[ NO ]^{2}}$

$=\frac{\operatorname{mol}\, L^{-1} \,s^{-1}}{\left(\operatorname{mol}\, L^{-1}\right)^{2}}$

$=\frac{\operatorname{mol}\, L^{-1} \,s^{-1}}{\operatorname{mol}^{2} \,L^{-2}}$

$=L \,m o l^{-1}\, s^{-1}$

Similar Questions

The reaction $2{H_2}{O_2} \to 2{H_2}O + {O_2}$ is a

For the reaction

$2H_2 + 2NO \to N_2 + 2H_2O$

the following mechanism has been proposed

$(i)$  $2NO \rightleftharpoons N_2O_2\,$   (fast)

$(ii)$ $N_2O_2 + H_2 \xrightarrow{{{k_2}}} N_2O + H_2O\,$    (slow)

$(iii)$  $N_2O + H_2 \to N_2 + H_2O\,$   (fast)

then what will be the rate law of this reaction ?

During Kinetic study of reaction $2 A+B \rightarrow C+D$, the following results were obtained :

  $A[M]$ $B[M]$

initial rate of

formation of $D$

$i$ $0.1$ $0.1$ $6.0 \times 10^{-3}$
$ii$ $0.3$ $0.2$ $7.2 \times 10^{-2}$
$ii$ $0.3$ $0.4$ $2.88 \times 10^{-1}$
$iv$ $0.4$ $0.1$ $2.40 \times 10^{-2}$

Based on above data, overall order of the reaction is $\qquad$

  • [JEE MAIN 2024]

For the reaction

$2 \mathrm{H}_{2}(\mathrm{g})+2 \mathrm{NO}(\mathrm{g}) \rightarrow \mathrm{N}_{2}(\mathrm{g})+2 \mathrm{H}_{2} \mathrm{O}(\mathrm{g})$

the observed rate expression is, rate $=\mathrm{k}_{\mathrm{f}}[\mathrm{NO}]^{2}\left[\mathrm{H}_{2}\right] .$ The rate expression of the reverse reaction is

  • [JEE MAIN 2020]

For a reaction $A+ B\to $  Products, the rate law is - Rate $=$ $k\,[A]\, [B]^{\frac {3}{2}}$ . Can the reaction be an elementary reaction ? Explain.