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

$(iii)$ $CH _{3} CHO ( g ) \rightarrow CH _{4}( g )+ CO ( g ) \quad$ Rate $=k\left[ CH _{3} CHO \right]^{3 / 2}$

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$(iii)$ Given rate $=k\left[ CH _{3} CHO \right]^{3 / 2}$

Therefore, order of $=\frac{3}{2}$

Dimension of $k=\frac{\text { Rate }}{\left[ CH _{3} CHO \right]^{\frac{3}{2}}}$

$=\frac{m o l\, L^{-1} \,s^{-1}}{\left(m o l \,L^{-1}\right)^{\frac{3}{2}}}$

$=\frac{m o l\, L^{-1} \,s^{-1}}{m o l^{\frac{3}{2}} \,L^{\frac{3}{2}}}$

$=L^{\frac{1}{2}} m o l^{\frac{1}{2}} s^{-1}$

Similar Questions

The following data is given for reaction between $A$ and $B$

$S.NO.$  $[A]$    $mol.L^{-1}$  $[B]$    $mol.L^{-1}$ $Rate$    $mol.L^{-1}\,sec^{-1}$
$I$ $1 \times 10^{-2}$ $2 \times 10^{-2}$ $2 \times 10^{-4}$
$II$ $2 \times 10^{-2}$ $2 \times 10^{-2}$ $4 \times 10^{-4}$
$III$ $2 \times 10^{-2}$ $4 \times 10^{-2}$ $8 \times 10^{-4}$ 

  Which of the following are correct statements -

$(a)$  Rate constant of the reaction $10^{-4}$

$(b)$  Rate law of the reaction is $k[A][B]$

$(c)$  Rate of reaction increases four times on doubling the concentration of both the reactant

For the non-stoichiometric reaction $2A + B \to C + D,$ the following kinetic data were  obtained in three separate experiments, all at $298\,K$.

Initial Conc.
 $(A)$
Initial Conc.
 $(B)$

Initial rate of
formation of $C\,(mol\, L^-S^-)$

$0.1\,M$ $0.1\,M$ $1.2 \times 10^{-3}$
$0.1\,M$ $0.2\,M$ $1.2 \times 10^{-3}$
$0.2\,M$ $0.1\,M$ $2.4 \times 10^{-3}$

For the reaction the rate of formation of $C$ will be

Select the correct statement

The rate law for the reaction below is given by the expression $k\left[ A \right]\left[ B \right]$ 

                                          $A + B \to$ Product 

If the concentration of $B$ is increased from $0.1$ to $0.3\, mole$, keeping the value of $A$ at $0.1\, mole$, the rate constant will be

  • [JEE MAIN 2016]

Which of these does not influence the rate of reaction