For the reaction between $A$ and $B$ , the initial rate of reaction $(r_0)$ was measured for different initial concentration of $A$ and $B$ as given below Order of the reaction with respect to $A$ and $B$ respectively, is $\sqrt 2  = 1.4 ,\,\sqrt 3  \times 10^{-4}$ 

$A/mol\,L^{-1}$ $0.2$ $0.2$ $0.4$
$B/mol\,L^{-1}$ $0.3$ $0.1$ $0.05$
$r_0/mol^{-1}s^{-1}$ $5.0\times 10^{-5}$ $5.0\times 10^{-5}$ $1.4\times 10^{-4}$

  • A

    $\frac{1}{2},\,0$

  • B

    $\frac{3}{2},\,\frac{1}{3}$

  • C

    $\frac{3}{2},\,0$

  • D

    $0,\,\frac{5}{2}$

Similar Questions

The one which is unimolecular reaction is

What is the order of reaction' for $A + B \to C$

Observation $[A]$ $[B]$ Rate of reaction
$1$ $0.1$ $0.1$ $2\times10^{-3}\, mol\, L^{-1}\,sec^{-1}$
$2$ $0.2$ $0.1$ $0.4\times10^{-2}\, mol\, L^{-1}\,sec^{-1}$
$3$ $0.1$ $0.2$ $1.4\times10^{-2}\, mol\, L^{-1}\,sec^{-1}$

The experimental data for reaction
$2A + B_2 \longrightarrow 2AB$

Exp. $[A]$ $[B_2]$ Rate $(mol\,L^{-1}\,S^{-1})$
$1$ $0.50$ $0.50$ $1.6 \times {10^{ - 4}}$
$2$ $0.50$ $1.00$ $3.2 \times {10^{ - 4}}$
$3$ $1.00$ $1.00$ $3.2 \times {10^{ - 4}}$

The rate law

For $n^{th}$ order reaction where $(n < 1)$

If the rate constant $(K)$ of a reaction is $1.6 \times 10^{-3}\, mol\, L^{-1}\, min^{-1}$ the order of reaction is