For the reaction, 4 KClO 3 arrow 3 KClO 4+ KCl if (-d[ KClO 3]/dt)=k1[ KClO 3]4, (d[ KClO 4]/dt)=k2[ KClO 3]4, (d[ KCl ]/d t)=k3[ KClO 3]4 , the correct relation between k1, k2 and k3 is

Question

For the reaction, 4 KClO 3 arrow 3 KClO 4+ KCl if (-d[ KClO 3]/dt)=k1[ KClO 3]4, (d[ KClO 4]/dt)=k2[ KClO 3]4, (d[ KCl ]/d t)=k3[ KClO 3]4 , the correct relation between k1, k2 and k3 is (A) k1=k2=k3 (B) 4 k1=3 k2=k1 (C) 3 k1=4 k2=12 k3 (D) none of these

Tardigrade Admin · Accepted Answer

Rate =-(1/4) (d[ KClO 3]/d t)=(1/3) (d[ KClO 4]/d t)=(d[ KCl ]/d t) or (k1/4)[ KClO 3]4=(k2/3)[ KClO 3]4=k3[ KClO 3]4 or 3 k1=4 k2=12 k3

Q. For the reaction, $4 K Cl O_{3} \to 3 K Cl O_{4} + K Cl$ if $\frac{- d [ K Cl O _{3} ]}{d t} = k_{1} [K Cl O_{3}]^{4}, \frac{d [ K Cl O _{4} ]}{d t} = k_{2} [K Cl O_{3}]^{4}$ , $\frac{d [ K Cl ]}{d t} = k_{3} [K Cl O_{3}]^{4}$ ,
the correct relation between $k_{1}, k_{2}$ and $k_{3}$ is

$k_{1} = k_{2} = k_{3}$

$4 k_{1} = 3 k_{2} = k_{1}$

$3 k_{1} = 4 k_{2} = 12 k_{3}$

none of these

Rate $= - \frac{1}{4} \frac{d [ K Cl O _{3} ]}{d t} = \frac{1}{3} \frac{d [ K Cl O _{4} ]}{d t} = \frac{d [ K Cl ]}{d t}$

or $\frac{k _{1}}{4} [K Cl O_{3}]^{4} = \frac{k _{2}}{3} [K Cl O_{3}]^{4} = k_{3} [K Cl O_{3}]^{4}$

or $3 k_{1} = 4 k_{2} = 12 k_{3}$

Q. For the reaction, 4KClO3​→3KClO4​+KCl if dt−d[KClO3​]​=k1​[KClO3​]4,dtd[KClO4​]​=k2​[KClO3​]4, dtd[KCl]​=k3​[KClO3​]4 , the correct relation between k1​,k2​ and k3​ is

k1​=k2​=k3​

4k1​=3k2​=k1​

3k1​=4k2​=12k3​