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Q. For the decomposition of $HI$ at $1000\, K$ ($2HI \rightarrow H _{2}+ I _{2}$ ), the following data were obtained
$[HI] (M) \,\,$ Rate of decomposition of $HI (mol \,L ^{-1} s ^{-1}$ )
$0.1 \,\,\,\,\,\,\,\,\, 2.75\times 10^{-8}$
$0.2 \,\,\,\,\,\,\,\,\,\, 11 \times 10^{-8}$
$0.3 \,\,\,\,\,\,\,\,\,\,\, 24.75 \times 10^{-8}$
The order of reaction is:

Chemical Kinetics

Solution:

Rate $=k[ HI ]^{n}$

$11 \times 10^{-8}=k[0.2]^{n} \,\,\,\,\, (1)$

$2.75 \times 10^{-8}=k[0.1]^{n} \,\,\,\,\, (2)$

Dividing eq. (i) by eq. (ii),

$4=2^{n}, n=2$