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Calculate the order of reaction, A rarr ...

Calculate the order of reaction, A `rarr` Product, from the following data:
`{:([A],d[Product]//dt),("(moles/L)","(moles/L/s)"),(0.003,10.0xx10^(-5)),(0.006,5.0xx10^(-5)),(0.012,2.5xx10^(-5)):}`

A

1

B

`-2`

C

`-1`

D

2

Text Solution

Verified by Experts

The correct Answer is:
C
From `1^(st)` reading
rate = 10.0 `xx 10^(-5) = k [0.003]^n` ….(i)
(where,n is order of reaction)
From `2^(nd)` reading
rate=`5.0xx10^(-5)=k[0.006]^n` ….(ii)
On dividing (i) by (ii),
`(10.0xx10^(-5))/(5.0xx10^(-5))=(k[0.003]^n)/(k[0.006]^n) implies 2=(1/2)^n implies n=-1`
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