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For a hypothetical reaction, the followi...

For a hypothetical reaction, the following kinetic data suggested that the overall order of this reaction is
`{:("[A]",[B],[C]),(mol" "dm^(-3),mol" "dm^(-3),mol" " dm^(-3) s^(-1)),(2.0,1.0,1.0),(2.0,4.0,2.0),(1.0,4.0,1.0):}`

A

3

B

1.5

C

1

D

0.5

Text Solution

Verified by Experts

The correct Answer is:
B

Let rate of reaction , `r=[A]^(a) [B]^(b)`
`1=(2)^(a)(1)^(b)" "…(i)`
`2=(2)^(a)(1)^(b)" "…(ii)`
`1=(1)^(a)(4)^(b)" "…(iii)`
Dividing (ii) by (i)
`((2)^(a)(4)^(b))/((2)^(a)(1)^(b))=(2)/(1)`
`4=2 to b=1//2`
Dividing (ii) by (iii)
`((2)^(a)(4)^(b))/((1)^(a)(4)^(b))=(2)/(1)`
`2^(a) = 2 implies a=1`
`therefore` Rate law expression is , `r=[A][B]^(1//2)`
Order of reaction `=1+(1)/(2)=(3)/(2)=1.5`
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