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The data given below are for the reactio...

The data given below are for the reaction of A and `D_(2)` to form product at 295K. Find the correct rate expression for this reaction

A

`k[D_(2)]^(1)[A]^(2)`

B

`k[D_(2)]^(2)[A]^(1)`

C

`k[D_(2)]^(1)[A]^(1)`

D

`k[D_(2)]^(2)[A]^(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
From the data (1) and (2)
`([r_(D_(2))]_(2))/([r_(D_(2))]_(1))=(K[D_(2)]_(2))/(K[D_(2)]_(1))`
i.e., `(3 xx 10^(-3))/(1 xx 10^(-3))= ([0.15])/([0.05])`
`(3)= [3]^(n)`
`because` Rate `(r ) prop ["concentration"]^(n)`, where n= order
`therefore r(D)_(2)= [3]^(1)`
`therefore` Order of `r[D_(2)]=1`
Similarly, from data (1) and (3)
`((r_(A))_(3))/((r_(A))_(1))= (k[A]_(3))/(k[A]_(1))`
`rArr (9 xx 10^(-3))/(1 xx 10^(-3))= (0.15)/(0.05)=3`
`because` rate `(r )= ["conc"]^(n)`
`therefore a= [3]^(2)` or order for [A]=2
Hence, rate expression `=k [D_(2)]^(1).[A]^(2)`
`therefore` (a) is the correct answer.
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