1.

For the non-stoichiometric reaction `2A+BrarrC+D` The following kinetic data were obtained in theee separate experiment, all at `98 K` `|{:("Initial concentration (A)","Initial concentration (B)","Initial rate of formation of C" (molL^(-1) s^(-1))),(0.01 M,0.1 M,1.2 xx 10^(-3)),(0.1 M,0.2 M,1.2 xx 10^(-3)),(0.2 M,0.1 M,2.4 xx 10^(-3)):}|` The rate law for the formation of `C` is:A. `(dc)/(dt)=K[A][B]^(2)`B. `(dc)/(dt)=k[A]`C. `(dc)/(dt)=k[A][B]`D. `(dc)/(dt)=k[A]^(2)[B]`

Answer» Correct Answer - B
(I) `R = k[A]^(x)[B]^(y)`
`1.2 xx 10^(-3) = k[0.1]^(x)[0.1]^(y)` …(i)
`1.2 xx 10^(-3) = k[0.1]^(x)[0.2]^(y)` …(ii)
Divide Eq. (ii) by Eq. (i)
`1 = (2)^(y)`
`:. (2)^(0) = (2)^(y) :. y = 0`
(II) `1.2 xx 10^(-3) = k[0.1]^(x)[0.1]^(y)`
`= k[0.1]^(x)` , `(because y = 0)` ...(iii)
`2.4 xx 10^(-3) = k[0.2]^(x)[0.1]^(0)` ...(iv)
Divide Eq. (iv) by Eq. (iii)
`(2)^(1) = (2)^(x) :. x = 1`.
`R = k[A]`
Hence answer (b) is correct.Correct Answer - B
(I) `R = k[A]^(x)[B]^(y)`
`1.2 xx 10^(-3) = k[0.1]^(x)[0.1]^(y)` …(i)
`1.2 xx 10^(-3) = k[0.1]^(x)[0.2]^(y)` …(ii)
Divide Eq. (ii) by Eq. (i)
`1 = (2)^(y)`
`:. (2)^(0) = (2)^(y) :. y = 0`
(II) `1.2 xx 10^(-3) = k[0.1]^(x)[0.1]^(y)`
`= k[0.1]^(x)` , `(because y = 0)` ...(iii)
`2.4 xx 10^(-3) = k[0.2]^(x)[0.1]^(0)` ...(iv)
Divide Eq. (iv) by Eq. (iii)
`(2)^(1) = (2)^(x) :. x = 1`.
`R = k[A]`
Hence answer (b) is correct.


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