Questions

# Following data is given for the reaction,$\mathrm{X}+\mathrm{Y}\to \mathrm{P}$ExperimentInitial rate I$2.5×{10}^{-4}$$6×{10}^{-5}$$5×{10}^{-4}$II$5×{10}^{-4}$$12×{10}^{-5}$$4×{10}^{-3}$III$1×{10}^{-3}$$12×{10}^{-5}$$1.6×{10}^{-2}$The order of reaction with respect to X and Y respectively are

## Remember concepts with our Masterclasses.

80k Users
60 mins Expert Faculty Ask Questions
a
1 and 2
b
2 and 1
c
1 and 1
d
2 and 2

Check Your Performance Today with our Free Mock Tests used by Toppers!

detailed solution

Correct option is B

Let the order of reaction with respect ta X and Y be a and b, the rate law expression r=k[X]a[Y]bSimilarly,  Exp. I. 5×10−4=k2.5×10−4a6×10−5b            ………(i)                 Exp. II. 4×10−3=k5×10−4a12×10−5b            ………(ii)                 Exp. III. 1.6×10−2=k1×10−3a12×10−5b       ………(iii)From Eqs. (i) and (ii),            4×10−35×10−4=5×10−42.5×10−4a12×10−56×10−5b                                           8=(2)a(2)b                                         ……..(iv)From Eq. (ii) and (iii),            1.6×10−24×10−3=1×10−35×10−4a12×10−512×10−5b                             4=(2)a(2)2=(2)a                          ∴ a=2       On substituting value of a in Eq. (iv), we get                                    8=(2)2(2)b                                 (2)=(2)b or b=1Thus, order of reaction with respect ta X is 2 and with respect to Y is 1.

Talk to our academic expert!

+91

Are you a Sri Chaitanya student?

Create Your Own Test
For the non-stoichiometric reaction $2\mathrm{A}+\mathrm{B}⟶\mathrm{C}+\mathrm{D}$, the following kinetic data were obtained in three separate experiments, all at 298 K.