Q.

Following data is given for the reaction,X+Y→PThe order of reaction with respect to X and Y respectively are

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a

1 and 2

b

2 and 1

c

1 and 1

d

2 and 2

answer is B.

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Detailed Solution

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.
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