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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