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Q.

For the reaction 2A+B→C, the values of initial rate at different reactant concentrations are given in the table below. The rate law for the reaction is :

[A]mol L-1)[B]mol L-1)Initial Rate (mol L-1s-1)
0.050.050.045
0.100.050.090
0.200.100.72

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a

Rate=k[A][B]

b

Rate=k[A]2[B]

c

Rate=k[A][B]2

d

Rate=k[A]2[B]2

answer is C.

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Detailed Solution

r=K[A]x[B]y

0.045=K(0.05)x(0.05)y  .(1)

0.090=K(0.10)x(0.05)y  (2)

0.72=K(0.20)x(0.10)y  (3)

Dividing (1) by (2) we get

0.0450.090=0.050.10xx=1

Dividing (2) by (3)

0.0900.720=0.100.20x0.050.10yy=2

 Hence, r=K[A][B]2

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