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In the reaction "a A"+"b B"to Products, ...

In the reaction `"a A"+"b B"to` Products, if only concentration of A is doubled the rate becomes quadrupled and if further the vessel is reduced to half the volume, the rate becomes 8 times. The overall order of reaction is

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The correct Answer is:
3
`r=k[A]^alpha[B]^beta=ka^alphab^beta" ...(i)"`
`4r=k(2a)^alpha(b)^beta" ...(iii)"`
Dividing eqn. (ii) by eqn. (i)
`4=2^alpha" or "alpha=2`
Deviding eqn. (iii) by eqn. (ii),
`8=2^alphaxx2^beta=2^2xx2^beta" or "2^beta=2" or "beta=1`
Hence, overall order = 3.
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