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For a reaction A+B to C + D, if concentr...

For a reaction `A+B to C + D`, if concentration of A is doubled without altering that of B, rate doubles. If concentration of B is increased nine times without altering that of A, rate triples. Order of the reaction is

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Rate `=k[A]^(m)[B]^(n)` ......(i)
`2 xx ` rate `=k[2A]^(m)[B]^(n)` .....(ii)
`3 xx ` rate `=k[A]^(m)[9B]^(n)` .....(iii)
from equations (i) & (ii), m = 1
from equations (i) & (iii), n = `(1)/(2)`
order `= m + n = 1 + ( 1)/( 2) = 3//2 `
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