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For a reaction A + B rarr C + D,if the c...

For a reaction A + B `rarr` C + D,if the concentration of A is doubled without altering the concentration of B the rate gets doubled. If the concentration of B is increased by nine times without altering the concentration of A, the rate gets tripled. The order of the reaction is:

A

2

B

1

C

`3//2`

D

`4//3`

Text Solution

Verified by Experts

Rate `= k[A]^(alpha)[B]^(beta)` …(i) `2 xx "rate" = k[2A]^(alpha)[B]^(beta)` …(ii)
`3 xx "rate" = k[A]^(alpha)[9B]^(beta)` …(iii)
From eqs. (i) and (ii). `alpha = 1, " "` From eqs. (i) and (iii) `beta = 1//2`
Order `= alpha + beta = 1 = (1)/(2) = (3)/(2)`
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