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option 1 is correct
unit of rate always same rate = concentration /time then unit of rate is mol^1lit^-1sec^-1, here R=K[CH3COCH3]^3/2.
[ ] this sign show concentration and concentration=mol/lit , R=K[mol/lit]^3/2 ,. put the unit of R then
mol^1 lit^-1 Sec^-1 =K× mol^3/2 lit^-3/2 ,. K= mol^1 lit^-1 sec^-1 /mol^3/2 lit^-3/2 ,. K= mol^-1/2 lit ^1/2 sec^-1 ANS
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