For the reaction `2A+BrarrC`, the values of initial rate at different reactant concentrations are given in the table below. The over all order of reaction is __________.

Answer

3

Explanation

From given data
Rate `=k[A]^a[B]^b`
Now , `0.045=k[0.05]^(a+b)" "….(i) `
`0.090=k[0.05]^(a+b)2a" "…(ii)`
`0.72=k[0.5]^(a+b).2(2a+b)" "….(iii)`
From equation (i) and (ii) we get ,
`implies1/2=1/2^aimpliesa=1`
And from equation (i) and (iii) we get
`implies(0.045)/(0.72)=1/(2^(2+b))implies(45)/(720)=1/(2^(2+b))`
`implies720=2^(2+b)implies2^4=2^(2+b)impliesb=2`