Conisder a reaction `aG+bH rarr` Products. When concentration of both the reactants `G` and `H` is doubled, the rate increases eight times. However, when the concentration of `G` is doubled, keeping the concentration of `H` fixed, the rate is doubled. The overall order of reaction is

Options

A. (a) `0`
B. (b) `1`
C. (c ) `2`
D. (d) `3`

Answer

d

Explanation

`aG+bHrarr Product`
`:' r=K[G]^(a)[H]^(b) …(i)`
`8r=K[2G]^(a)[2H]^(b) …(ii)`
`2r=K[2G]^(a)[H]^(b) …(iii)`
By eqs. (ii) abd (iii), `4=2^(b)`
`b=2`
By eqs. (i) and (ii), `8=2^(a+b)=2^(a+2)`
`a=1`
Overall order `=1+2=3`