The rate expression for reaction `A(g) +B(g) rarr C(g)` is rate `=k[A]^(1//2)[B]^(2)`. What change in rate if initial concentration of `A` and B increases by factor 4 and 2 respectively ?

Options

A. 4
B. 6
C. 8
D. None of these

Answer

3

Explanation

Rate `=k[A]^(1//2)[B]^(2)`
`r_(1)=k[a]^(1//2)[b]^(2)," "r_(2)=k[4a]^(1//2)[2b]^(2)`
`rArr" "(r_(1))/(r_(2))=(1)/(2xx4)=(1)/(8)`
`rArr" "r_(2)=8xxr_(1)`