Which of the following rate laws has an overall order of `0.5` for reaction involving substances `x, y` and `z` ?

Options

A. rate : `k_(C_x)^(-0.5)(C_y)^(0.5)(C_z)^(0.5)`
B. rate `: k(C_x)^(0.5)(C_y)^(0.5)(C_z)^(0.5)`
C. rate `: k(C_x)^(1.5)(C_y)^(-1)(C_z)^0`
D. rate `:k(C_x)(C_y)^n (C_z)^2`

Explanation

In the rate law expression.
Rate `=k(C_x)^(1.5)(C_y)^(-1)(C_z)^0`
Order of reaction = Sum of the powers of the concentration of reactants
`=1.5 + (-1) + (0) = 0.5`