`2A(g)+B(g)rarr` Product. At a particular temperature, the reaction -rate is r and partial pressures of A and B are `p_(A) and p_(B)` , respectively . At the same temperature if partial pressures of A and B are `p_(A)//2 and p_(B) ` respectively , then reaction - rate becomes `r//4` , and when they are `p_(A)//2 and p_(B)//2` , respectively , reaction - rate becomes `r//2` . Rate equation of the reaction is -

Options

A. `r=kxxp_(A)xxp_(B)`
B. `r=kxxp_(A)^(1//2)xxp_(B)`
C. `r=kxxp_(A)xxp_(B)^(2)`
D. `r=kxxp_(A)^(2)xxp_(B)^(-1)`

Answer

D