For a reaction `2SO_(2) + O_(2) ltimplies2SO_(3)`, rate of disappearance of `O_(2)` is `2xx10^(-4)` mol `L^(-1)`. The rate of appearance of `SO_(3)` is:

Options

A. `2xx10^(-4)mol L^(-1)s^(-1)`
B. `4 xx 10^(-4)mol L^(-1)s^(-1)`
C. `1 xx 10^(-1)mol L^(-1)s^(-1)`
D. `6 xx 10^(-4)mol L^(-1)s^(-1)`

Answer

B

Explanation

b) `2SO_(2)+O_(2) ltimplies 2SO_(3)`
Rate of reaction:
`-1//2 (d[SO_(2)])/(dt) = (-d[O_(2)])/(dt) = 1/2(d[SO_(3)])/(dt)`
`2 xx 10^(-4) mol L^(-1)=1/2 (d[SO_(2)])/(dt)`
`(d[SO_(3)])/(dt) = 2 xx 2 xx 10^(-4) mol L^(-1)s^(-1)`
`=4xx10^(-4)mol L^(-1)s^(-1)`