For the elementary reaction
`2SO_(2)(g)+O_(2)(g)to2SO_(3)(g)`, identify the correct among the following relations

Options

A. `(-d[SO_(2)(g)])/(dt)=(-d(O_(2)(g)])/(dt)`
B. `(+1)/2(d[SO_(3)(g)])/(dt)=(d(SO_(2)(g)])/(dt)`
C. `(+d[SO_(3)(g)])/(dt)=(-2d(O_(2)(g)])/(dt)`
D. `(+d[SO_(2)(g)])/(dt)=(-d(O_(2)(g)])/(dt)`

Answer

C

Explanation

For an elementary reaction,
`2SO_(2)(g)+O_(2)(g)to2SO_(3)(g)`,the instantaneous rate of reaction is expressed as,
`r_(inst)=(-1)/2d([SO_(2)])/(dt)=-(d[O_(2)])/(dt)=1/2(d[SO_(3)])/(dt)`
Thus, `(d[SO_(3)])/(dt)=-(2d[O_(2)])/(dt)`
Hence, option 'c' is correct.