In a reversible reaction `2NO_(2)underset(k_(2))overset(k_(1))iffN_(2)O_(4)`, the rate of disappearance of `NO_(2)` is equal to

Options

A. `(2k_(1))/(k_(2))[NO_(2)]^(2)`
B. `2" k"_(1)[NO_(2)]^(2)-2" k"_(2)[N_(2)O_(4)]`
C. `2" k"_(1)[NO_(2)]^(2)-k_(2)[N_(2)O_(4)]`
D. `(2" k"_(1)-k_(2))[NO_(2)]`

Answer

B

Explanation

Rate of reaction `= -(1)/(2)(d[NO_(2)])/(dt)`
`=k_(1)[NO_(2)]^(2) -k_(2)[N_(2)O_(4)]`
`therefore` Rate of disapperance of `NO_(2)`
`= (d[NO_(2)])/(dt) = 2 k_(1)[NO_(2)]^(2) - 2k_(2) [N_(2)O_(4)]`