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. `2k_(1)[NO_(2)]-2k_(2)[N_(2)O_(4)]`
C. `2k_(1)[NO_(2)]-2k_(2)[N_(2)O_(4)]`
D. `(2k_(1)-k_(2))[NO_(2)]`

Answer

C

Explanation

`2NO_(2)underset(k_(2))overset(k_(1))ltimpliesN_(2)O_(4)`
Rate of reaction,
`-1/2(d[NO_(2)])/(dt) = k_(1)[NO_(2)]^(2) - k_(2)[N_(2)O_(4)]`
Rate of disappearance of `NO_(2)`
`(-d[NO_(2)])/(dt) = 2k_(1)[NO_(2)]^(2)-2k_(2)[N_(2)O_(4)]`