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)]^(2)-2k_(2)[N_(2)O_(4)]`
C. `2k_(2)[NO_(2)]^(2)-k_(2)[N_(2)O_4]`
D. `(2k_(1)-k_(2))[NO_(2)]`

Answer

B

Explanation

`2NO_(2)overset(k_(1))underset(k_(2))hArrN_(2)O_(4)`
`Rate=-(1)/(2)(d[NO_(2)])/(dt)`
`=k_(1)[NO_(2)]^(2)-k_(2)[N_(2)O_(4)]`
`"therefore Rate of disappearance of " NO_(2)`
`i.e, -(d[NO_(2)])/(dt)=2k_(1)[NO_(2)]^(2)-2k_(2)[N_(2)O_(4)]`