For the reaction `2N_(2)O_(5 )rarrNO_(2)+O_(2)` rate of reaction is :

Options

A. `(1)/(2)(d)/(dt)[N_(2)O_(5)]`
B. `2(d)/(dt)[N_(2)O_(5)]`
C. `(1)/(4)(d)/(dt)[NO_(2)]`
D. `4(d)/(dt)[NO_(2)]`

Answer

c

Explanation

In general for a reaction,
`x_(1)4 + x_(2) B to y_(1)C +y_(2)D`
the rate expression may be expressed as
`-(1)/(x_(1))(d[A])/(dt)=(1)/(x_(2))(d[B])/(dt)=(1)/(y_(1))(d[C])/(dt)=(1)/(y_(2))(d[Dt])/(dt)`
for `2NO_(2) O_(5) to 4NO_(2) +O_(2)`
`-(1)/(2)(d[N_(2)O_(5)])/(dt)=(1)/(4)(d[NO_(2)])/(dt)(d[O_(2)])/(dt)`