1.

For a first order reaction involving decomposition of N_(2) O_(5) the following information is available : 2N_(2)O_(5)(g) rarr 4NO_(2) (g) +O_(2)(g) Rate =k [N_(2)O_(5)] N_(2)O_(5)(g) rarr 2NO_(2)(g) +1//2 O_(2) (g) Rate =k [N_(2)O_(5)) Which of the following expressions is true ?

Answer»

k=k
k=2k
k=1/2k
k `gt k`

Solution :(B) `2N_(2)O_(5)(G) rarr4NO_(2) +O_(2)(g) `
Rate = `=-(1)/(2)([N_(2)O_(5)])/(DT)=2k[N_(2)O_(5)]`
or Rate=` -(d[N_(2)O_(5)])/(dt)=2k[N_(2)O_(5)]`
For `N_(2)O_(5)rarr2NO_(2)+(1)/(2)O_(2)`
`-(d[N_(2)O_(5)])/(dt)=k[N_(2)O_(5)]`
or Rate `= - (d[N_(2)O_(5)])/(dt)= k[N_(2)O_(5)]`
Since rate must be same k = 2k


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