Thedecompositionof nitrogenpentoxide is givenas 2N_(2)O_(5) to 4NO_(2) + O_(2) . The rates of reaction are ([N_(2)O_(5)])/(Delta t ) =k_(1)[N_(2)O_(5)],(Delta[NO_(2)])/(Deltat) = k_(2)[N_(2)O_(5)] and (Delta [O_(2)])/(Delta t) = k_(3) [N_(2)O_(5)] Relatethe rateconstants k_(1) , k_(2) and k_(3) .

Thedecompositionof nitrogenpentoxide is givenas 2N_(2)O_(5) to 4NO_(2)

1.	Thedecompositionof nitrogenpentoxide is givenas 2N_(2)O_(5) to 4NO_(2) + O_(2) . The rates of reaction are ([N_(2)O_(5)])/(Delta t ) =k_(1)[N_(2)O_(5)],(Delta[NO_(2)])/(Deltat) = k_(2)[N_(2)O_(5)] and (Delta [O_(2)])/(Delta t) = k_(3) [N_(2)O_(5)] Relatethe rateconstants k_(1) , k_(2) and k_(3) .
Answer» SOLUTION :The rate of the reaction is given as `-(1)/(2)(DELTA[N_(2)O_(5)])/(DELTAT)=+(1)/(4)(Delta[NO_(2)])/(Deltat)=+(1)/(1)(Delta[O_(2)])/(Deltat)` Substituting the given values of rate in the above expression, `(1)/(2)k_(1)[n_(2)O_(5)]=(1)/(4)k_(2)[N_(2)O_(5)]=(1)/(1)k_(3)[N_(2)O_(5)]` Therefore, the rate constants `k_(1),k_(2)` and `k_(3)` are related as, `2k_(1)=k_(2)=4k_(3)`.