Question

N2O5(g)→NO3(g)+NO2(g) Time (s) [N2O5] (M) 0 1.000 25 0.822 50 0.677 75 0.557 100 0.458 125 0.377 150 0.310 175 0.255 200 0.210 Determine the order of the reaction answers

Answer 1

The order of the reaction is 1.

Step-by-step explanation:

`N_2O_5(g)\rightarrow NO_3(g)+NO_2(g)`

The rate law of the reaction ;

`R=k[N_2O_5]^x`

The rate of the reaction from T = 0 s to 25 s,
`[N_2O_5]=1.000 M` to
`[N_2O_5]=0.822 M` respectively.

`R=-(0.822 M-1.000 M)/(25s-0 s)=0.00712 M/s`

`0.00712 M/s=k[0.822 M]^x` ..[1]

The rate of the reaction from T = 25 s to 50 s,
`[N_2O_5]=0.822 M` to
`[N_2O_5]=0.677 M` respectively.

`R=-(0.677 M-0.822 M)/(50s-25 s)=0.0058 M/s`

`0.00646 M/s=k[0.677 M]^x` ..[2]

[1] ÷ [2]

`(0.00712 M/s)/(0.0058 M/s)=(k[0.822 M]^x)/(k[0.677 M]^x)`

Solving for x:

x = 1.05 ≈ 1

The rate law of the reaction ;

`R=k[N_2O_5]^1`

The order of the reaction is 1.