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

Answer:

The order of the reaction is 1.

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.

$R=-\frac{0.822 M-1.000 M}{25s-0 s}=0.00712 M/s$

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

$R=-\frac{0.677 M-0.822 M}{50s-25 s}=0.0058 M/s$

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

[1] ÷ [2]

$\frac{0.00712 M/s}{0.0058 M/s}=\frac{k[0.822 M]^x}{k[0.677 M]^x}$

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.