The data below show the concentration of N2O5 versus time for the following reaction: 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 Part A Determine the order of the reaction.

Respuesta :

Answer:

First order

Explanation:

Hello,

For this question, the general rate law must be considered:

[tex]\frac{d[N_2O_5]}{dt} =-k[N_2O_5]^n[/tex]

By linearizing it, one could get:

[tex]ln(\frac{d[N_2O_5]}{dt})=ln(k)+nln([N_2O_5])[/tex]

Whereas n stands for the order of the reaction and k the rate constant. For it, I attached an Excel doc for you to see the linearization, in which the slope matches with n, which has a value of 0.999 (neglecting the both the inital and final data otherwise the result is nearly 0.93), thus one could state that the order of the reaction is: first order.

Note: the differential is found by using the centered differentiation formula (Chapra, numerical analysis).

Best regards.

Ver imagen sebassandin