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Please explain how you got your answer, thanks! N2O5 decomposes according to fir

ID: 787178 • Letter: P

Question

Please explain how you got your answer, thanks!

N2O5 decomposes according to first-order kinetics: 2N2O5(g) rightarrow 4NO2(g) + O2(g) At a certain temperature 20.0% of the initial N2O5decomposes in 2.10 h. Determine the rate constant. What fraction of the initial N2O5 will remain after 13.0 h? What is the half-life? If the initial concentration of N2O5 was 0.222 M, then what concentration remain after 24 h? a. rate constant (h-1) = b. [N2O5] (M) after 13 h = c. half-life (h) = d. [N2O5] (M) after 24 h = A.6.54 B.0.106 C.0.0174 D.0.252

Explanation / Answer

1)


as it is a1st order


K =( 2.303/t)log(initial/final)

K = (2.303/2.1)log(100/100-20)

K =0.106 h^-1

2)

0.106 = (2.303/13)log(100/final)

final = 25.23

100-x = 25.23

x =74.77% completed


c) t 1/2 =0.693/k

t1/2    = 0.693/0.106

           =6.53 h

d)


0.106 = 2.303/24log(100/100-x)

100-x =7.867

x = 92.14