1) This document describes a consecutive first-order reaction where species A reacts to form species B, which then reacts to form species C. The rate equations for each step are provided. 2) If the initial concentrations of A, B, and C are 1, 0, and 0, respectively, the expressions for [A], [B], and [C] as a function of time can be derived. 3) The document requests plotting [A], [B], and [C] over time for the case where k1 = 1 and k2 = 0.1.

1. 連續一級反應(Consecutive First-Order Reactions)
C
k
B
k
A  21
][
][
1 Ak
dt
Ad

][][
][
21 BkAk
dt
Bd

][
][
2 Bk
dt
Cd

假設 0t ， 0][][ AA  ， 0][ B ， and 0][ C
 )exp(][][ 10 tkAA 
而 ][)exp(][
][
2101 BktkAk
dt
Bd

 )exp(][][
][
1012 tkAkBk
dt
Bd

dttkAktk
tk
B
t
)exp(][)(exp(
)exp(
1
][ 10
0
12
2
 
)]exp()[exp(
][
21
12
01
tktk
kk
Ak



))]exp(1())]exp(1([
][
][][][][
2112
12
0
0
tkktkk
kk
A
BAAC




Please plot two figures for [A], [B], and [C] as a function of time for the cases of
(b) .s1k,s10.0k 1
2
1
1

 (Let 0][][ AA  =1.0)