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Henfaldsloven (Law of radioactive decay)
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Den absolutte værdi af hen-
Den absolutte værdi af hen-
21
faldshastigheden N ' ( t ) kaldes
faldshastigheden N ' ( t ) kaldes
22
aktiviteten, der er givet ved:
aktiviteten, der er givet ved:
23
Expression 24: "A" left parenthesis, "t" , right parenthesis equals "k" times "N" Subscript, 0 , Baseline times "e" Superscript, negative "k" "t" , Baseline
A
t
=
k
·
N
0
·
e
−
k
t
24
Aktiviteten A ( t ) og antallet af
Aktiviteten A ( t ) og antallet af
25
radioaktive kerner N ( t ) aftager
radioaktive kerner N ( t ) aftager
26
eksponentielt og med samme
eksponentielt og med samme
27
halveringstid T = ln ( 2 ) / k
halveringstid T = ln ( 2 ) / k
28
sekunder. Hvis et radioaktivt
sekunder. Hvis et radioaktivt
29
stof har halveringstiden:
stof har halveringstiden:
30
Expression 31: "T" equals StartAbsoluteValue, 160 , EndAbsoluteValue
T
=
1
6
0
equals
=
160
1
6
0
31
så er henfaldskonstanten k,
så er henfaldskonstanten k,
32
hvis enhed her er sekunder
hvis enhed her er sekunder
33
i minus første, givet ved:
i minus første, givet ved:
34
Expression 35: "k" equals StartFraction, ln left parenthesis, 2 , right parenthesis Over "T" , EndFraction
k
=
l
n
2
T
equals
=
0.0 0 4 3 3 2 1 6 9 8 7 8 5
0
.
0
0
4
3
3
2
1
6
9
8
7
8
5
35
Antal kerner, der henfalder i
Antal kerner, der henfalder i
36
løbet af et sekund, når t = 100:
løbet af et sekund, når t = 100:
37
Expression 38: "k" times "N" Subscript, 0 , Baseline times "e" Superscript, negative "k" times 100 , Baseline
k
·
N
0
·
e
−
k
·
1
0
0
equals
=
1.6 2 9 2 5 7 4 8 4 2 times 10 to the 18th power
1
.
6
2
9
2
5
7
4
8
4
2
×
1
0
1
8
38
Antal kerner, der henfalder i
Antal kerner, der henfalder i
39
løbet af et sekund, når t = 200:
løbet af et sekund, når t = 200:
40
Expression 41: "k" times "N" Subscript, 0 , Baseline times "e" Superscript, negative "k" times 200 , Baseline
k
·
N
0
·
e
−
k
·
2
0
0
equals
=
1.0 5 6 4 4 2 7 7 5 1 times 10 to the 18th power
1
.
0
5
6
4
4
2
7
7
5
1
×
1
0
1
8
41
42
powered by
powered by
"x"
x
"y"
y
"a" squared
a
2
"a" Superscript, "b" , Baseline
a
b
7
7
8
8
9
9
over
÷
functions
(
(
)
)
less than
<
greater than
>
4
4
5
5
6
6
times
×
| "a" |
|
a
|
,
,
less than or equal to
≤
greater than or equal to
≥
1
1
2
2
3
3
negative
−
A B C
StartRoot, , EndRoot
pi
π
0
0
.
.
equals
=
positive
+
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