webwork 4

① start 520
3h 1560 .




a) dP=kP
It

Pct )
-
- poekt
Po =
520

P( 3) = 1560



PL 3) = poems)
3K
1560 = Poe
's
1560 =
520 e3
1561 =e3k
520



( Eff )
"
-
3k




sin ( II)
* ' '




1h32
K =
20.36620



0.3664
Plt ) = poe



b) 1=2
0.366212 )
PLZ ) -
-
520 e I 1081,6347


c) Pct ) -
1030


0.3662cL)
1030=520 @



t =
1.8664


② dim
= -


km
at


Kat
Imam
= -




Im dm -
f -

Kdt


In Imf = -
K Ltc
-




m
-
-
e
-


kttec

, - Kt c
m
=
e e


Kt
MH)= Ce
-




4=680
m ( 680) =
0.63C


-
680K
0.63C
=
Ce


- 680K
e
0.63
=




In ( 0.63 ) = 680K
-




K = -
In 10.63)

680



a) half life =
0.5C

In ( 0.63)
t
Eso
0.5C =
Ce


Into -63)
t
Gso
0.5
=
e




In 10.5 ) =
Into -63 ) f
.




680



680 Into -5) 1020.138
-L= days
=




In 10.63 )



b) 100 →
96mg
M ( 100) =
96

C =
100 m
= 96


In 10.63) f
680

96=1002

In ( 0.633£
680
0.96 e
=




In 10.96 ) =
In 10.63)
e
680




f. 680 In 10.96) 60,0797
days
= =




In 10.63 )