作者lthy (給我一杯瑪格麗特)
看板b942040XX
標題[課業] 地化作業計算題解答
時間Sun Nov 11 16:13:02 2007
HW5 (1) 238U theoretical mass = 239.98499 amu
atomic weight = 238.0508 amu
(2) ~79.4% , 50% , ~9.78*10^(-4) , ~8.0*10^-31
(3) a. D0/N0 = 0, D* = N[exp(λt) - 1]
D*/N = N[exp(λt) - 1] / N = 1.75 ,x/(1-x)=1.75,x=7/11
N = (4/11)N0 = N0exp(-λt) , exp(-λt) = (4/11)
t = ln(4/11)*(5*10^6)/(-ln2) = ~7.3*10^6 yrs
b. D0/N0 = 1 ,
D/N = {N[exp(λt) - 1] + N0} / N = 1.75
(1+x)/(1-x)=1.75 x=3/11 , 1-x = 8/11
N = (8/11)N0 , exp(-λt) = (8/11)
t = ln(8/11)*(5*10^6)/(-ln2) = ~2.3*10^6 yrs
or D0/N0 = 1 是 D0/N0 =0 過一個半衰期
→7.3*10^6 - 5*10^6 = 2.3*10^6 不算錯,但不推薦這種算法
(4) 公式推導自己看或是問同學
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