作者lthy (给我一杯玛格丽特)
看板b942040XX
标题[课业] 地化作业计算题解答
时间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 过一个半衰期
→7.3*10^6 - 5*10^6 = 2.3*10^6 不算错,但不推荐这种算法
(4) 公式推导自己看或是问同学
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