Radiometric Decay Lab, need help with questions %of Parent Atom Number of Half-l
ID: 288177 • Letter: R
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Radiometric Decay Lab, need help with questions
%of Parent Atom Number of Half-lif |%of Daughter! Parent:Daughter! Determination Remianinig 100.00 98.92 97.86 95.76 Factor Atom ratio 0.0000 0.0156 1/64 1/32 91.833 45.668 22.587 11.049 5.285 0.0313 0.0625 0.1250 0.2500 0.5000 1.0000 1.5000 2.0000 2.5000 3.0000 3.5000 4.0000 4.5000 5.0000 5.5000 6.0000 8.30 15.91 29.29 84.09 70.71 50.00 35.36 25.00 17.68 12.50 1.000 0.547 0.333 0.215 0.143 0.097 0.067 0.046 0.032 0.023 0.016 0.011 0.008 0.006 64.64 75.00 82.32 87.50 91.16 2 95.58 96.88 97.79 98.44 98.90 99.22 2.21 6.5000 7.0000 0.78 0.55 0.39 0.28 0.20 7.5000 8.0000 8.5000 9.0000 9.5000 10.0000 10.5000 11.0000 11.5000 12.0000 99.61 99.72 0.003 99.86 99.90 99.93 99.95 99.97 99.98 0.001 0.001 0.000 0.000 0.000 10 0.07 0.05 0.02 12 Parent Daughter Half-life Useful Dating Dateable Minerals Isotope 4Samarium 143 Neodymium 106 billion >10,000,000 Garnets, Micas RubidiumStrontium 48.8 billion10,000,000K-bearing minerals (mica, feldsfer, Product Range (Years) hornblende)Explanation / Answer
1. a Given t1/2=5370 years
t=ln(N/No)*t1/2
N/No=6.25/100=0.0625
t=In(0.0625)/(-0.693)*5370
t=(-2.772/-0.693)*5370
t=4*5370=21,480 years
b. Given t1/2= 1.3*109 years
N/No=97.9/100=0.979
t= In(N/No)/0.693)*t1/2
t=(In 97.9/100)/0.693)*1.3*109
t=(In 0.979/-0.693)*1.3*109
t=(-0.02/-0.693)*1.3*109
t=0.0288*1.3*109
t=0.03744*109
t=37,440,000 years
Since 1 Ma=106 years
t=37.44 Ma
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