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3.(3) The hal-life of ytterbium-169 is 32.0 days. How long will i take for a 2.5

ID: 635357 • Letter: 3

Question

3.(3) The hal-life of ytterbium-169 is 32.0 days. How long will i take for a 2.50 g sample to decay until 0200 grams of the remains? isotope a) Which type of radiation has the greatest ionizing ability? b) Which has the greatest penetrating ability? c) Which is most dangerous if ingested or inhaled - and why? 4. (4) 5.(3) The reaction that allows s for radiocarbon dating is INn C+ 'H. Which is the energy change associated with this reaction in kJ? (Masses: N-14 14.003074 gmol; ?-14 14.003241 gmoli H-1 î.007825gmols neutron L008665 gml)

Explanation / Answer

Ans 3

Half life t1/2 = 32 days

Time t =?

Initial amount = 2.50 g

Final amount = 0.200 g

Final amount = Initial amount x (0.5)^(t/t1/2)

0.200 = 2.50 x (0.5)^(t/32)

0.08 = (0.5)^(t/32)

Take natural logarithm on both sides

ln 0.08 = (t/32) ln0.5

t/32 = 3.644

t = 116.6 days

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