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_______________________________________________ EDP#: 403428 General Chemistry II X19B Spring 2012 - Homework #11 - Due May 7, 2012 **SHOW YOUR WORK...

A
sample
of
wood
from
a
Thracian
chariot
found
in
an
excavation
in
Bulgaria
has
a
14C
activity
of
11.2
dpm/g.
Estimate
the
age
of
the
chariot
and
the
year
it
was
made
(t1/2
for
14C
is
5.73
x
103
years,
and
the
activity
of
14C
in
living
material
is
14.0
dpm/g).

Name: _______________________________________________ EDP#: 403428 General Chemistry II - X19B - Spring 2012 – Homework #11 – Due May 7, 2012 **SHOW YOUR WORK AND CIRCLE YOUR ANSWERS AS APPROPRIATE** 1. Circle True or False for each of the following statements: (1 point each) a.) A beam of alpha radiation is made up of Helium nuclei. T F b.) Positron emission reduces A and leaves Z unchanged. T F c.) The greater the mass detect per nucleon, the less stable the nucleus. T F 2. Complete the following nuclear equations. Write the mass number, atomic number, and symbol for the remaining particle. (1 point each) 9 6 4 a.) 4 Be + ? 3 Li + 2 He 40 40 1 b.) 20 Ca + ? 19 K + 1 H 4 241 243 c.) 2 He + 95 Am 97 Bk + ? 3. Write an equation for each of the following reactions. (1 point each) a.) Galium-67 decays by electron capture. ______________________________________________ b.) Potassium-38 decays with positron emission. ______________________________________________ c.) Technetium-99m decays with γ emission. ______________________________________________ d.) Manganese-56 decays by β emission. ______________________________________________
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4. The mass of nitrogen-14 is 14.003074. Calculate the binding energy per nucleon for Nitrogen-14. (2 points) 5. When a neutron is captured by an atomic nucleus, energy is released as γ radiation. This energy can be calculated based on the change in mass in converting reactant to products. For the nuclear reaction: 6 1 7 3 Li + 0 n 3 Li + γ a.) Calculate the energy evolved in this reaction (per atom). Masses needed (in g/mol) are lithium-6 = 6.01512, lithium-7 = 7.01600, and neutron = 1.00867. (2 points) b.) Use the answer in part a.) to calculate the wavelength of the emitted γ -rays. (1 point) 6. Iodine-131 ( t 1/2 = 8.04 days), a β emitter, is used to treat thyroid cancer. If you ingest a sample of NaI containing 131 I, how much time is required for the activity to decrease to 35.0% of its original value? (2 points) 7. A sample of wood from a Thracian chariot found in an excavation in Bulgaria has a 14 C activity of 11.2 dpm/g. Estimate the age of the chariot and the year it was made ( t 1/2 for 14 C is 5.73 x 10 3 years, and the activity of 14 C in living material is 14.0 dpm/g). (3 points)
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Chemistry-8219468.doc

8219468 Solution
Radio activity follows first order kinetics.
The rate equation can be given as λ= 2.303
No
log
t
N λ= decay constant No = initial activity and N = activity at time t
λ can be...

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