Question

The radioactive plutonium isotope, 239Pu, has an half-life of 24 100 years and undergoes alpha decay. The molar mass of 239Pu is 239.0521634 amu. The sample initially contains 10.0 g of 239Pu.

(a) Calculate the number of moles of 239Pu that are left in the sample after 15 000 years. (4)

(b) Determine the activity of 239Pu after 15 000 years, in units of Bq.

Answer #1

The radioactive plutonium isotope, 239Pu, has an
half-life of 24 100 years and undergoes alpha decay. The molar mass
of 239Pu is 239.0521634 amu. The sample initially
contains 10.0 g of 239Pu. (a) Calculate the number of
moles of 239Pu that are left in the sample after 15 000
years. (4) (b) Determine the activity of 239Pu after 15
000 years, in units of Bq.

The
radioactive nuclide Plutonium-199 has a half-life of 43.0 min. A
sample is prepared that has an initial activity of 7.56 ×1011 Bq.
i. How many Plutonium-199 nuclei are initially present in the
sample?
ii. How many are present after 30.8 min?
iii. What is the activity at this time?

Research shows that the radioactive isotope Plutonium-238 has a
half-life of 87.7 years
Use the following to construct a function that will model the
amount of Plutonium-238 remaining after t years, from an initial
amount of 15 kg.
Q(t)=Pert
Where Q(t) describes the amount of Plutonium-238 remaining after
t years from an initial quantity of P kg.
Q(t)=
How long (in years) will it take for the amount of
Plutonium-238 remaining to reach 3 kg?

A radioactive isotope has a half-life of 72.0 min. A sample is
prepared that has an initial activity of 1.40×1011
Bq.
Q1: How many radioactive nuclei are initially present in the
sample?
Q2: How many are present after 72.0 min?
Q3: What is the activity after 72.0 min?
Q4: How many are present after 144 min?
Q5: What is the activity after 144 min?

The radioactive isotope (82 Sr) has a half-life of 25.4 days. A
sample containing this isotope has an initial activity at (t = 0)
of 4.5 x 10^8 Bq. Calculate the number of nuclei that will decay in
the time interval between t1 = 34.0 hours and t2 = 50.0 hours.

The radioactive isotope 198Au has a half-life of 64.8 hr. A
sample containing this isotope has an initial activity (t = 0) of
1.5x 10^12 Bq. Calculate the number of nuclei that decay in the
time interval between t1 = 10 hr and t2 = 12 hr.
Please show and explain work, and do not use calculus to solve
it.

The radioactive isotope 198Au has a half-life of 64.8 hours. A
sample containing this isotope has an initial activity at (t=0) of
1.50e-12 Bq. Calculate the number of nuclei that will decay in the
time interval between t1=10 hours and t2=20 hours
Answer is 4.60e16 but I'm not sure how. Thanks and please show
work

The radioactive isotope (95 Nb) has a half-life of 35 days. A
sample containing this isotope has an initial activity at (t = 0)
of 4.50 x 10 ^8 Bq. Calculate the number of nuclei that will decay
in the time interval between t1 = 30.0 hours and t2= 55.0
hours.
Ans in nuclei and need it asap

15.58 The half-life for the radioactive decay of C−14 is 5730
years. How long will it take for 25% of the C−14 atoms in a sample
of C−14 to decay? If a sample of C−14 initially contains 1.9 mmol
of C−14, how many millimoles will be left after 2250 years?

The half-life for the radioactive decay of C−14 is 5730
years.
Part A: How long will it take for 25% of the C−14 atoms in a
sample of C−14 to decay?
Part B: If a sample of C−14 initially contains 1.9 mmol of C−14,
how many millimoles will be left after 2255 years?

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