Half-Life Lab Document, Study Guides, Projects, Research of Chemistry

This is a document representing and analyzing the half-life of certain isotopes.

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ExploreLearning Gizmo: Half-life
Warm-up
1. How long does it take you, on average, to pop a bag of popcorn
in the microwave? (Note: This is an estimate. There’s no right or wrong answer.
It’s an analogy to get you thinking about how radioactive decay works.)
2 mins and 50 seconds
2. If you turn the microwave on for 2 minutes, is the rate of popping
always the same, or does it change/fluctuate? Explain.
No, it is inconsistent
because the number of
pops will increase and
decrease.
Like an unpopped kernel in the microwave, a radioactive atom can
change at any time. Radioactive atoms change by emitting radiation
in the form of tiny particles and/or energy. This process, called decay,
causes the radioactive atom to change into a stable daughter atom.
This Gizmo allows you to observe and measure the decay of a radio-
active substance. Be sure the sound is turned on and click Play ( ).
3. Observe, then describe what you see and hear. The pops happened inconsistently and
they slowed down over time.
(Note: The clicking sound you hear comes from a Geiger counter, an instrument that detects the
particles and energy emitted by decaying radioactive atoms.)
4. What remains at the end of the decay process? The daughter atoms remain.
5. Is the rate of decay fastest at the beginning,
middle, or end of the process?
It is the fastest at the beginning
of the process.
Activity A:
Decay curves
Get the Gizmo ready:
Click Reset ( ). Be sure that User chooses half-life and Random
decay are selected.
Check that the Half-life is 20 seconds and the Number of atoms is 128.
Question: How do we measure the rate of radioactive decay?
6. Observe : Select the BAR CHART on the right side of the Gizmo and click Play.
1. What happens to the numbers of radioactive and
daughter atoms as the simulation proceeds?
The radioactive goes down
and the daughter atoms go
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ExploreLearning Gizmo: Half-life

Warm-up

  1. How long does it take you, on average, to pop a bag of popcorn in the microwave? (Note: This is an estimate. There’s no right or wrong answer. It’s an analogy to get you thinking about how radioactive decay works.) 2 mins and 50 seconds
  2. If you turn the microwave on for 2 minutes, is the rate of popping always the same, or does it change/fluctuate? Explain. No, it is inconsistent because the number of pops will increase and decrease. Like an unpopped kernel in the microwave, a radioactive atom can change at any time. Radioactive atoms change by emitting radiation in the form of tiny particles and/or energy. This process, called decay , causes the radioactive atom to change into a stable daughter atom. This Gizmo allows you to observe and measure the decay of a radio- active substance. Be sure the sound is turned on and click Play ( ▶).
  3. Observe, then describe what you see and hear. The^ pops^ happened^ inconsistently^ and they slowed down over time. (Note: The clicking sound you hear comes from a Geiger counter , an instrument that detects the particles and energy emitted by decaying radioactive atoms.)
  4. What remains at the end of the decay process? The^ daughter^ atoms^ remain.
  5. Is the rate of decay fastest at the beginning, middle, or end of the process? It is the fastest at the beginning of the process.

Activity A:

Decay curves

Get the Gizmo ready: ● Click Reset ( ). Be sure that User chooses half-life and Random decay are selected. ● Check that the Half-life is 20 seconds and the Number of atoms is 128.

Question: How do we measure the rate of radioactive decay?

  1. Observe: Select the BAR CHART on the right side of the Gizmo and click Play.
    1. What happens to the numbers of radioactive and daughter atoms as the simulation proceeds? The radioactive goes down and the daughter atoms go

up.

  1. Do the numbers of radioactive and daughter atoms change at the same rate throughout the simulation? Explain. No they do not change at the same rate.
  2. Experiment: Click Reset , and select the GRAPH tab. Run a simulation with the Half-life set to 5 seconds and another simulation with the Half-life set to 35 seconds. ✏️Sketch each resulting decay curve graph in the spaces below.
  3. Interpret: How does the Half-life setting affect how quickly the simulated substance decays? The longer the half-life, the longer it takes to decay.
  4. Collect data: Click Reset. Change the Half-life to 10 seconds and click Play. Select the TABLE tab and record the number of radioactive atoms at each given time below. 0 s: 128 10 s: 64 20 s: 26 30 s: 14 40 s: 6 50 s: 4
  5. Analyze: What pattern, if any, do you see in your data? The radioactive atoms definitely decrease.
  6. Revise and repeat: Use your data from #4 above to fill in the first line of the data table below. Then repeat the experiment four more times. Calculate the average number of radioactive atoms for each time. Trial 0 s 10 s 20 s 30 s 40 s 50 s 1 128 64 26 14 6 4 2 128 57 28 15 11 5 ✏️ Half-life = 5 seconds ✏️ Half-life = 35 seconds
  1. Measure: Turn on the Half-life probe. Use the probe to measure how long it takes for exactly one-half of the original radioactive atoms to decay. What is the exact half-life of isotope A? 31 seconds
  2. Collect data: In the first row of the table below, write how many seconds represent one half-life, two half- lives, and so forth. On the next row, predict the number of radioactive atoms that will be present at each time. Then use the probe to find the actual values. Half-life 0 1 2 3 4 5 Time (seconds)^0 31 62 93 124 Predicted # radioactive atoms

Actual # radioactive atoms

  1. Calculate: Calculate the percentage of radioactive atoms that are left after each half-life. Half-life^0 1 2 3 4 Percentage radioactive atoms
  1. Apply: Suppose you found a material in which 12.5% of the original radioactive atoms were present. If the half-life is 47 years, how old is the material? 141 years old.
  2. Apply: Use the Gizmo to find the half-life of Isotope B. What is it?
  3. Practice: Click Reset. Select the Mystery half-life from the left menu. In this setting, the half-life will be different each time you run the simulation. Run at least three trials. In each trial, measure the half-life using the Half-life probe on the graph. When you have found the half-life, click the camera ( 📷) icon. Right-click the image, and click Copy. Then paste the image below, and label each image with the half-life.
  4. Explore: Use the Gizmo to explore whether the number of atoms present affects the half-life that you measure. Describe your findings below:

I don’t believe the amount of atoms technically changes the half- life number. Every element is differet and has different protons and sometimes even neutrons. In each experiment, the number of atoms was the same but the half-life was still different. This ould be due to there being different elements.

  1. Extend your thinking: The slow decay of radioactive materials can be used to find the age of rocks, fossils, and archaeological artifacts. In a process called radiometric dating , scientists measure the proportions of radioactive atoms and daughter atoms in an object to determine its age. Carbon-14 is a useful isotope because it is found in wood, ash, bone, and any other organic materials. You can use the Half-life Gizmo to model the decay of Carbon-14, which has a half-life of approximately 6,000 years (actual value is 5,730 years). In the Gizmo, select User chooses half-life and Theoretical decay. Set the Half-life to 6 seconds (to represent 6,000 years) and the Number of atoms to 100. Use the Gizmo to estimate the age of each of the objects below. For these questions, each second in the Gizmo represents 1,000 years. Description Age (years) Egyptian papyrus with 63% of its original carbon-14 atoms Aboriginal charcoal with 22% of its original carbon-14 atoms. Mayan headdress with 79% of its original carbon-14 atoms Neanderthal skull with 3% of its original carbon-14 atoms