Mr. Brown's Science Labs
Earth & Space Sciences
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Nuclear Clocks

Radioactive Decay & Absolute Dating
A NYS Regents-aligned interactive investigation • ESRT Page 1
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Section 1

Vocabulary

Click any term to reveal its definition. Cards close automatically after 8 seconds, but you can click them again anytime. Only one card opens at a time.

Section 2

Vocabulary Matching

Click a term on the left, then click the matching definition on the right. Worth 1 point per correct match.

Matches: 0 / 12

Term

Definition

Section 3

The Hyde Park Mastodon: A New York Nuclear Clock

In the summer of 2000, a homeowner in Hyde Park, New York, was digging out a small pond in his backyard when his backhoe struck what he thought was a rock. It was not a rock. It was a tooth the size of a fist. Over the next several months, paleontologists from the Paleontological Research Institution carefully excavated one of the most complete mastodon skeletons ever found in the eastern United States — over 95% of the animal's bones, lying in soft pond sediment that had preserved them for thousands of years.

But how thousands? Were these bones 5,000 years old? 15,000? 50,000? To answer that, scientists used radioactive decay — specifically, the slow, predictable breakdown of Carbon-14 in the bone collagen and in nearby plant material.

Every living thing contains a tiny, constant amount of Carbon-14 in its tissues. The moment an organism dies, no new Carbon-14 enters the body, and what remains begins to decay into Nitrogen-14 at a known rate. The half-life of Carbon-14 is about 5,700 years, meaning that every 5,700 years, half of the Carbon-14 atoms in a sample have decayed into nitrogen. By measuring the percentage of Carbon-14 remaining in the Hyde Park bone, scientists determined the mastodon died approximately 11,480 years ago — right at the end of the last Ice Age, when massive glaciers were retreating from New York State.

Carbon-14 is a powerful tool for dating organic material from the recent past, but it cannot date rocks that are millions or billions of years old. After about 60,000 years, so little Carbon-14 remains in a sample that it can no longer be measured reliably. For older materials, scientists turn to other radioactive "clocks." Potassium-40 (half-life 1.3 billion years) is used to date volcanic rocks. Uranium-238 (half-life 4.5 billion years) is used to date the oldest rocks on Earth — including the ancient gneiss bedrock of the Adirondack Mountains, which formed over one billion years ago during the Grenville Orogeny.

Each radioactive isotope is a different kind of clock, and choosing the right one depends on how old the sample is suspected to be. A scientist studying a fossil shell from Long Island would reach for Carbon-14. A geologist studying a zircon crystal from the Adirondacks would use Uranium-238. The principle, however, is always the same: parent atoms decay into daughter atoms at a constant, predictable rate, and that rate is the heartbeat of the geologic time scale.

From the ESRT (Page 1): The Radioactive Decay Data table lists the half-lives of common isotopes used in geology. You will use this table in the activities and quiz below.

Section 4

Reading Activities

Work through the activities below. Drag words into the correct order, expand bare-bone sentences, and complete the passage using the word bank. Each activity is worth 1 point. Correctly placed words will turn green.

Activity 1 — Unscramble this sentence into proper order:
Activity 2 — Unscramble this sentence into proper order:
Activity 3 — Unscramble this sentence into proper order:
Activity 4 — Expand this bare-bone sentence: "Scientists use radioactive decay."
Add details using Why and How.
Activity 5 — Expand this bare-bone sentence: "Mastodons lived in New York."
Add details using When and Where.
Activity 6 — Complete the passage using words from the bank below.
25 5,700 organic Uranium-238 Adirondack

After two half-lives, only percent of the parent isotope remains. Carbon-14 has a half-life of years and is used to date materials. To date the very old rocks of the Mountains, scientists instead use .

Section 5

Practice Questions: Dating the Past

Use the reading and the ESRT (Page 1) to answer these Regents-style questions. Each is worth 1 point.

Question 1 • Practice
A student created a data table about isotopes used in radiometric dating. Which row of the table below correctly identifies all the characteristics of that isotope?
RowIsotopeHalf-LifeBest Used For Dating
(1)Carbon-144.5 billion yearsAdirondack gneiss
(2)Uranium-2385,700 yearsMastodon bone
(3)Carbon-145,700 yearsHyde Park mastodon bone
(4)Potassium-405,700 yearsVolcanic rock
Question 2 • Practice
A sample of charcoal from the Hyde Park Mastodon site contains 25% of its original Carbon-14. This means the sample is approximately A years old, because Carbon-14 has a half-life of B. This isotope works for this sample because the age is C the Carbon-14 dating limit. If the sample had been a 1-billion-year-old Adirondack gneiss, scientists would instead use D.

Which table correctly identifies A, B, C, and D?
Question 3 • Practice
Several statements about radioactive decay are listed below:
Statement 1: After one half-life, 50% of the parent isotope remains.
Statement 2: The half-life of a radioactive isotope changes with temperature and pressure.
Statement 3: After two half-lives, 25% of the parent isotope remains.
Statement 4: Carbon-14 can be used to date rocks that are billions of years old.
Statement 5: Different radioactive isotopes have different half-lives.
Statement 6: As parent atoms decrease, daughter atoms increase.

Which statements correctly describe radioactive decay?
Section 6

Half-Life Atom Simulator

You have 100 parent atoms below. Each click of the button advances one half-life: each remaining parent atom has a 50% random chance of decaying into a daughter atom. Run the simulation through several half-lives and fill in the data table below. The completed data table is worth 4 points.

Half-Lives Elapsed
0
Parent Atoms
100
Daughter Atoms
0
% Parent Remaining
100%
Parent isotope
Daughter product

Data Table — Record Your Results (4 points)

After each half-life, record what you observe. The simulator counts for you — copy the numbers in.

Half-Lives ElapsedTime (if C-14)Parent AtomsDaughter Atoms% Parent Remaining
00 years
15,700 years
211,400 years
317,100 years
422,800 years
Question 4 • Practice
Based on the simulator, which statement correctly describes the relationship between parent atoms and daughter atoms over time?
Section 7

The Decay Curve

The graph below plots % parent isotope remaining against number of half-lives. This is the universal shape of every radioactive decay curve — no matter which isotope you use, the math is the same. Notice that the curve never reaches zero.

Question 5 • Practice
Which list shows the percentage of parent isotope remaining in the correct sequence after 1, 2, 3, and 4 half-lives?
Question 6 • Practice
Based on the trend in the decay curve, which claim correctly describes the relationship between time and the amount of parent isotope remaining?
Section 8

Isotope Detective

You have 6 mystery samples. For each sample, you'll be told the percentage of parent isotope remaining. Your job: (1) choose the correct isotope to date it (using the ESRT or the half-lives shown below), and (2) calculate the age. Each correct sample is worth 2 points (1 for isotope, 1 for age).

Half-lives to use:
Carbon-14 (C-14): 5,700 years  •  works for ages up to ~60,000 years (organic material)
Potassium-40 (K-40): 1.3 billion years  •  works for ancient volcanic rocks
Uranium-238 (U-238): 4.5 billion years  •  works for the very oldest rocks and meteorites
Question 7 • Practice
A geologist makes the following observations about a rock sample:
A. The sample is a 1.1-billion-year-old gneiss from the Adirondack region.
B. The sample contains organic carbon from an ancient plant.
C. The sample contains zircon crystals with measurable Uranium-238.
D. The sample is less than 50,000 years old.
E. The sample is a meteorite that formed when the solar system formed.

Which set of observations correctly identifies a sample that should be dated using Uranium-238?
Section 9

Regents-Style Quiz

5 questions drawn randomly from a 20-question bank (1 from each of 5 style categories). You need 60% mastery (3 of 5) to pass. If you don't pass, you'll get a fresh set of 5 different questions to retry.

Attempt 1
Question 1 of 5
Section 10

Lab Grade Report