(20)The half-life of Carbon-14 is 5700 years. If a 16 gram sample is found in a rock layer known to be 42,000 years old, how much Carbon-14 did it start with? Group of answer choices 1400 g 3700 g 3100 g 5300 g 2600 g

(20)The half-life of Carbon-14 is 5700 years. If a 16 gram sample is found in a rock layer known to be 42,000 years old, how much Carbon-14 did it start with? Group of answer choices 1400 g 3700 g 3100 g 5300 g 2600 g

An Introduction to Physical Science

14th Edition

ISBN:9781305079137

Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres

Publisher:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar Torres

Chapter24: Geologic Time

Section: Chapter Questions

Problem 11MC: If the half-life of a radioactive specimen is 100 years, then how long will it take for the specimen...

See similar textbooks

Related questions

Q: Carbon-14 decays into Nitrogen-14 emitting β particles and has a half-life of 5,730 years. This is…

A: The Radioactive decay follows the first-order kinetics. In this, the rate of decay is proportional…

Q: Define radioactive half-life

A: Radioactive decay is the process by which an unstable atomic nucleus loses energy by radiation. A…

Q: Carbon-4 is an isotope of carbon thát is formed when radiation from the sun strikes ordinary carbon…

A: Given,

Q: The half-life of Carbon-13 is 5750 years. Samples taken at an excavation site show that a…

Q: Cobalt 60 is a radioactive source with a half- life of about 5 years. After how many years will the…

A: Write the given values with the suitable variables. t12=5 yrN=18N0 Here, t12, N, and N0 are the…

Q: Why is carbon dating ineffective in finding the ages of dinosaur bones?

Q: If the half-life of Uranium 235 is 700 million years, what would its third-life be?

A: Given data: The half life of Uranium 235 is t1/2=700 million years. The expression for the…

Q: Material found with the body had a C-14 activity of about 0.215 Bq per gram of carbon, where the A0…

A: The half life is t1/2=5730 yrs

Q: if you started with a parent isotope with 100% of its atoms and its half-life is 10 years. What is…

A: Given. t/T = 2 N(t) = No(1/2)t/T

Q: Given that Carbon-14 has a half-life of 5700 years, determine how long (years) it would take for it…

Q: The half-life of 60 Co is 5.27 years. The activity of an 60 Co sample is 3.70x10° Bq . You may want…

A: The disintegration constant is given by λ =0.693T where, T is the half life.

Q: A certain radioactive material has a half-life of 8 minutes. Suppose you have a large sample of this…

Q: Can you help solve this?

A: Since there are multiple questions posted, we will answer the first question. Half-life is defined…

Q: The half-life of a certain radioactive substance is 9 years. What is the yearly decor factor?

A: Given,

Q: The half-life of radium-226 is 1600 years. How long will it take for 10.0 mg of radium-226 to decay…

A: Using half life concept to solve the problem

Q: Choose the BEST answer to the following. A radioactive sample has a half-life of 1 hour. Starting…

A: The number of half -life passed in a time is,

Q: If two grams of a radioactive isotope has a half - life of twenty hours, the half life of one gram…

A: half life of two grams of a radioactive isotope = 20 hours

Q: . The half-life of Uranium-237 is 5.83 x 10^5 seconds. If you have a sample with 5.89 x 10^24…

Q: While exploring a coal mine, scientists found plant fossils which had been preserved by an…

Q: What is "half-life"? Select one: a. The time needed for half of the radioactive atoms in a sample to…

A: Half-life is the duration of time needed for decay of the half of the radioactive atoms in a given…

Q: How long will it take for an amount of Radon-223 to decay to only 60% of the original amount? The…

Q: If carbon-14 underwent beta decay, what is the resulting nucleus?

A: Beta decay: A element which undergoes beta decay then the neutron of the atom gets converted to…

Q: For the radioactive isotope strontium-90, k is 2.47 x 10-2 years -1. If the original amount of…

Q: piece of fossilized wood has a carbon 14 radioactivity that is one eighth that of new wood. The…

Q: The half-life of l-137 is 8.07 days. If 25 grams are left after 40.35 days, how many grams were in…

A: The formula of the radioactivity is where, N is the amount left, No is the initial amount, t is…

Q: Which of the following is the best way to measure the age of the Earth? Examine rocks collected…

A: Required : Best way to measure the age of Earth.

Q: The half-life of carbon 14 is 5730 years [ Hint: Use the formula N(t)= N0e^k1 Answer in…

A: Given, N(t1/2)=N02 t1/2 of Carbon 14=5730 years

Q: A fossil contains 4.06 grams of carbon 14. Refer to the formulaA(t) = C 0.999879twhich gives the…

A: According to the given equation, the amount of C-14 in the sample at t time is given in the…

Q: if the amount of the parent isotope in the original sample of a rock had been 48 grams, about how…

Q: A 250g sample of Calcium-47 has a half-life of 4.536 ????. How much Calcuim-47 remains after six…

A: Given data: Initial amount of calcium-47 (N0) = 250 g Number of half-lives (n) = 6 Required: The…

Q: Uranium-lead (U-Pb) dating of geological samples is one of the oldest and most refined radiometric…

Q: A radioactive isotope has a half-life of 1.2 billion years. As measured by the presence of the…

Q: (19) Remains recovered in a tomb are found to have 72% of its Carbon-14 remaining. How old might…

Q: 47 - 48. A radioactive substance has a half-life of approximately 10 years. If 25 g of the material…

Q: The abundance of 40K is 0.012% of total natural potassium. The human body is 0.25% potassium by…

A: Since, the 70 kg human body has 0.25% of potassium by weight in which percentage of 19K40 is further…

Q: Carbon 14, with a half-life of 5700 years, is used to estimate the age of organic materials. What…

A: The expression for the half-life of carbon-14 is written as, Here, λ represents the decay constant…

Q: The half-life of the radioactive element unobtanium-53 is 5 seconds. If 176 grams of unobtanium-53…

Q: If a 1.50-cm-thick piece of lead can absorb 90.0% of the γ rays from a radioactive source, how many…

A: Given data The thickness of the lead piece is x = 1.50 cm. Lead can absorb 90% of the γ rays.…

Q: Carbon-14, with a half-life of 5730 years, has a decay constant of λ = 1.21 × 10-4 yr-1. A piece of…

Q: iven that the half-life of carbon-14 is 5,730 years. Consider a sample of fossilized wood that when…

A: Law of radioactive decay is N=N0e-λt where N is the amount left after passage of time t…

Q: If a sample contains 20g of an isotope that has a half life of 1000 years. How much will be left…

A: Given data: Initial amount of sample (N0) = 20 g Half life (T1/2) = 1000 years Required: Remaining…

Q: You inherit 32 kg of cesium-136 after your roommate moves out and leaves it behind. Cesium-137 has a…

A: Initial mass of cesium (mo) = 32 kg half life of cesium (t1/2) = 30 years time (t) = 90 years

Q: Cadmium-107 has a half life of 6.52 hours. If you start off with sample which has an activity of…

Q: How many protons and how many neutrons does each of these isotopes of radon contain? (a) Rn-210…

A: Isotopes are the elements which contains same atomic number or number of protons but different mass…

Q: You want to use radiometric dating to determine the age of a specimen. You use Isotope Z, which has…

Concept explainers

Half Life

The concept of Half Life has numerous practical applications some of them includes figuring out the effective drug dosage to finding out when a radioactive becomes safe to use. If you look for a career in Nuclear Physics you will need this concept.

Question

(20)The half-life of Carbon-14 is 5700 years. If a 16 gram sample is found in a rock layer known to be 42,000 years old, how much Carbon-14 did it start with?

Group of answer choices

1400 g

3700 g

3100 g

5300 g

2600 g

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

If the half-life of a radioactive specimen is 100 years, then how long will it take for the specimen to reach 25% of its original amount? (24.3) (a) 25 years (b) 50 years (c) 100 years (d) 200 years
Carbon-14 dating measures the ratio of carbon-14 not to its daughter, nitrogen-14, but instead to what isotope?
Carbon-14 decays into Nitrogen-14 emitting β particles and has a half-life of 5,730 years. This is used in dating old fossils (see note below). What is the value of the decay constant λ for carbon-14? a) 3.84*10-12 s. b) 3.84*10-12 s-1. c) 2.61*1011 s-1 d) none of these.
What is "half-life"? Select one: a. The time needed for half of the radioactive atoms in a sample to decay b. the time needed for a radioactive atom to lose half its energy c. the time needed for the mass of a radioactive atom to decrease by one-half
The half-life for a particular isotope is 5 seconds. Suppose there are initially 380 grams present in a specimen. Find how much of the specimen remains after 8 seconds. (Your answer should contain about 4 or 5 significant digits.) Determine how long it will take for there to be 240 grams remaining. (Your answer should contain about 4 or 5 significant digits.)
The abundance of 40K is 0.012% of total natural potassium. The human body is 0.25% potassium by mass. The half-life of 40K is 1.25 x 109 years. What is the mass of potassium in a 70 kg human adult?
Carbon-14 commonly used for dating historical artifacts, is a radioactive isotope that is present in organic materials. Carbon-14 has a half-life of 5730 years. If a bone fragment is found that contains 50% of its original carbon-14,how old is the bone? years (round to the nearest whole number)
The radioactive element carbon - 14 has a half life of 5715 years. If a piece of charcoal from an ancient campsite has 20% of its original amount of carbon remaining, determine its age
A piece of fossilized wood has a carbon 14 radioactivity that is one eighth that of new wood. The half-life of carbon-14 is 5730 years how old is the wood?
While exploring a coal mine, scientists found plant fossils which had been preserved by an earthquake in the ceiling of the mine Samples taken from one of the fossils had carbon14 activities of 40.0 counts/min. A reference sample of the same size from a plant alive today has a carbon-14 activity of 160.0 counts/min. If carbon-14 has a half-life of 5730 years , what is the age of the plant fossil in years?
A fossil is found that contains 6.25% as much Radium-226 as fossils being formed today. The half-life of Radium -226 is 1.60 x103 years. How old is the fossil? Hint: How many half-lives did the Radium-226 go through for 6.25% to remain? So, how many years have passed over 4 half lives?
A rock sample which originally contained 400 grams of radioactive isotope X now contains 25 grams of the material. The half-life of isotope X is 10,000 years. How old is the rock sample? (Give your answer without any punctuation or lables. For example: 15000).