Assume that the rate of decay of a radioactive substance is proportional to the amount of the substance present. The half-life of a radioactive substance is the time it takes for one-half of the substance to disintegrate. Carbon dating is often used to determine the age of a fossil. For example, a humanoid skull was found in a cave in South Africa along with the remains of a campfire. Archaeologists believe the age of the skull to be the same age as the campfire. It is determined that only 2% of the original amount of carbon-14 remains in the burnt wood of the campfire. Complete parts (a) through (e) below. (a) Estimate the age of the skull if the half-life of carbon-14 is about 5690 years. The skull is about years old. (Round to the nearest whole number as needed.) (b) Estimate the age of the skull if the half-life of carbon-14 is about 5590 years. The skull is about years old. (Round to the nearest whole number as needed.) (c) Compare the answers to parts (a) and (b). Choose the correct answer below. O A. The answer to part (b) is less than the answer to part (a). Decreasing the half-life decreases the age of the skull. The change in the age of the skull here is much less than the change in the half-life. O B. The answer to part (b) is greater than the answer to part (a). Decreasing the half-life increases the age of the skull. The change in the age of the skull here is much greater than the change in the half-life. O C. The answer to part (b) is less than the answer to part (a). Decreasing the half-life decreases the age of the skull. The change in the age of the skull here is much greater than the change in the half-life. O D. The answer to part (b) is greater than the answer to part (a). Decreasing the half-life increases the age of the skull. The change in the age of the skull here is much less than the change in the half-life
Assume that the rate of decay of a radioactive substance is proportional to the amount of the substance present. The half-life of a radioactive substance is the time it takes for one-half of the substance to disintegrate. Carbon dating is often used to determine the age of a fossil. For example, a humanoid skull was found in a cave in South Africa along with the remains of a campfire. Archaeologists believe the age of the skull to be the same age as the campfire. It is determined that only 2% of the original amount of carbon-14 remains in the burnt wood of the campfire. Complete parts (a) through (e) below. (a) Estimate the age of the skull if the half-life of carbon-14 is about 5690 years. The skull is about years old. (Round to the nearest whole number as needed.) (b) Estimate the age of the skull if the half-life of carbon-14 is about 5590 years. The skull is about years old. (Round to the nearest whole number as needed.) (c) Compare the answers to parts (a) and (b). Choose the correct answer below. O A. The answer to part (b) is less than the answer to part (a). Decreasing the half-life decreases the age of the skull. The change in the age of the skull here is much less than the change in the half-life. O B. The answer to part (b) is greater than the answer to part (a). Decreasing the half-life increases the age of the skull. The change in the age of the skull here is much greater than the change in the half-life. O C. The answer to part (b) is less than the answer to part (a). Decreasing the half-life decreases the age of the skull. The change in the age of the skull here is much greater than the change in the half-life. O D. The answer to part (b) is greater than the answer to part (a). Decreasing the half-life increases the age of the skull. The change in the age of the skull here is much less than the change in the half-life
World of Chemistry, 3rd edition
3rd Edition
ISBN:9781133109655
Author:Steven S. Zumdahl, Susan L. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan L. Zumdahl, Donald J. DeCoste
Chapter19: Radioactivity And Nuclear Energy
Section19.2: Application Of Radioactivity
Problem 4RQ
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Transcribed Image Text:Assume that the rate of decay of a radioactive substance is proportional to the amount of the substance present. The half-life of a radioactive substance is the time it takes for one-half of the
substance to disintegrate. Carbon dating is often used to determine the age of a fossil. For example, a humanoid skull was found in a cave in South Africa along with the remains of a campfire.
Archaeologists believe the age of the skull to be the same age as the campfire. It is determined that only 2% of the original amount of carbon-14 remains in the burnt wood of the campfire.
Complete parts (a) through (e) below.
(a) Estimate the age of the skull if the half-life of carbon-14 is about 5690 years.
The skull is about years old.
(Round to the nearest whole number as needed.)
(b) Estimate the age of the skull if the half-life of carbon-14 is about 5590 years.
The skull is about years old.
(Round to the nearest whole number as needed.)
(c) Compare the answers to parts (a) and (b). Choose the correct answer below.
O A. The answer to part (b) is less than the answer to part (a). Decreasing the half-life decreases the age of the skull. The change in the age of the skull here is much less than the change in
the half-life.
O B. The answer to part (b) is greater than the answer to part (a). Decreasing the half-life increases the age of the skull. The change in the age of the skull here is much greater than the
change in the half-life.
O C. The answer to part (b) is less than the answer to part (a). Decreasing the half-life decreases the age of the skull. The change in the age of the skull here is much greater than the
change in the half-life.
O D. The answer to part (b) is greater than the answer to part (a). Decreasing the half-life increases the age of the skull. The change in the age of the skull here is much less than the change
in the half-life.
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