Suppose a scientist finds a rock with an interesting fossil. Curious to know the age of the fossil, she takes the rock to a lab. The lab determines the amount of rubidium (Rb) and strontium (Sr) in the rock. The scientist is familiar with radiometric dating and knows that she can now calculate the age of the rock, 1, using an isochron. The Rb-Sr isochron equation is Sr. Sro [edr – 1] 86 Rb, 86 86 °Sr. °Sr, Rb, = 3.807 and 86 89.60. In a published table, she finds that Using the lab's values, she calculates the isotope ratios as - 0.7129. She also finds that the decay constant, the ratio of strontium-87 to strontium-86 at the formation of the rock was Sro %3D 2, for rubidium-87 is 1.42 × 10-1". Use the equation and provided data to calculate t. Put your answer in scientific notation and round to the nearest tenth. years x10 What is the approximate age of the rock in billions of years? Round to the nearest tenth. billions of years
Suppose a scientist finds a rock with an interesting fossil. Curious to know the age of the fossil, she takes the rock to a lab. The lab determines the amount of rubidium (Rb) and strontium (Sr) in the rock. The scientist is familiar with radiometric dating and knows that she can now calculate the age of the rock, 1, using an isochron. The Rb-Sr isochron equation is Sr. Sro [edr – 1] 86 Rb, 86 86 °Sr. °Sr, Rb, = 3.807 and 86 89.60. In a published table, she finds that Using the lab's values, she calculates the isotope ratios as - 0.7129. She also finds that the decay constant, the ratio of strontium-87 to strontium-86 at the formation of the rock was Sro %3D 2, for rubidium-87 is 1.42 × 10-1". Use the equation and provided data to calculate t. Put your answer in scientific notation and round to the nearest tenth. years x10 What is the approximate age of the rock in billions of years? Round to the nearest tenth. billions of years
Human Anatomy & Physiology (11th Edition)
11th Edition
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Publisher:Elaine N. Marieb, Katja N. Hoehn
Chapter1: The Human Body: An Orientation
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![Suppose a scientist finds a rock with an interesting fossil. Curious to know the age of the fossil, she takes the rock to a lab. The
lab determines the amount of rubidium (Rb) and strontium (Sr) in the rock. The scientist is familiar with radiometric dating and
knows that she can now calculate the age of the rock, 1, using an isochron. The Rb-Sr isochron equation is
87.
Rb.
[edr – 1]
86
°Sr.
87
87
Sro
86
Sro
86
Sr.
87.
Rb
3.807 and
89.60. In a published table, she finds that
Using the lab's values, she calculates the isotope ratios as
86
Sr.
87
= 0.7129. She also finds that the decay constant,
86
the ratio of strontium-87 to strontium-86 at the formation of the rock was
Sro
2, for rubidium-87 is 1.42 x 10-11.
Use the equation and provided data to calculate t. Put your answer in scientific notation and round to the nearest tenth.
years
x10
What is the approximate age of the rock in billions of years? Round to the nearest tenth.
billions of years
t =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0f1fd340-6178-454b-aea7-37c134c266b7%2Fcdc78c1c-0fc1-4b92-b40d-8efe0a64d4b1%2Fkgmzsf9_processed.png&w=3840&q=75)
Transcribed Image Text:Suppose a scientist finds a rock with an interesting fossil. Curious to know the age of the fossil, she takes the rock to a lab. The
lab determines the amount of rubidium (Rb) and strontium (Sr) in the rock. The scientist is familiar with radiometric dating and
knows that she can now calculate the age of the rock, 1, using an isochron. The Rb-Sr isochron equation is
87.
Rb.
[edr – 1]
86
°Sr.
87
87
Sro
86
Sro
86
Sr.
87.
Rb
3.807 and
89.60. In a published table, she finds that
Using the lab's values, she calculates the isotope ratios as
86
Sr.
87
= 0.7129. She also finds that the decay constant,
86
the ratio of strontium-87 to strontium-86 at the formation of the rock was
Sro
2, for rubidium-87 is 1.42 x 10-11.
Use the equation and provided data to calculate t. Put your answer in scientific notation and round to the nearest tenth.
years
x10
What is the approximate age of the rock in billions of years? Round to the nearest tenth.
billions of years
t =
Expert Solution
Step 1
As per the data given, the Rb-Sr isochron equation is -
( 87Srt /86Srt ) = ( 87Sr0 / 86Sr0 ) + ( 87Rbt / 86Srt ) [et - 1] --------------- (1)
From given data,
( 87Srt /86Srt ) = 3.807
( 87Sr0 / 86Sr0 ) = 0.7129
( 87Rbt / 86Srt ) = 89.60
= 1.42 * 10-11
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