
Concept explainers
(a)
To Find: The value of
(a)

Answer to Problem 1CYU
The value of
Explanation of Solution
Given:
The half-life of potassium 40 is about 1.25 billion years.
Calculation:
Consider the equation for the decay is,
Then,
Then,
Then, the expression is,
The value of
(b)
To Find: The time taken by the specimen to decay to only 15 milligrams to only 15 milligrams of the potassium 40.
(b)

Answer to Problem 1CYU
The time decay to 15 milligrams is
Explanation of Solution
Given:
The half-life of potassium 40 is about 1.25 billion years.
The specimen contains 36 milligrams of potassium -40.
Calculation:
Consider the equation is,
Then,
The time decay to 15 milligrams is
(c)
To Find: The amount of milligrams of potassium 40 that will left after 300 million years.
(c)

Answer to Problem 1CYU
The remaining potassium 40 after 300 million year is about 30.52 mg.
Explanation of Solution
Given:
The half-life of potassium 40 is about 1.25 billion years.
Calculation:
Consider the equation is,
The remaining potassium 40 after 300 million year is about 30.52 mg.
(d)
To Find: The time taken to take potassium 40 to decay to one eighth of its original amount.
(d)

Answer to Problem 1CYU
The potassium 40 will decay to one eight of its original amount in
Explanation of Solution
Given:
The half-life of potassium 40 is about 1.25 billion years.
Calculation:
Consider the general equation is,
Then for
Thus, the potassium 40 will decay to one eight of its original amount in
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