Explanation Given: Use the radiometric dating formula to answer the following question, Uranium- 238 has a half-life of 4.5 billion years. You find a rock containing a mixture of uranium- 238 and lead. You determine that 65 % of the original uranium- 238 ; the other 35 % decayed into lead. How old is the rock? We can model radioactive decay with an exponential function in which Q is the current amount of the radioactive substance and Q 0 is the original amount. Because we are given the half-life, we use the function in the form Q = Q 0 × ( 1 2 ) t T h a l f . For radiometric dating, we compare the current amount Q to the original amount Q 0 , so the equation is more useful if we divide both sides by Q 0 , Q Q 0 = ( 1 2 ) t T h a l f . In this case, our goal is to find t , the age of the rock. We are given that the half-life of Uranium- 238 is T h a l f = 4.5 billion years and that 65 % of the original uranium- 238 remains, which means Q Q 0 = 0.65 . Thereby ( 1 2 ) t T h a l f = 0... To determine b) The age of other rock which contains a mixture of uranium- 238 and lead where original uranium- 238 present in 45 % and lead present in 55 % , by considering the half-life of Uranium- 238 as 4.5 billion years.

7th Edition

ISBN: 9780135239919

Author: BENNETT AND BR

Publisher: PEARSON

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Chapter 9.C, Problem 43E

To determine

a)

The age of the rock which contains a mixture of uranium- $238$ and lead where original uranium- $238$ present in $65 %$ and lead present in $35 %$ , by considering the half-life of Uranium- $238$ as $4.5$ billion years.

To determine

b)

The age of other rock which contains a mixture of uranium- $238$ and lead where original uranium- $238$ present in $45 %$ and lead present in $55 %$ , by considering the half-life of Uranium- $238$ as $4.5$ billion years.

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Chapter 9.C, Problem 42E

Chapter 9.C, Problem 44E

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a) The age of the rock which contains a mixture of uranium- 238 and lead where original uranium- 238 present in 65 % and lead present in 35 % , by considering the half-life of Uranium- 238 as 4.5 billion years.