Concept explainers
(a)
The value of the parameter b and plot the function by using half-life of carbon-14.
Answer to Problem 1.25P
The value of the parameter
Explanation of Solution
Given:
Half-life of carbon -14 is 5500 years
Concept Used:
Fraction of carbon -14 remaining time at
The exponential decay,
Calculation:
Obtain
Thus,
Substitute carbon half-life, 5500 years for
Thus the value of the parameter
Now the exponential decay function
Enter the following code in MATLAB:
The following is the plot of the exponential decay function:
Figure 1.
Conclusion:
Thus, the value of the parameter
(b)
The time when the organism died.
Answer to Problem 1.25P
Organism died
Explanation of Solution
Given:
Half-life of carbon -14 is 5500 years.
Concept Used:
Fraction of carbon -14 remaining time at
The exponential decay,
Calculation:
We have,
Solve for t.
Conclusion:
Thus,organism died
(c)
The effect of b on the age obtained in part (b).
Answer to Problem 1.25P
The organism died age is reduced to
Explanation of Solution
Given:
Half-life of carbon-14 is 5500 years and
Concept Used:
Fraction of carbon - 14 remaining time at
The exponential decay,
Calculation:
Determine
Determine the time estimate
Conclusion:
Thus, the organism died age is reduced to
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Chapter 1 Solutions
System Dynamics
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