Part a. Approximately how much mass remains after 8.0 hours?Part b. Approximately how much mass would remain after 21.0 hours?Part c. What is the half-life for this isotope? Title: Understanding the Half-Life of a Radioactive Isotope**Graph: Half-Life of a Radioactive Isotope**Description:This graph illustrates the concept of the half-life of a radioactive isotope by displaying the remaining mass of the isotope over a period of time.**Axes:**- The x-axis (horizontal axis) represents time in hours, ranging from 0 to 21 hours.- The y-axis (vertical axis) shows the mass remaining in grams, ranging from 0 to 20 grams.**Data and Interpretation:**At the initial time (0 hours), the mass of the radioactive isotope starts at 20 grams. As time progresses, the mass decreases in a consistent manner, indicating the decay of the radioactive substance over time.**Key Points on the Graph:**- At approximately 3 hours, the mass falls to around 10 grams, demonstrating the first half-life period.- Around 9 hours, the mass further decreases to about 5 grams, indicating the completion of the second half-life.- By 15 hours, the mass is reduced to roughly 2.5 grams, showing the third half-life period.- By the end of the plotted time (21 hours), the mass continues to decline, following the exponential decay pattern.**Conclusion:**The graph provides a clear visual representation of how a radioactive isotope decays over time. Each marked time interval roughly corresponds to the isotope’s half-life, where the mass reduces by half approximately every 6 hours.Understanding this concept is crucial in fields such as nuclear physics, environmental science, and medical treatments involving radioactive materials. The exponential decay pattern is a fundamental characteristic of radioactive substances, highlighting the predictable yet continuous decrease in mass over time.

In nuclear physics, the half-life refers to the time it takes for half of the…

Answered: Part a. Approximately how much mass…