(Radioactive Decay: Conceptual) A class of students is analysing two hypothetical…

CHEMISTRY · Multi-part · US High School · Chemistry · Atomic Structure & Nuclear · Atomic Structure & Nuclear

Problem

(Radioactive Decay: Conceptual) A class of students is analysing two hypothetical radioactive isotopes, PP and QQ. Isotope PP has a half-life that is three times longer than that of isotope QQ. Answer the following questions based on this information. (i) Define the term “half-life” of a radioactive substance. (ii) Explain qualitatively how the numerical value of the decay constant is related to the speed at which a radioactive sample decays. (iii) Without carrying out any numerical calculation, state which isotope, PP or QQ, will display a steeper fall in activity when equal initial activities of the two isotopes are plotted on the same graph of activity versus time. Give a brief justification based on your explanation in part (ii).

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