The decay constants of two isotopes are given below

CHEMISTRY · Single correct · US High School · Chemistry · Atomic Structure & Nuclear · Atomic Structure & Nuclear

Problem

The decay constants of two isotopes are given below. Isotope A: λA=3.0×10−4 s−1\lambda_A = 3.0 \times 10^{-4}\,\text{s}^{-1} Isotope B: λB=6.0×10−5 s−1\lambda_B = 6.0 \times 10^{-5}\,\text{s}^{-1} Which statement about their relative stability is most accurate? (a) Because t1/2∝λt_{1/2}\propto\lambda, isotope A’s half-life is roughly five times that of isotope B, so isotope A is more stable. (b) Isotope B has the longer half-life and is therefore more stable than isotope A. (c) Isotope A has the longer half-life and is therefore more stable than isotope B. (d) Half-life depends on the initial quantity present, so the stabilities of the two isotopes cannot be compared with the information given.

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