Explanation If we consider after starting the radioactive disintegration of a certain nucleus after the time gap ‘t’ the number of atom disintegrate is ‘N’. Then for small gap of time ‘dt’ the disintegration of the atom will be ‘dN’. Then as per the law of radioactive disintegration the rate of decay ( − d N d t ) of the atom will be equivalent to the number of atom present at the moment. so, − d N d t ∞ N or, − d N d t = λ N (Where λ is a constant called disintegration constant or decay constant). The value of the decay constant is fixed for a radioactive material. The half life time of a radioactive material is the time required to disintegrate half of the material. It is expressed by: t 1 / 2 = 0.693 λ Given: The volume of the aqueous sample is 228 mL and contains 2.35% of MgCl 2 by mass. Exactly half of the magnesium ion are Mg-28 which is a beta emitter with half-life of 21 hours. The density of the sample is 1.02 g/mL. Formula used: D e n s i t y = M a s s V o l u m e λ = 0.693 t 1 2 − d N d t = λ N Calculation: The density of the solution is 1.02 g/mL. Now the mass of the solution is 1.02 g ml × 228 ml = 232.56g, so the amount of MgCl 2 in the sample by mass is 232 ...

Chemistry: Structure and Properties Custom Edition for Rutgers University General Chemistry

15th Edition

ISBN: 9781269935678

Author: Nivaldo J. Tro

Publisher: Pearson Education

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Writing and Balancing Nuclear Equations

A nuclear equation is a symbolic representation of a nuclear reaction using certain symbols. It is studied in nuclear chemistry and nuclear physics.

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Chapter 21, Problem 94E

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To determine: The decay rate of Mg-28 in the solution.

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Chapter 21, Problem 93E

Chapter 21, Problem 95E

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Chemistry: Structure and Properties Custom Edition for Rutgers University General Chemistry

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