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 half-life of 235 U is 7.1 ×10 8 yr and is an alpha emitter. The amount of 235 present is 1.0 mg. Formula used: − d N d t = λ N t 1 / 2 = 0.693 λ Calculation: The atomic mass of uranium is 235 So, 235 gm of uranium contains Avogadro’s number of atom i...

Modified Mastering Chemistry with Pearson eText -- Standalone Access Card -- for Chemistry: Structure and Properties (2nd Edition)

2nd Edition

ISBN: 9780134565613

Author: Nivaldo J. Tro

Publisher: PEARSON

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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 20, Problem 96E

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To determine: The number of alpha particle emitted.

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Chapter 20, Problem 95E

Chapter 20, Problem 97E

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Modified Mastering Chemistry with Pearson eText -- Standalone Access Card -- for Chemistry: Structure and Properties (2nd Edition)

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