Concept explainers
(a)
Interpretation: The number of
Concept Introduction:
All radioactive decays show first order kinetics. This, half-life and decay constant are related to each other as follows:
Where,
k is the decay constant
(a)
Answer to Problem 14.98PAE
Solution:
Explanation of Solution
Calculating decay constant for
Now, calculate the number of decays per second in 1 mole of the
(b)
Interpretation: Energy released in a single
Concept Introduction:
The mass defect is calculated as the difference of masses of products and reactants. The energy released can be related to mass defect as follows:
Here,
Also, 1 amu = 931.7 MeV
(b)
Answer to Problem 14.98PAE
Solution:
Explanation of Solution
Calculate the mass defect as follows:
Mass Defect
Since, 1amu =931.7 MeV
Thus,
Thus, energy released will be
(c)
Interpretation:
The heat evolved in one minute by the decay of the 1 mol sample of 26Al from part (a) should be calculated.
Concept Introduction: In one mole of a substance there are
(c)
Answer to Problem 14.98PAE
Solution:
Explanation of Solution
Converting decay per second to decay per minute as follows:
In 1 mole there are
number of particles also the calculated energy released is equal to heat thus, heat evolved per minute per mole will be:
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Chemistry for Engineering Students