Interpretation:
The number of years should be calculated which takes a 1.00 M solution of U to reach pH of 6.0.
Concept introduction:
Activity is defined as the product of rate constant and number of atoms. It is also defined as the rate of decay or expresses number of atoms decays in unit time.
The mathematical expression is given by:
Where, A = activity, k = first order rate constant and N = number of radioactive nuclei.
Activity can be expressed in following units:
1 Bq = 1 atom/s
1 Ci = 3.700 × 1010 atoms/s
To express the small number, p scale is used, which implies to take the log of a number. Since, the concentration of
Thus,
The relation between half-life and decay constant is given by:
Where,
Answer to Problem 81QAP
The 1.00 M solution of U will take
Explanation of Solution
Given information:
Half-life of uranium =
The given equation is:
The reaction between zinc ions and water is given as:
Given pH value is 6.0.
Put the value of pH in above formula.
Now, let x be the concentration of
Equilibrium constant
The formula of equilibrium constant is given by:
Put the values in above formula.
Neglect,
Final concentration of U =
The relation between half-life and decay constant is given by:
The formula for calculating time is given by:
Where,
Now, rearrange the formula in terms of time (t)
Put the values.
Thus, the 1.00 M solution of U will take
The 1.00 M solution of U will take
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Chapter 18 Solutions
Chemistry: Principles and Reactions
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