Concept explainers
A 14-m by 10-m by 3.0-m basement had a high radon content. On the day the basement was sealed off from its surroundings so that no exchange of air could take place, the partial pressure of 222Rn was 1.2 × 10−6 mmHg. Calculate the number of 222Rn isotopes
Interpretation:
From the partial pressure of radon, the number of radon are there at beginning and end of
Concept introduction:
First-Order kinetic reaction:
In first-order reaction, the rate constant depends on concentration of reactant raised to first power. The mathematical equation of first-order reaction is given as,
K is rate constant.
Answer to Problem 20.73QP
The number of radon is there at beginning is
The number of radon are there at end of
Explanation of Solution
Given,
From the half-life period of radon, the rate constant is calculated as
The volume of basement is calculated as
The number of atoms of radon present in basement initially are calculated as
The first-order kinetics is obeyed by radioactive decays. Thus, radon half-life is does not relies on the initial concentration. The number of moles of radon present in basement at end is calculated as
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