The rate constant for the decay of a radioactive element is 1.95 × 10⁻³ day⁻¹. What is the half-life of this element in days?

The rate constant for the decay of a radioactive element is 6.37 × 10⁻³ day⁻¹. What is the half-life of this element in days?

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Radioactive decay occurs following first order kinetics. If the half-life of a sample of Cl-36 is 3.0 x 105 years, what is the value of the rate constant, k in s-1? t1/2=0.693k

The rate constant for the decay of a radioactive isotope is 4.234 x 10-3/day. What is the half-life of this isotope (in days)?

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In a patient, the fraction of radioactive iodine 131I (Iodine) remaining after 32 days was found to be 1/16. Using this information and your knowledge of the rate law, show that the half-life of radioactive iodine is 8.0 days.

Consider the radioisotope ⁴¹Ca (half life = 1.03 × 10⁵ years). What is the first-order rate constant for ⁴¹Ca?

Fallout from nuclear weapons tests in the atmosphere is mainly 90Sr and 137Cs , which have 28.6- and 32.2-y half-lives, respectively. Atmospheric tests were terminated in most countries in 1963, although China only did so in 1980. It has been found that environmental activities of these two isotopes are decreasing faster than their half-lives. Why might this be?

5. A reaction has the expeimental rate law = rate = k[A]2[B]. If the concentraion of A is doubled and the concentration of B is halved, what happens to the reaction rate? 11. Studies of radioactive decay of nuclei show that the decay rate of the radioactive sample is proportional to the amount of the radioactive species present. Once half the radioactivity has disappeared, the radioactive decay rate is only half of its original value. Is radioactive decay a zeroth-order, first order, or second order process? 13. Which of these reactions are unimolecular and elementary, which are bimolecular and elementary, and which are not elementary? a. HCl(g) + H2O(g) -----> H3O+(g) + Cl-(g) b. I- (g) + CH3Cl(g) ----> ICH3(g) + Cl-(g) c. C2H6 (g) -----> C2H4(g) + H2(g) d. N2(g) = 3 H2(g) ---> 2 NH3 (g) e. O2(g) = O(g) ---> O3(g)   15. The activation energy Ea is 139.7 kJ mol-1 for the gas pahse reaction HI + CH3I ----> CH4 + I2 Calculate the fraction of the molecules whose…