The thermal dehydrogenation of propane is a first-order process and has a rate constant of 4.86×10⁻² s⁻¹ at 873 K:

C₃H₈(g) → C₃H₆(g) + H₂(g)

Calculate the half-life of propane at 873 K.

The first-order reaction of A molecules (gray spheres) occurs in three vessels, 1, 2, and 3, of equal volume.

If the volume of each vessel is increased by a factor of 2, what will happen to the rates and half-lives of the reaction?

The first-order rate constant for the radioactive decay of Berkelium-248 (²⁴⁸Bk) and Seaborgium-260 (²⁶⁰Sg) is 0.0292 h⁻¹ and 0.173 ms⁻¹, respectively. Which sample decays at a faster rate?

The hypothetical gas-phase isomerization of AB → BA at 425 °C was observed.

What are its rate constant and half-life if the reaction is first-order?

The components of a reaction after 0 mins and 20 mins are shown below. 

After 7 half-life periods, what fraction of reactant is still present if the reaction is first-order?

The hydrolysis of the anticancer drug cisplatin occurs in first-order kinetics with a rate constant of 5.33 × 10⁻³ min⁻¹ at 310.15 K. Assuming we start with 100% cisplatin, determine the time it will take for 35.0% of cisplatin to react? How about 50.0% of the cisplatin?

The half-life for the radioactive decay of U-238 is 4.5 billion years and is independent of initial concentration. How long will it take for 18% of the U-238 atoms in a sample of U-238 to decay?