Half Life Period of a Reaction

The half life period of a radioactive element is 140 days. After 560 days, 1 g of element will be reduced to

After 2 hours, a radioactive substance becomes `(1/16)^"th"` of original amount. Then the half life ( in min) is

Define half life of a reaction.

Show that for a first order reaction half life is independent of initial concentration.

The rate constant for a first order reaction is 1.54 × 10⁻³ s⁻¹. Calculate its half life time.

The half life of the homogeneous gaseous reaction \[\ce{SO2Cl2 -> SO2 + Cl2}\] which obeys first order kinetics is 8.0 minutes. How long will it take for the concentration of SO₂Cl₂ to be reduced to 1% of the initial value?