How do nature of the reactant influence rate of reaction.

The half life of the homogeneous gaseous reaction 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?

A zero order reaction is 20% complete in 20 minutes. Calculate the value of the rate constant. In what time will the reaction be 80% complete?

A first order reaction is 40% complete in 50 minutes. Calculate the value of the rate constant. In what time will the reaction be 80% complete?

Rate constant k of a reaction varies with temperature T according to the following Arrhenius equation  \(\log K=\log A-\frac { { E }_{ a } }{ 2.303R } \left( \frac { 1 }{ T } \right) \)Where E_a is the activation energy. When a graph is plotted for log k Vs \(\frac{1}{T}\) a straight line with a slope of -4000K is obtained. Calculate the activation energy.