Chemical Kinetics (JEE Mains)

Assuming 1 microgram of trace radioactive element X with a half life of 30 years is absorbed by a growing tree. The amount of X remaining in the tree after 100 years is___×10^-1microgram.
[Given : ln 10 = 2.303; log2 = 0.30]

Sucrose hydrolyses in acid solution into glucose and fructose following first order rate law with
a half-life of 3.33 h at 25°C. After 9 h, the fraction of sucrose remaining is f. The value of is _______ × 10^-2 . (Rounded off to the nearest integer).
[Assume : ln 10 = 2.303, ln 2 = 0.693]

The rate constant of a reaction increases by five times on increase in temperature from 27°C to
52°C. The value of activation energy in kJ mol^-1 is _______ (Rounded-off to the nearest integer)
[R = 8.314 J K^-1 mol^-1]

The reaction 2A + B2 2AB is an elementary reaction. For a certain quantity of reactants, if the volume
of the reaction vessel is reduced by a factor of 3, the rate of the reaction increases by a factor
of _____. (Round off to the Nearest Integer).

If the activation energy of a reaction is 80.9 kJ mol^-1, the fraction of molecules at 700 K, having enough energy to react to form products is e^-x. The value of x is _______. (Rounded off to the nearest integer) [Use R = 8.31 J K^-1 mol^-1]