Calculate the decay constant for `Ag^(108)` if its half life is 2.31 minutes.

Half-life period of a radioactive element is 100 seconds. Calculate the disintegration constant and average life period. How much time will it take for 90% decay?

For the damped oscillator, the mass m of the block is 200g, k = 90 Nm^(-1) and the damping constant b is 40 gs^(-1) . Calculate the time taken for its mechanical energy to drop to half its initial value.

One ml of methyl acetate was added to 20 ml of 0.5 N sulphuric acid. 2 ml of the reaction mixture was with drawn at various time intervals and titrated against a solution of standard alkali. The titre values are tabulated. Show that the reaction is first order and calculate the rate constant and half life period of the reaction.

Calculate the enthalpy of combustion of ethylene at 300K at constant pressure if its enthalpy of combustion at constant volume is -"1406 kJ mol"^(-1) .

For the damped oscillator shown in Fig. 14.19, the mass m of the block is 200 g, k = 90 N m^(-1) and the damping constant b is 40 g s^(-1) . Calculate (a) the period of oscillation, (b) time taken for its amplitude of vibrations to drop to half of its initial value, and (c) the time taken for its mechanical energy to drop to half its initial value.

The decay constant for 6^(C^(14)) is 2.31xx 10^(-4) year-1 calculate the half life period.

At time t=0 N_(1) nuclei of decay constant lambda_(1)& N_(2) nuclei of decay constant lambda_(2) are mixed. The decay rate of the mixture at time 't' is: