Show that the amount of the substance left after n-half lives in equal to `A_0/2^n` where `A_0 rarr` initial concentration of the reactant.

Starting from the intergrated rate law of a zeroth order reaction R rarr P show that half life time of the reaction is directly proportional to the initial molar concentration of the reactant.

Starting from the intergrated rate law of a zeroth order reaction R rarr P show that half life time of the reaction is directly proportional to the initial molar concentration of the reactant.

Show that for a zero order reaction Kt=a_0-a_1 where K rarr rate constant a_0 rarr initial concentration of reactant a_1 rarr Concentration of the reactant at time 't'

Consider a certain reaction A rarr Products with k = 2.0x10^-2 s^-1.Calculate the concentration of A after 100s if the initial concentration of A is 1.0 mol L^-1.

Show that K_a=(C^^_m^2)/(^^_m^0(^^_m^0-^^_m)) Where K_a rarr dissociation constant of weak acid C rarr Concentration ^^_m rarr molar conductivity at any concentration ^^_m^0 rarr molar conductivity at infinite dilution

The potential energy function for a particle executing linear simple harmonic motion is given by V(x) =kx^2/2, where k is the force constant of the oscillator. For k = 0.5 N ^-1 , the graph of V(x) versus x is shown in Fig. 6.12. Show that a particle of total energy 1 J moving under this potential must ‘turn back’ when it reaches x = ± 2 m.,br>

The unit of length convenient on the nuclear scale is a fermi : 1 f = 10^(-15) m. Nuclear sizes obey roughly the following empirical relation : r = r_0A^(1/3) where r is the radius of the nucleus, A its mass number, and r_0 is a constant equal to about, 1.2 f. Show that the rule implies that nuclear mass density is nearly constant for different nuclei. Estimate the mass density of sodium nucleus. Compare it with the average mass density of a sodium atom obtained in Exercise. 2.27.

The half life of a first order reaction is 10min. If initial amount is 0.80 mol//lit and concentration at some instant is 0.01 mol//lit then then t-