Problem 39
The rate constant for a first order reaction is \(60 \mathrm{~s}^{-1}\). How much time will it take to reduce the initial concentration of the reactant to its \(1 / 16^{\text {th }}\) value?
Problem 42
A substance reacts according to I order kinetics and rate constant for the reaction is \(1 \times 10^{-2} \mathrm{sec}^{-1}\). If its initial concentration is \(1 M\) (a) What is initial rate? (b) What is rate after 1 minute?
Problem 43
A first order reaction takes \(69.3\) minutes for \(50 \%\) completion. How much time will be needed for \(80 \%\) completion?
Problem 44
Show that time required to complete \(99.9 \%\) completion of a first order reaction is \(1.5\) times to \(90 \%\) completion.
Problem 45
Thermal decomposition of a compound is of first order. If \(50 \%\) sample of the compound is decomposed in 120 minute, how long will it take for \(90 \%\) of the compound to decompose?
Problem 46
A first order gaseous reactions has \(K=1.5 \times 10^{-0} \mathrm{sec}^{-1}\) at \(200^{\circ} \mathrm{C}\). If the reaction is allowed to run for 10 hour, what percentage of initial concentration would have changed into products. What is the half life period of reaction?
Problem 47
The rate constant for a first order reaction was found to be \(0.082\) \(\min ^{-1}\). If initial concentration of reactant is \(0.15\) M.how long would it take, (a) to reduce the concentration of \(A\) to \(0.03 M\). (b) to reduce the concentration of \(A\) by \(0.03 M\)