Question

show all ALL STEPS. answers are there, just need to see how to get them!

You are interested in studying the kinetics of decomposition of a new pharmaceutical drug you just synthesized in the lab. You conduct an experiment at 25∘C that allows you to measure the concentration of the drug as a function of time. A plot of the natural logarithm of the concentration of the drug (expressed in M) vs. time in minutes is given in the figure. An analysis of these data using linear regression gives the equation written in the plot.

4.1 what is the order of the reaction with respect to the reactant (the drug)? answer: 1

4.2 what is the rate constant of the reaction? answer: 0.270 min-1

4.3 what is the half-life of the drug? answer: 2.57 min

4.4 what is the initial concentration of drug used in the experiment? answer: 6.07 × 10-3 M

4.5 what will the concentration of drug be if you continue your experiment and measure a point at t = 24 min? answer: 9.30 × 10-6 M

4.6 In an independent experiment you found that the activation energy of the reaction is 150 kJ/mol. What is the half-life of the drug at 10∘C? answer: 63.6 min

C -6 10 12 10 20 y 0.2701x 5.1034 time (min) 25