a. Determine the order of the reaction. b. What is the value of the rate constant and half-life of the drug? Problem 8 ( 15 points): Radioactive decay is a first-order reaction. Carbon-14 is used in determining the age of a fossil or archaeological sample. The half-life for the decay of 14C is 5730 years. A certain ancient wood found in an excavation site was analyzed for its 14C content and compare it with living trees. It was found out that the sample contains only 64% of the 14C remaining on its bark. What is the age of the wood? Problem 9 (15 points): A reaction of 2A products is second order with respect to A. It has a half-life of 2.50 hours. Calculate the time required for the concentration of A to change from 0.320moldm3 to 0.015moldm3. What is the value of the rate constant? Problem 10 (15 points): Determine A and E, from the following data: T(K)3003504004503.2108 What is the value of the rate constant at 365K ? Problem 11 (15 points): Nitrogen gas was adsorbed in activated carbon at 196.15K. The following data were obtained: P(atm)Vol(mL/g)3.510110.013616.715333.525.716239.2165165166 Assuming Langmuir isotherm, determine the volume at 12atm. Problem 12 (15 points): Using the values for the standard electrode potential below, calculate for the standard cell potential. Calculate for the standard Gibbs free Energy. Calculate for the cell potential at 323.15K using the Nernst Equation given that the molal concentration of the Zn2 aqueous solution (ZnCl2) is 0.10mol/kg. Znn(s)Zn2++2e(Anode)AgCl(s)+eAg(s)+Cl(Cathode) Nernst Equation for calculation of the cell potential at the nonstandard state: Ecell=Ecell02FRTln[(v+)v+(v)v(mi)v++v]