Use the equations for particle in a box to apply the free-electron model to hexatriene. If the length of hexatriene can be estimated to be 867 pm, determine the energy for first electronic transition in the molecule. Remember hexatriene has 6 TT electrons. b) What is the average position, , for the electron in the highest energy state after the excitation? You must show your work and justify your answer mathematically.

your answer is c) plasma

~*"auba14"*~

answer : (a) volume of the gas = 8.67 ×   l

                (b) second virial coefficient b = -1.21226 l/mole

solution :   given,     t = 300k

                                p = 20atm

                                z = 0.86

                                n = 8.2 mmoles = 8.2 × moles

                                r =   0.082 l atm/k/mol

        find,     (a) volume of gas   and (b) second virial coefficient b at 300k.

formula used :            

                          and            

(a)            

                    = \times 0.082\times 300}{20}[/tex]

                    = 8.67 ×   l

(b)      

                    = (0.00867-1) × 8.659

                    = - 8.5839 l/mole