The identity of a carbonyl-containing compound has been narrowed down to three possibilities: acetamide (ethanamide), acetone (propanone), or 1,1,1-trichloropropanone. 1H NMR and IR spectral data for the compound are given below. Determine the structure, and thus the identity, of the compound that gives the observed data.

a. acetone

b. tricolorpropnone

c. acetamide

first one is the correct answer

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