Show for the ideal gas constant r that the following units equivalency is true, rz8314 /k-mol and r-8314 kpa-i/k-mol 1. (-liters, k: absolute temperature, j: joules, pa-pascal) show all steps clearly. calculate the volume occupied by 20 g of carbon dioxide at a pressure of 1 bar and temperature of 30°c, assuming ideal gas behavior. what is the molar volume of co2 under these conditions? 2. 3. an ideal gas is heated at a constant pressure of 6 bar from an initial volume of 1.0 liter and temperature of 0°c to a final temperature of 157°c. a. what is the final volume of the gas? b. how many moles of gas are involved? c. calculate the work done during the change of state of the gas.

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

i belive it is water