A mixture of 40mole% nitrogen gas (N2) and the balance hydrogen gas (H2) flows through a heater before entering a reactor which produces ammonia. The heating process occurs at a constant pressure of 2.0 atm. The inlet flow rate of the gas to the heater is 50.0 L/hr. In inlet stream to the heater has a temperature of 25 °C. The outlet stream has a temperature of 500.0°C (a) What is the molar flow rate of nitrogen gas into the heater?
(b) What is the molar flow rate of hydrogen gas into the heater?
(c) What is the volumetric flow rate of gas out of the heater?

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