Two large vessels contain uniform mixtures of nitrogen (component A) and carbon dioxide (component B) at 1 atm, T = 289 K, but at different concentrations. Vessel 1 contains 90% N2 and 10% CO2 by moles, whereas vessel 2 contains 20% N2 and 80% CO2 by moles. The two vessels are connected by a duct of 0.1524 m ID, and 1.22 m long. Determine the rate of transfer of nitrogen between the two vessels by assuming that steady-state transfer takes place in view of the large capacity of the two reservoirs. Take the mass diffusivity for N2 – CO2 mixture as 0.16 ¥ 10–4 m2/s.