An ideal gas of density ρ = 0.2 kg m –3 enters a chimney of height h at the rate of α =…

An ideal gas of density ρ = 0.2 kg m^–3 enters a chimney of height h at the rate of α = 0.8 kg s^–1 from its lower end, and escapes through the upper end as shown in the figure. The cross-sectional area of the lower end is A₁ = 0.1 m² and the upper end is A₂ = 0.4 m².
The pressure and the temperature of the gas at the lower end are 600 Pa and 300 K, respectively, while its temperature at the upper end is 150 K. The chimney is heat insulated so that the gas undergoes adiabatic expansion.