An ideal gas of density 0.2 kg m⁻³ enters a chimney at 0.8 kg s⁻¹. Lower area A₁ = 0.1 m², upper area A₂ = 0.4 m², lower pressure 600 Pa, lower temperature 300 K and upper temperature 150 K. The chimney is adiabatic with γ = 2. Select the correct statements. Image
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Question

An ideal gas of density 0.2 kg m⁻³ enters a chimney at 0.8 kg s⁻¹. Lower area A₁ = 0.1 m², upper area A₂ = 0.4 m², lower pressure 600 Pa, lower temperature 300 K and upper temperature 150 K. The chimney is adiabatic with γ = 2. Select the correct statements. Image

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G1 Physics · Accepted Answer

Step 1: Use hydrostatic equilibrium, P₂−P₁ = ρgΔh; in an accelerating fluid replace g by the effective acceleration where required. Step 2: Equate pressures at the same horizontal level or integrate pressure over the stated surface. Applying these relations to the given data gives B: Gas speed is 40 m s⁻¹ at lower end and 20 m s⁻¹ at upper end.. Final answer: B.