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Problem 13.1 - Problem 13.1 Given Air extracted from a...

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Problem 13.1 [Difficulty: 2] Given: Air extracted from a large tank Find: Mass flow rate Solution: Basic equations: m rate ρ V A h 1 V 1 2 2 h 2 V 2 2 2 p ρ k const T p 1 k ( ) k const Given or available data T 0 70 273 ( ) K p 0 101 kPa p 25 kPa D 15 cm c p 1004 J kg K k 1.4 R 286.9 J kg K The mass flow rate is given by m rate ρ A V A π D 2 4 A 0.0177 m 2 We need the density and velocity at the nozzle. In the tank ρ 0 p 0 R T 0 ρ 0 1.026 kg m 3 From the isentropic relation ρ ρ 0 p p 0 1 k ρ 0.379 kg m 3 We can apply the energy equation between the tank (stagnation conditions) and the point in the nozzle to find the velocity
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