Find time required for tank density to drop by 50 percent

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Reference no: EM131163852

In elementary compressible flow theory (Chap. 9), compressed air will exhaust from a small hole in a tank at the mass flow rate CP, where P is the air density in the tank and C is a constant. If P0 is the initial density in a tank of volume , derive a formula for the density change P (t) after the hole is opened. Apply your formula to the following case: a spherical tank of diameter 50 cm, with initial pressure 300 kPa and temperature 100°C, and a hole whose initial exhaust rate is 0.01 kg/s. Find the time required for the tank density to drop by 50 percent.

Reference no: EM131163852

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