A rigid tank of volume 1.5 m 3 initially contains atmospheric air at 20C and 150 kPa.

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A rigid tank of volume 1.5 m3 initially contains atmospheric air at 20°C and 150 kPa. Now a compressor is turned on, and atmospheric air at a constant rate of 0.05 m3/s is supplied to the tank. If the pressure and density in the tank varies as P/ρ1.4 = constant during charging, 

(a) Obtain a relation for the variation of pressure in the tank with time

(b) Calculate how long it will take for the absolute pressure in the tank to triple.

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