air pumped into a spherical tank

Project Description:

consider a spherical tank of air originally at atmospheric pressure (1.103*10^5 n/m^2). air is being supplied at a uniform velocity of 2 m/s through a tube of diameter 2 cm. the inlet pressure is maintained at 3*10^5 n/m^2 and the temp of the tank and inlet pipe are maintained at 300k. determine the time required for the pressure in the tank to reach 2*10^5 n/m^2.
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