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A rigid, high-pressure tank has a volume of 3.8ft3 and containss nitrogen at 185 psia and at 290 F. A small leak develops in a valve connected to the tank, and the mass flow rate through the leak is 2e-5 lbm/s. The area of the hole causing the leak is 0.01 in2. Calculate the velocity of the nitrogen through the hole, assuming that the state of the nitrogen at the location of the hole is the same as the state of the nitrogen inside the tank. Determine the mass of the nitrogen in the tank if the leak continues for 24h, assuming that the leak rate is constant.
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