Steam enters an insulated tank through a valve. At a given instant, the mass of steam in the tank is found to be 10 kg, and the conditions at the inlet are measured as follows: A = 50 cm2, V = 31 m/s, and ρ = 0.6454 kg/m3. Determine
(a) dm/dt treating the tank as a system.
(b) Assuming the inlet conditions to remain unchanged, determine the mass of steam in the tank after 10 s.