A 1000 L tank contains 500 L of water with a salt concentration of 10 g/L. Water with a salt concentration of 60 g/L flows into the tank at a rate of 80 L/min. The fluid mixes instantaneously and is pumped out at a specified rate Rout. Let y(t) denote the quantity of salt in the tank at time t. Find the salt concentration when the tank overflows assuming that Rout = 40 L/min.

When physicians diagnose arterial blockages, they quote the reduction in flow rate. If the flow rate in an artery has been reduced to 14.3% of its normal value by a blood clot and the average pressure difference has increased by 23.0%, by what factor has the clot reduced the radius, ro, of the artery? r= ro

A 100 mL beaker holds 120 g of liquid. What is the liquid’s density in SI units?

A bottle with a volume of 181 U. S. fluid gallons is filled at the rate of 1.6 g/min. (Water has a density of 1000 kg/m3, and 1 U.S. fluid gallon = 231 in.3.) How long does the filling take?

Need Help: It is known that a cubical object made of cast aluminum 0.213 m on a side contains a hollow cavity also in the shape of a cube but of unknown dimensions. If the mass of the object is 22.8 kg, determine the length of each side of the interior cubical cavity. The density of aluminum is 2.70  103 kg/m3. Given Tip: How is the volume of the cubical object related to the volume of aluminum in the object and the volume of the cubical cavity? How is the mass of the cubical object related to the mass of aluminum in the object? Recall how the volume of a cube is related to the length of each side of the cube.

A reservoir of water has the surface at 310 m above the outlet nozzle of a pipe with diameter 15 mm. Applying Torricelli's theorem, what is : (a) the velocity of efflux (b) the discharge out of the nozzle, in metre'/second.

Given a cylindrical container with a small 0.2 cm diameter hole a distance of 2 cm from the bottom, devise a method for determining the velocity of the water that would flow out of the hole? You only have rulers and a stopwatch. Describe your method here. Sbiect

For modeling and calculation purposes, architects treat air as an incompressible fluid. As an architect's intern, you are doing the specs on a dorm air conditioning system that is designed to replace the air in each room every twenty-three minutes. If the rooms each have a volume of 200 m3and they are supplied by ducts with a square cross section, determine the following. (a) the length of each side of a duct if the air speed in the duct is to be 3.6 m/s. m (b) the length of each side of a duct if the air speed at the duct is to be a value twice this speed.m

Bowling balls are roughly the same size but come in a variety of weights. Given that the official radius a bowling ball should have is roughly 0.111 m, calculate the weight of the heaviest bowling ball that will float in a fluid of density 1.100 × 10° kg/m³. weight: N

When a person inhales, air moves down the bronchus (windpipe) at 13.8 cm/s. The average flow speed of the air doubles through a constriction in the bronchus. Assuming incompressible flow, determine the pressure drop in the constriction. Neglect the change of pressure due to change in height ?y in the wind pipe. If the pressure goes down then the pressure drop is negative. Use 1.20 kg/m33 for the density of air.