A 1200-liter capacity tank holds 100 Liters of pure water. A sugar-water slurry containing a sugar concentration of 3 kg/L is poured into the tank at a rate of 10 L/min. Meanwhile, a drain in the tank permits 5 L/min of the slurry to escape. Assuming instantaneous mixing of the contents of the tank, develop the DE whose solution will describe the mass of sugar in the tank at any time. Then state the condition when the maximum amount of sugar will be in the tank.

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A hydrocyclone is fed at the rate of 20tons/hr of dry solids. The hydrocyclone feed contains 30% solids, 50% solids underflow and 15% solids overflow by weight. Calculate the tonnage of solids per hour in the underflow

A tank initially have 200 L of water with 80 grams of dissolved salt. Pure water enters at a rate of 5 L/min. Well stirred mixture is pumped out of the tank at the same rate. Find the remaining amount of salt after 15 minutes.

A device used for treating of agri-effluents has an inflow of 8 cubic feet per second and the amount of phosphorous in it is 20 milligrams per liter. The device media consists of wood and charcoal. This device eliminates 0.8 milligrams per liter of phosphorous for every 1 cubic feet of media. If the device is required to have an outflow phosphorous concentration of 0.9 milligrams per liter then find the volume of the filter media required for the device.

A tank with a capacity of 25 L originally contains 15 L of brine with a concentration of 5 g/L of salt. Water containing 1 g/L of salt is entering at a rate of 5 L/min, and the mixture is allowed to flow out of the tank at a rate of 4 L/min. Find the concentration (in g/L) of salt in the tank when it is on the point of overflowing.

A tank of capacity 300 liters originally contains 80 litres of brine with 1/8 kg of salt. A mixture of 1 kg salt per liter is poured into the tank at a rate 4 liters per minute. The mixture is well stirred and allowed to leave the tank at a rate 8 liters per minute. a) Determine the amount of salt in the tank at any time. b) Determine the amount of salt in the tank at the instant when the tank begin to overflow.

A vessel at time 0 contains "Vo" gallon(s) of brine with "ma" lb of salt. Another salt solution with "m," kg of salt per gallon enters the vessel at a rate of "Qin" gal/min. Find a D.E. for the amount of salt, "m" in the tank at any time, "t" if the thoroughly mixed solution leaves the tank at a rate of "Qout" gal/min. Select the correct response: dm m = 2.2m,Qout Vo dt mQout Vo + (Qout – Qin)t dm miQin dt dm m = 2.2m,Qout Vo dt dm = 2.2m,Qin dt mQout Vo + (Qin – Qout)t none of these

If 150 g of copper at initial temperature of 50 °C gains 6930 J of heat when it is cooled to 170°C. The specific heat capacity is