2. Beer containing 6% alcohol per gallon is pumped into a vat which initially contains 400 gallons of beer at 3% alcohol. Beer is pumped into the tank at the rate of 3 gal./min. and the well-stirred mixture is pumped out of the tank at the rate of 4 gal./min.

Q: 2. A tank contains 2,000 liters of brine. Brine containing 5N/liter of salt flows in at 10…

A: We will find out the initial concentration of the salt for the given problem.

Q: A container initially contains 15 L of water in which there is 30 g of salt dissolved. A solution…

A:

Q: A tank contains initially 400 liters of brine holding 100 kg of salt in solution. Water containing…

A:

Q: A 200-gal tank is half full of distilled water. At time t=0, a solution containing 0.5 Ib/gal of…

A:

Q: 4. A large tank contains 100 gal of brine in which initially 50 lbs of salt are dissolved. Brine…

A:

Q: Consider a reservoir with a volume of 8 billion cubic feet (ft^3) and an initial pollutant…

A:

Q: A tank contains 300 gal of water and 100 gal of pollutants. Fresh water is pumped into the tank at…

A: Fresh water is pumped into the tank at the rate of 2 gal/min, and the well stirred mixtureleaves at…

Q: A candy company wants to produce 25 kilograms of a special 35% fat content chocolate to conform with…

A: Given: A candy company wants to produce 25 kilograms of a special 35% fat content chocolate.To…

Q: 2. A tank initially contains 1000 gallons of fresh water. Brine containing 3 lbs/gallon of salt…

A: The time taken for the quantity of salt to reach 100 lbs is 16.80555 minutes

Q: A 200 gal tank is half full of distilled water. At time = 0, a solution containing 1 Ib/gal of…

A: given capacity of tank =200 gal concentration =1 lb/gal rate of enter =4 gal/min rate of withdrawn…

Q: A 200-gal tank is half full of distilled water. At time t = 0, a solution containing 0.5 lb /gal of…

A: Given that the size of the tank is 200 gallon. Half of it is full, that means 200/2=100 gallon is…

Q: A tank contains 2,000 gallons of brine. Brine containing 5 lb/gallon of salt flows in at a rate of…

A:

Q: Tank A contains 80 gallons of water in which 20 pounds of salt has been dissolved. Tank B contains…

A: Given, tank A contains 80 gallons of water in which 20 pounds of salt has been dissolved. Tank B…

Q: Initially a tank holds 100 gal of a brine solution containing 4 lb of salt. At t = 0, brine…

A: We will find out the required time.

Q: 2. A tank contains initially 400 liters of brine holding 100 kg of salt in solution. Water…

A:

Q: A sewage disposal plant has a big concrete holding tank of 100,000-gal capacity. It is % full of…

A: Let M(t) be the mass of the organic material in the tank at time t and Mt=CtVt, where C(t) and V(t)…

Q: A 1,000-liter tank initially contains 200 liters of brine containing 100 kg of salt. Brine…

A: Given that, A 1,000-liter tank initially contains 200 liters of brine containing 100 kg of salt.…

Q: A tank contains 400 liters of brine. Twelve (12) liters of brine, each containing 2.50 N of…

A: Given: 400 litres of brine are kept in a tank. The tank receives 12 litres of brine each minute,…

Q: 3. A mixture is transferred into a cylindrical container through a conical filter. If the filter is…

A: The volume of a cone: V=13πr2h Where, r  is the radius of the cone. h is the vertical height of the…

Q: 2. Two cars, one going east with the speed of 45 mph while the second car heading south at 70 mph,…

A: Solution ) the rate at which they are approachung each other = 45 + 70  = 115 m/ h For car 1  Speed…

Q: A tank contains 80 galloons (gal) of pure water. A brine solution with 2 lb/gal of salt enters at 2…

A: Given that, A tank contains 80 galloons (gal) of pure water. A brine solution with 2 lb/gal of salt…

Q: Consider three connected lakes, A, B, and C, where lake B has a volume of 2650 km, and water flows…

A:

Q: the radiator in a car is filled with a solution of 60% antifreeze and 40% water. the manufacturer of…

A: In a 3.6 L radiator, the quantity of antifreeze is given by: In a 3.6 L radiator, the quantity of…

Q: A mixer containing 100 gal of Na,SO, solution (4 lbs of Na2SO4 per gal) is attached to a reservoir…

A: According to the given information,

Q: 12. If a substance decomposes at a rate proportional to the amount of the substance present, and the…

A:

Q: There are 2 pipes connected in a tank which contains 1,000 liters of brine. Brine containing 0.1…

A: Given information ----------------------------------------------------------------- Basic…

Q: A tank contains 400 liters of brine. Twelve (12) liters of brine, each containing 2.5 N of dissolved…

A: If volume of any liquid is inside the container and some amount of liquid is entering and leaving…

Q: A tank contains 1,000 gal of brine in which 500 lb of salt are dissolved. Fresh water runs into the…

A: Form the first order differential equation and solve using separation of variables.

Q: A tank contains 4000 liters (L) of a solution consisting of 120 kg of salt dissolved in water. Pure…

A: Here, ri = 4, ci = 0, r0 = 5, The differential equation is There is no inflow of salt, thus the…

Q: 1. a) A car is driving toward an intersection from the east at 40 mi/h, and a second car is driving…

A: Here the two cars are approaching each other at right angles with different speeds. Therefore the…

Q: 2.) A new building has used 18 tons of cement and is only 30% built. At this rate, how many tons of…

A:

Q: 1. A tank contains 80 gallons (gal) of pure water. A brine solution with 2 Ib/gal of salt enters at…

A: Given that, a tank contains 80 gallons (gal) of pure water. A brine solution with 2 lb/gal of salt…

Q: Two large tanks, each holding 24 liters of a brine solution, are interconnected by pipes as shown in…

A: Let x(t) and y(t) be the mass of salt in tanks T1 and T2 respectively. Fresh water follows into tank…

Q: A tank contains 5000 liters (L) of a solution consisting of 182 kg of salt dissolved in water. Pure…

A:

Q: The ER Dr. has asked you to administer 20 mg of Albuterol via continuous nebulization, over a 4-hour…

A: Consider the information given in the problem, Available dose that is dose in hand =2.5 mg3.0 ml.…

Q: A 100-gallon tank contains 50 gallons of water. Brine, containing 2 Ibs of salt per gallon, flows…

A: Given the data

Q: A tank contains 100 L of water. A salt solution containing 2 kg of salt per liter flow in at the…

A:

Q: 2) A tank, which has a capacity of 100 L, is initially half full of a solution that contains 50g of…

A:

Q: Under certain conditions, cane sugar in water is converted into dextrose at a rate proportional to…

A:

Q: Tank A contains 402 litres of brine holding 123 N of dissolved salt, and tank B contains 402 litres…

A:

Q: 2.21: A tank that can hold 500 gal. originally contains 200 gal. of water with 100 lbs. of salt in…

A: Originally tank can hold water =500 gal. But the water in the tank =200 gal. Salt in the solution of…

Q: A 200-gal tank is half full of distilled water.At time t = 0, a solution containing 0.5 lb / gal of…

A:

Q: 4. Consider a lake of constant volume 12200 km³, which at time t contains an amount y(t) tons of…

A:

Q: We have a mixing tank that contains 100 gallons of water into which 5 pounds of sugar have been…

A: According to question. Initial amount of water in tank= 100gallons Initial amount of sugar = 5 pound

Q: The half-life of a radioactive material whose rate of disintegration is proportional to the amount…

A: Given that, The half-life of a radioactive material whose rate of disintegration is proportional to…

Q: A tank contains 50 gallons of a solution composed of 90% water and 10% alcohol. A second solution…

A:

Q: A stream containing 80 grams per liter of a dye is pumped into a mixing tank with 400 liters of…

A: The answer is 32kg

Q: 12. If a substance decomposes at a rate proportional to the amount of the substance present, and the…

A:

Q: A tank contains 2000 liters (L) of a solution consisting of 182 kg of salt dissolved in water. Pure…

A: