A solution of salt flows at a constant rate of 6 L/min into a large tank that initially held 50 L of solution in which was dissolved 0.5 Kg of salt. The solution inside the tank is kept well stirred and flows out of the tank at the same rate. If the concentration of salt in the solution entering the tank is 0.05 Kg/L, determine the amount of salt in the tank after t minutes. When will the concentration of salt in the tank reach 0.03 Kg/L? 5.-

Q: A tank initially holds 100 gallons of brine solution containing 20 lbs. of salt. At t = 0, fresh…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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

A:

Q: A fluid is being pumped from a cylinder into a rectangular prism with a square base. The base has…

A:

Q: A 131 L mixing tank initially contains 65 L of brine solution with a concentration of 7 g/L. Brine…

A:

Q: A brine solution of salt flows at a constant rate of 9 L/min into a large tank that initially held…

A:

Q: A brine solution of salt flows at a constant rate of 9 L/min into a large tank that initially held…

A: We need to find rate and mass.

Q: A brine solution of salt flows at a constant rate of 6 L/min into a large tank that initially held…

A:

Q: A tank contains 100 liters of brine, with 50 kg total dissolved salt. Saltwater, with a…

A:

Q: A tank initially contains 100 gal. gf salt solution, where 50 Ibs. of salt is added. Salt solution…

A:

Q: A 20 m tank is full of brine with 40 kg of dissolved salt. Pure water enters the tank at a rate of…

A: In this question, we find the amount of solt when the takl half full. given that  Initial amount of…

Q: a tank initialy holds 80 gal. of a brine solution containing 1/8 lb of salt per gallon. at t=0,…

A:

Q: A 128 L mixing tank initially contains 74 L of brine solution with a concentration of 5 g/L. Brine…

A: Brine solution with a concentration of 8g/L flows into the tank at a rate of 7L/min.The solution is…

Q: A tank contains 100 gal of brine made by dissolving 80 lb of salt in water. Pure water runs into the…

A: Many real-life problems can be modeled using differential equations. This is one of the significant…

Q: A tank initially holds 1 cubic meter of a brine solution containing 20 kg of salt. Att= 0, fresh…

A:

Q: A cylindrical tank 24 inches in radius and 2 meters tall initially contains 100 gal of cane juice. A…

A: Please check step 2 for solution.

Q: A brine solution of salt flows at a constant rate of 9 L/min into a large tank that initially held…

A: Let amount of salt in solution is x at any time t. Given information Initially, volume of solution…

Q: A tank initially holds 80 of brine solution containing 1/8 b of salt per gallon. At t-0. another…

A:

Q: The tank shown in the figure was filled with 100 liters of substance A in a concentration of 10g /…

A: Given: The tank having 100 liters of substance A in a concentration of 10g / L. Material A is fed…

Q: A 200g-tank holds 100 gallons of fresh water upon first. At t = 0, a 5 gal/min salt solution…

A: Given initial quantity of freshwater in the 200-gallon tank = 100 gallons At t=0, salt solution is…

Q: A tank contains 45 liters of a chemical solution prepared by dissolving 80 g of a soluble substance…

A: We will find out the required value.

Q: A tank initially contains 1 gram of blue dye dissolved in 10 liters of water. Pure water will be…

A: Given Data: The amount of blue dye dissolved is: D= 1 g The amount of water in the tank is: W = 10 L…

Q: A tank whose volume is 150 L is initially half full of a solution that contains 100 g of chemical. A…

A: Given that, A tank whose volume is 150 L is initially half full of a solution that contains 100 g of…

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

A: For the given statement

Q: A brine solution of salt flows at a constant rate of 5 L/min into a large tank that initially held…

A: Given that, A brine solution of salt flows at constant rate of 5L/min, initial volume is 100L, and…

Q: A tank initially holds 80 gal of a brine solution containing 1/8 lb of salt per gallon. At t=0,…

A:

Q: A container contains 80 liters of pure water. A brine solution with 2 kg/L of salt enter at 2 L/min,…

A:

Q: A 100 L mixing tank initially contains 50 L of brine solution with 16 g/L concentration. Brine…

A: Let V be the volume of the tank. Thus, Vt=50+4+2-5t       =50tL where, t is the time in minutes.

Q: air containing 30% oxygen passes slowly into a 3 gallon flask initially filled with pure oxygen and…

A:

Q: A perfectly spherical balloon is losing volume at a rate of 3 in3 per sec. How fast is the balloon’s…

A:

Q: A tank initially holds 1 cubic meter of a brine solution containing 20 kg of salt. Att = 0, fresh…

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: A tank contains 40 L of solution containing 2g of substance per liter. Salt water containing 3g of…

A: Initially there is 40*2 = 80 grams Let Q be the amount of substance in the tank and dQ/dt be the…

Q: Suppose a water tank is being pumped out at 3 L/min. The water tank starts at 10 L of clean water.…

A:

Q: gallon is poured into the tank at a rate of 2 gal/min, while the well-stirred mixture leaves the…

A:

Q: A brine solution of salt flows at a constant rate of 5 L/min into a large tank that initially held…

A: A tank contains 100L solution in which 0.3 kg of salt was dissolved.  Let, x(t) be the mass of the…

Q: A tank initially contains 100 L of a well-mixed water-and-salt solution, with salt concentration of…

A: As the solution well mixed water and solution solution and flowing out with the constant rate of 2 L…

Q: A certain radioactive material is known to decay at a rate proportional to the amount present.…

A: Given a certain radioactive material is known to decay at a rate proportional to the amount present.…

Q: A large tank is partially filled with 400 L of fluid in which 5 kg of salt is dissolved. Brine…

A: The number of kilograms of salt in the tank after 30 minutes is 133.18 kg.

Q: A brine solution of salt flows at a constant rate of 8 L/min into a large tank that initially held…

A:

Q: A brine solution of salt flows at a constant rate of 8 L/min into a large tank that initially held…

A:

Q: A brine solution of salt flows at a constant rate of 8 L/min into a large tank that initially held…

A:

Q: There's a tank containing 50 L of a solution into which 10 g of salt is dissolved in. A solution…

A: image is attached

Q: A brine solution of salt flows at a constant rate of 7 L/min into a large tank that initially held…

A: Let x(t) be the mass of salt in the tank at the time t.xi(t) be the amount of solution coming in to…

Q: A tank contains 200 liters of fluid in which 30 grams of salt is dissolved. Brine containing 1 gram…

A: Question is solved.

Q: A tank is initially filled to capacity with 250 L pure water. At t = 0, brine containing 2 g/L salt…

A: A tank initially contain 250L pure water Let y be the number of liter water filled in tank at any…

Q: A tank contains 400 gallons of fluid in which 50 lb. of salt is dissolved. Brine containing 2 Ib/gal…

A: Given that : A tank contains 400 gallons of fluid in which 50 lb of salt is dissolved.

Q: A tank contains 200 liters of fresh water. Brine containing 2.5 N/L of dissolved salt runs into the…

A:

Q: A 131 L mixing tank initially contains 58 L of brine solution with 310 g of dissolved salt. Brine…

A:

Q: The population of bacteria in a culture grows at a rate proportional to the number of bacteria…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.