A tank contains 50 liters of water in which 10 grams of salt is dissolved. Brine containing 2 gram of salt per liter is then pumped into the tank at a rate of 5 L/min; the well-mixed solution is pumped out at slower rate of 3 L/min. Find the numberA(t) of grams of salt in the tank at time t.

Q: A tank contains 90 liters of fluid in which 40 grams of salt is dissolved. Pure water is then pumped…

A: Given that a tank contains 90 liters of fluid which has 40 grams of salt. If pure water is added to…

Q: A 600 litre tank initially contains 200 litres of water in which 10 grams of salt are dissolved.…

A:

Q: A 1500 gallons tank initially contains 600 gallons of water with 5 Ibs of salt dissolved in it.…

A: Please ensure that the concentration of entering water is 2t lbs/gal. ( It is not clear from the…

Q: A tank initially contains 100 gal of pure water. Starting at time t = 0, a brine containing 6lb of…

A: Given: Let us consider a tank holds 100 gallons of pure water at first. A brine containing 6lb of…

Q: 6) A chemical flow into a storage tank at a rate of 180 + 3t liters per minute, where 0st< 60. Find…

A: Given: Rate of flow of chemical in tank in liters per min: dVdt=180+3t 0≤t≤60

Q: In the tank of 100 liters of brine containing 50kg totally dissolved salt. Pure water is allowed to…

A: Let y(t) be the amount of salt dissolved in the tank in kilograms after t minutes. Initially amount…

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

A:

Q: A tank contains 60 kg of salt and 1000 L of water. A solution of concentration .03 kg of salt per…

A:

Q: Initially a tank contains 10 lb of salt dissolved in 100 gal of water. Assume that brine containing…

A: Given that Initially a tank contains 10 lb of salt dissolved in 100 gal of water. Let x(t) be the…

Q: A tank initially holds 80 gal of a brine solution containing - Ib of salt per gallon. At t = 0,…

A: Since you posted a question with multiple parts, we will solve the first three subparts for you. To…

Q: A tank contains 48 gallons of a solution composed of 85% water and 15% alcohol. A second solution…

A:

Q: A tank initially holds 410 liters of brine solution containing 7 kg of salt. At t=0, another brine…

A:

Q: 1. Karlo is driving his padyak 15m/s when he noticed that he is approaching a stalled tricycle that…

A: The motion of padyak included in uniformly accelerated motion with constant acceleration. Equation…

Q: A 100-gallon tank is full of a solution containing 20 pounds of a concentrate. Starting at time t =…

A:

Q: 1. A tank initially holds 100 gallons of brine solution containing 20 lbs. of salt. At t = 0, fresh…

A: Solution...

Q: Suppose a brine containing 2 kg of salt per liter runs into a tank initially filled with 500 L of…

A: Set up a differential equation. Let A(t) denote the amount of salt in the tank at a time t. The tank…

Q: A tank initially holds 50 gal of a brine solution containing 2 Ib of salt. At t = 0 another brine…

A: Given data:- Volume of brine solution, Vo=50 gal Containing salt, a=2 At t=0 any Brine solution…

Q: 1. A tank contains 1,000 L of water and 20 kg of dissolved salt. Fresh water is entering the tank at…

A: Here we are given that A tank contains 100 L of water and 20 kg of dissolved salt.Fresh water is…

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

A: given, brine solution of salt flows at a constant rate of 6 Lmin the tank initially had 100 L of…

Q: A tank contains 45 gallons of a solution composed of 85% water and 15% alcohol. A second solution…

A: image is attached

Q: A tank contains 60 gallons of a solution composed of 85% water and 15% alcohol. A second solution…

A:

Q: You have a shortage of drinkable water in your town and are trying to prepare safe drinking water by…

A:

Q: 1. A brine solution of salt flows at a constant rate of 8 L/min into a large tank that initially…

A: Answer is mentioned below As per the guidelines we are suppose to answer only one question. Please…

Q: 2. A tank initially holds 70 gal of a brine solution containing 2 pounds of salt per gallon. Att =…

A:

Q: 1. A brine solution of salt flows at a constant rate of 4 L/min into a large tank that initially…

A:

Q: A 2000 L tank initially contains 40 kg of salt dissolved in 1000 L of water. A brine solution…

A: Given capacity of tank =2000 L initial amount of water =1000 L rate of in flow of salt =50 L/min…

Q: A tank contains 240 liters of fluid in which 10 grams of salt is dissolved. Pure water is then…

A:

Q: A solution of salt flows at a constant rate of 6 L/min into a large tank that initially held 50 L of…

A: We have, dxtdt=0.3 kg/min - 0.12 xt kg/min⇒dxtdt+ 0.12xt=0.3        ...i Calculating for P(t) and…

Q: A tank contains 60 gallons of a solution composed of 85% water and 15% alcohol. A second solution…

A: A tank contains total solution 60 gallons Compose of 85% water = 51 gallons And 15% alcohol = 9…

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

A:

Q: In a certain resort with a swimming pool having a volume of 10,000 gallons, the pool water has a…

A:

Q: 1. A tank contains 45 liters of a chemical solution prepared by dissolving 80 g of a soluble…

A: Initial condition t= 0min of tank45 liters = Amount of solution in tank, v080g        = Amount of…

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

A:

Q: A tank initially holds 80 gal of a brine solution containing - Ib of salt per gallon. At t = 0,…

A: "Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: A tank contains 50 gallons of a solution composed of 85% water and 15% alcohol. A second solution…

A: Consider the given information. Let y is the number of gallons of alcohol in the tank with rate of…

Q: A tank initially holds 80 gal of a brine solution containing - Ib of salt per gallon. At t = = 0,…

A: Since you posted a question with multiple parts, we will solve the first three subparts for you. To…

Q: In the tank of 100 liters of brine containing 55kg totally dissolved salt. Pure water is allowed to…

A: Suppose that the amount of salt in the mixture be Q. The volume of mixture at time t will be as…

Q: A tank contains 1,158 L of brine with 15kg of dissolved salt. Pure water enters the tank at a rate…

A:

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

A:

Q: A tank contains 240 liters of fluid in which 50 grams of salt is dissolved. Pure water is then…

A: Given :  The quantity of the water in the tank is 240 liters in which 50 grams of salt is dissolved.…

Q: A tank contains 60 gallons of a solution composed of 85% water and 15% alcohol. A second solution…

A: Given ,  A tank contains 60 gallons of a solution composed of 85% water and 15% alcohol. A second…

Q: 2. A tank contains 120 gal of brine made by dissolving 85 Ibs of salt in water. Pure water runs into…

A:

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 20 grams of salt is dissolved. Pure water is then…

A:

Q: A tank contains 150 liters of fluid in which 20 grams of salt is dissolved. Pure water is then…

A:

Q: Brine containing 1.5 lb/gal of salt enters a tank at the rate of 2 gal/min and the mixture…

A:

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

A: Let's find.

Q: A tank contains 500 L of brine with 25 kg of dissolved salt. Brine containing 0.75 kg of salt per…

A: Solution is here