A tank contains 100 litres of brine in which 20 gm of salt is dissolved. Brine containing 3 gm / litre of salt enters the tank at the rate of 5 litres / min. The well-stirred mixture leaves the tapk at the same rate Find tbe amount of sal+ in the tank after 50 minutes

Q: An open tank with a 200L capacity is half-filled with pure water. A salt solution with a…

A: Let’s set up a differential equation. We are given r1 = 15L/h, r2 = 10L/h, c1 = 10g/L, V(0) = 100L…

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 tank contains 100 L of pure water. Brine that contains 0.1 kg of salt per liter enters the tank at…

A: Let y(t) = the amount of salt in the tank in kg. So the concentration at time t minute is then…

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

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Q: A tank contains a brine solution. Fresh water enters the tank at a rate of 5 gal/min while the…

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Q: Water flows into an empty reservoir at a rate of 1000 + 220t liters per hour (t in hours). What is…

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Q: A tank contains 60L of water contaminated with Mercury at a concentration of 0.03 mg/L. Clean water…

A: Here we need to find and then solve the differential equation for the concentration of mercury using…

Q: A tank contains 1000L of brine with 16kg of dissolved salt. Pure water enters the tank at a rate of…

A: Given: A tank contains 1000L of brine with 16kg of dissolved salt. The pure water enters the tank at…

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

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

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Q: A tank initially have 200 L of water with 80 grams of dissolved salt. Pure water enters at a rate of…

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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: 2. A large tank is partially filled with 100 gallons of fluid in which 10 pounds of salt is…

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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 968 L of brine with 15kg of dissolved salt. Pure water enters the tank at a rate…

A: Solution : We have given that a tank contains 968 L of brine with 15kg of dissolved salt. Pure…

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

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Q: A tank contains 100 gal of brine made by dissolving 60 lb of salt in water. Saltwater containing 1…

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Q: A large tank is partially filled with 100 gallons of fluid in which 10 pounds of salt is dissolved.…

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

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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 contains 150 L of pure water. Brine that contains 0.2 kg of salt per liter enters the tank at…

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Q: A 500 gallon tank is completely filled with water. Pure water is poured into the tank at a rate of 5…

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Q: A tank contains 400 liters of brine holding 100 kg of salt in solution. Water containing 125g of…

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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: A tank contains 200 liters of fresh water. Brine containing 2 kilograms per liter of salt enters the…

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

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Q: A 1500-L tank is initially filled with a solution that contains 3000 g of salt. A salt solution with…

A: This question can be solved using the concept of differential equation.

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: A large tank initially contains 100 liters of brine in which there is dissolved 5 grams of salt.…

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Q: A tank contains 100 gal of salt solution consisting of 1 lb/gal. A solution containing 2 lb/gal salt…

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Q: A tank initially contains 100 gallons of brine whose salt concentration is 3 lb/gal. Freshwater is…

A: We will make a differential equation for amount of salt and then will solve it to get amount of salt…

Q: A large rank contains 100 gal of brine in which 10 ib of salt is dissolved, Brine containing 0.2 Ib…

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

A: Solution : We have given that in a tank of 100 liters of brine containing 50 kg total dissolved…

Q: A swarm of bees is spreading from an original region of 1 square mile. The region the swarm occupies…

A: Given that the original region of 1 square mile.  After 1 year area will be 2(1)=2=21 square miles…

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: Pure water is poured at a rate of 3 m³/min into a tank containing 300 kg of salt dissolved in 100 m³…

A: Initially 300 kg of salt dissolved in 100 m3 of water,Rate of pouring in pure water = 3m3min,Rate of…

Q: 3. Water flows from a storage tank at a rate of (500 – 5t) liters per minute. Find the amount of…

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Q: 2. Beer containing 6% alcohol per gallon is pumped into a vat which initially contains 400 gallons…

A: since nothing is mentioned in the question so lets calculate the number of gallons of alcohol A(t)…

Q: Brine containing 3 lbs per gal of salt enters a large tank at the rate of 2 gal/min and the mixture…

A: We are given that, a brine containing 3 lbs per gal of salt enters a large tank at the rate of 2…

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

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Q: A tank contains 70 gallons of pure water. A brine solution with 2 lbs / gal of salt enters at 2.25…

A: We convert this problem into a differential equation then solve the differentials equation.

Q: · A tank contains 968 L of brine with 15kg of dissolved salt. Pure water enters the tank at a rate…

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Q: A tank is utilized for mixing sugar solutions which can initially contain 80 gallons of water. A…

A: To find: Amount of sugar in the tank after 10 minutes

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

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Q: A tank contains 1800 liters (L) of fluid in which 180 grams (g) of salt is dissolved. Solution…

A: Given that  Tank contains 1800 litres of water Salt 180 grams was mixed Rate of flow for inlet is 30…

Q: A container holds 200 gallons of brine solution containing 50 lb of salt. Initially , fresh water is…

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Q: A tank initially contains 100 gal of water in which is dissolved 2 lb of salt. The salt-water…

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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.