A tank has pure water flowing into it at 12 L/min. The contents of the tank are kept thoroughly mixed, and the contents flow out at 8 L/min. Initially, the tank has contains 5 kg of salt in 200 L of water. What is the salt (kg) in tank after 30 min

Q: . A tank contains 1,500 liters of water and 20 kg. of dissolved salt. Fresh water is entering the…

A: Using mixing problem formula we find the general amount of salt at any time t minutes and then…

Q: A solution containing at 2 lb of salt per gal is poured at 3 gal per min into a 300-gal tank that…

A:

Q: A tank contains 1000 liters of brine with 15 kg of dissolved salt. Pure water enters the tank at a…

A: Let x represents the amount of salt after t minutes. Given that, the initial amount of salt is 15…

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

A:

Q: The volume of a cube decreases at a rate of 10 m3/s. Find the rate at which the side of the cube…

A: We have to find rate  of change of side of cube .dV/dt  is negative beacuse it is…

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

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 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 100 gal of brine made by dissolving 60 lb of salt in water. Saltwater containing 1…

A:

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

A:

Q: A solution containing 3g/L of a salt solution pours into a tank, initially half full of water, at a…

A:

Q: Correcting a Goof Into a tank containing 100 gal of fresh water. Wei Chen was to have added 10 lb of…

A: Tank contains 100gal of fresh water.  Wei chan have to add 10 lb of salt.  But by mistake added 20…

Q: A prankster puts 4 lb of soap in a fountain that contains 200 gal of water. To clean up the mess a…

A: Given:          A prankster puts 4 lb of soap in a fountain that contains 200 gal of water.…

Q: A tank has a total capacity of 100 L, but initially it contains 15 L of pure water. Water flows into…

A: Given: The initial volume of fresh water in the tank is 15 L. This means the initial concentration…

Q: At 9 p.m., a cylinder containing 240 liters of brine in which 12kg of salt is dissolved. Brine…

A: We will find how much salt in the cylinder is by 9.30

Q: A tank contains 20 kg of salt dissolved in 5000 L of water. Brine thatcontains 0.03 kg of salt per…

A:

Q: A tank initially contains 50 gal. of fresh water. Brine (water in which a certain number of pounds…

A:

Q: A tank contains 100 gallons of pure water. A brine solution with 2 Ib/gal of salt enters at 3…

A:

Q: A tank contains 100 litres of brine in which 20 gm of salt is dissolved. Brine containing 3 gm /…

A: Here I am attaching image so that you understand each and every step. A tank contains brine=100…

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 tank contains 1,500 liters of water and 20 kg. of dissolved salt. Fresh water is entering the tank…

A:

Q: An IV Piggyback of lincomycin containing 5 gms of drug in 175 mL is to be infused over a 1 hour…

A:

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

A:

Q: continuous IV is infusing at 40 mL/h.  How many milliliters will infuse in 30 minutes?

A: 1 hour is equal to 60 minutes.

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…

A:

Q: Brine containing 3lb/gal of salt enters a tank at the rate of 4gal/min and the solution well-stirred

A: Given that the initial amount of salt is zero( because of pure water) Rate in 4gal/min Rate out…

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 tand contains 1000 liters of pure water. Brine that contains 0.05 kg of salt per liter of water…

A:

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

A: Given the data

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: tially contains 50 gal. of fresh water. Brine (water in which a certain number of pounds of salt…

A:

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 gas is heated from 40°C to 45°C. The volume is increased from 21.0L to 35.0L. If the original…

A:

Q: 28.lf a flash of lightning is observed in a cloud 2640 m away and the speed of sound in air is 330…

A: Given that: Distance between the observer and cloud=2640 mSpeed of sound=330 m/s

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: 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: A tank has a total capacity of 100 L, but initially it contains 15 L of pure water. Water flows into…

A: Given :- The total capacity of tank = 100 L Initially amount of fresh water in a tank = 15 L Saline…

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…

A:

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

A:

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…

A:

Q: A 30 m³ tank is full of brine with 40 kg of dissolved salt. Pure water enters the tank at a rate of…

A: Volume of the tank is 30 m3 The tank is full of brine with 40 kg of dissolved salt. Pure water…

Q: Water flows into an empty reservoir at a rate of 2200+10t gal/hour . What is the quantity of water…

A:

Q: A tank containing 100 gallons of brine made by dissolving 40 lbs of salt in water. Pure water runs…

A: Pure water in flow rate = 5 galmin

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.