In an oil refinery, a storage tank contains 2000 gal of gasoline that initially has 100 lb of an additive dissolved in it. In preparation for winter weather, gasoline containing 2 lb of additive per gallon is pumped into the tank at a rate of 40 gal > min. The well-mixed solution is pumped out at a rate of 45 gal / min. How much of the additive is in the tank 20 min after the pumping process begins ?

Q: A 250 mg per L solution of drug is adminstered intravenously at a rate of 50 ml. per hr to a patient…

A: 1st we will make differential equation for amount of drug in the body and then solve it to get exact…

Q: if you mix 10lbs of peanuts costing $1.50 per pound with cashews costing $2.50 per pound, how many…

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: How many vials of Lantus will you dispense for a 30 day supply if a patient injects 65 units…

A: It is given that patient injects 65 units and 10ml/vial=100 units/ml

Q: If a diabetic patient injects 20 units of insulin twice daily, how many days will a 10-mL vial of…

A:

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: In a mixing vat there are initially 100 litres of volatile liquid. 3 litres of fresh liquid are…

A: Solution

Q: A tank originally contains 380 litres of brine holding 450 N of dissolved salt. Eight es/min of…

A: Given: A tank contain 380 litres of brine and of dissolved salt is  450 N. And, The rate of entering…

Q: A physician orders Pitocin (oxytocin) 2 units in 1L of D5W. 7. How many units are in 100 mL of the…

A: For this problem, we know that one litre is equal to 1000mL. According to this we can calculate.

Q: A vintner fortifies wine that contains 10% alcohol by adding a 70% alcohol solution to it. The…

A: The Final mixture is 1000 liters which is 16 x alcohol so, It contain 0.16 multiply 1000 = that is…

Q: A patient needs 1mg of a medication. The Australian Injectables Drug Handbook states that each gram…

A:

Q: A container that has 5 L of water with 1 kg salt dissolved is to be filled by pure water at a rate…

A: Solve by making differential equation

Q: A 60 kg individual needs to work at a MET level of 8 to reach her target heart rate.  If the…

A:

Q: If a child accidentally swallowed 2 fluidounces of FEOSOL Elixir, containing 2/3 gr of ferrous…

A: The unitary method is a very important method that is used in mathematics. When the value of a…

Q: There is a large mixing tank that initially holds 120 gallons of brine (water in which salt has been…

A:

Q: A goldsmith mixes 10oz of a 35% gold alloy with 20oz of a 17% gold alloy. What is the percent…

A: We have to find concentration of the resulting alloy if a goldsmith mixes 10oz of a 35% gold alloy…

Q: How long will it take 1,000 mL to infuse if the flow rate is 125mL/h?

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: Two closed-lid tanks are connected in series. The first tank initially contains 100 grams of salt…

A:

Q: A car owner buys 360 TL for gas every month, and since he bought 72 and 60 liters of gasoline in the…

A: We have to find average price

Q: A clinical laboratory technician determines that a minimum of 75 mL of working reagent is needed for…

A: Given, reagent =75mL Mixture = 4x75 =300mL

Q: A vat contains 4000 litres of wine with an alcohol content of 10%. How much of this wine must be…

A: Let x litres of wine be  removed and is replaced by a wine with an alcohol content of 17%. Then,…

Q: A patient needs 2mg of a medication. The Australian Injectables Drug Handbook states that each gram…

A:

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: Tank A contains 499 litres of brine holding 192 N of dissolved salt, and tank B contains 499 litres…

A:

Q: How many grams of sodium fluoride should be added to 100,000 liters of drinking water containing 0.6…

A: As per company guideline we are supposed to answer only one question. for other solution kindly…

Q: The physician orders 50 units of regular insulin in 250 mL of 0.9% normal saline.  If the IV pump is…

A: Given data:     The given amount of insulin in 50 units: X=250 ml. The amount of insulin received by…

Q: A pharmacist needs to make 400 mL of a 3% KCl solution by diluting a 6% KCl solution. How many mL of…

A: The initial percentage = 6%  The final percentage=3% So the percentage of KCI decreased by final…

Q: If the tank is completely full, how much is overflowing if 530 GPM is being taken off the bott

A: Given: Let the rate of filling be Qin = 1250 GPM  the rate of draining be Qdrain = 530 GPM Because…

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 certain pollutant has a concentration of 120 part per million (ppm)  in large tank. A filtration…

A:

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 patient needs 4mg of a medication. The Australian Injectables Drug Handbook states that each gram…

A: The patient needs a medication of 4mg and as per Australian Injectables Drug Handbook 1 gram value…

Q: A storage area has space for 20,000 parts. Currently 15,000 parts are stored there. How many percent…

A: We have to find capacity used.

Q: A ballon has 4 moles of gas and occupies 50 L. What is the new volume if 2 moles of gas are added to…

A: Given data, Number of moles of gas, N = 4 The volume occupies by the Gas, V = 50 L.

Q: A hair dye is made by blending 7% hydrogen peroxide solution and a 4%hydrogen peroxide solution. How…

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 biologist has two brine solutions, one containing 10% salt and another containing 70% salt. How…

A:

Q: 1. if you mix 10lbs of peanuts costing $1.50 per pound with cashews costing $2.50 per pound, how…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

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

A: Given:-amount of brine in the tank=1000 gallonssalt are dissolved in brine=500 lbsrate of fresh…

Q: A large mixing tank initially contains 500 gallons of water in which 40 pounds of salt have been…

A: Given, A large mixing tank initially contains 500 gallons of water in which 40 pounds of salt have…

Q: A hospital worker combined 2 fluidounces of a povidone-iodine cleaner, 7.5% w/v, with 4 fluidounces…

A: A hospital worker combined 2 fluidounces (7.5% w/v) of  a povidone-iodine cleaner with 4…

Q: How much water should be evaporated from 40% v/v alcohol in order to prepare 3000 ml of 60% ( v/v)…

A:

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: 2. How many kilograms of powdered detergent must be added to a rinsing solution containing 20% of…

A: To determine how many kilograms of powdered detergent must be  added to a rinsing solution…

Q: A vessel with 500 gallons of beer contains 4% alcohol (by volume). Beer with 7% alcohol is pumped…

A:

Q: A 150 mg per L solution of drug is administered intravenously at a rate of 30 mL per hr to a patient…

A: Given that: A 150 mg per L solution of drug is administered intravenously at a rate of 30 mL per hr…

Q: How much water must be evaporated from 240 mL of a 10% salt solution to produce a 25% salt solution?

A:

Q: I have a large pot containing 6 liters of soup broth. If I divide the soup broth into 3lg liters for…

A: Solution...

Q: Assume that you are attending a patient receiving intravenous medication. The doctor orders 24 mls…

A:

Q: A large mixing tank currently contains 300 gallons of water, into which 8 pounds of sugar have been…

A: given: Capacity of tank = 300 gallon Amount of sugar = 8 pounds Rate of pouring of water = 20…

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.