Antifreeze is a compound added to water to reduce the freezing point of a mixture. In extreme cold (less than 2358F), one car manufacturer recommends that a mixture of 65% antifreeze be used. How much 50% antifreeze solution should be drained from a 4-gal tank and replaced with pure antifreeze to produce a 65% antifreeze mixture?

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Q: John wants to make 100 ml of a 5% alcohol solution by mixing a 2% alcohol solution with a 7% alcohol…

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Q: A radiator has 16 L of a 36% antifreeze solution. How much must be drained and replaced by pure…

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Q: A radiator has 15 L of a 20% antifreeze solution. How much must be drained and replaced by pure…

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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…

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

Q: A 200 gal tank is half full of distilled water. At time = 0, a solution containing 1 Ib/gal of…

A: given capacity of tank =200 gal concentration =1 lb/gal rate of enter =4 gal/min rate of withdrawn…

Q: A 600 gallon brine tank is to be cleared by piping in pure water at 1 gal/min. , and allowing the…

A: Let S be pounds of salt in tank at time t, so: or Rewritting the equation above we get:…

Q: A goal is to get at least 10 % of daily calories from polyunsaturated fats as are found in various…

A:

Q: How much of an 80% antifreeze solution should be mixed with 2 gal of a 50% antifreeze solution to…

A: Let the amount of  80% antifreeze required be x then the equation of concentration becomes: 0.8(x)…

Q: A tank contains 2,000 liters of brine. Brine containing 5 N/L of salt flows in at 10 L/min, and the…

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Q: My goal is to get at least 10% of daily calories from fat found in various nuts one servings of…

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

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Q: Calculate the amount of Lidocaine required to compound 1 ounce of 2% (w/w) lidocaine dental gel.…

A: Solution:Part-IGiven:- Lidocain dental gel = 1 ounce                                             =…

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: Now, solve the following problems involving radiation: 2. A man has been exposed to 1 mGy each of…

A: Please check the next step for details

Q: How much water should be added to 10mL of 6​% alcohol solution to reduce the concentration to 5​%?

A: The product of the concentration and the volume must be same.

Q: Q5: how many milliters of sterile water of injection should be added to a vial containing 5 mcg /ml…

A: According questionVial containing of a drug= 5 mcg/mlSolution containing =1.5 mcg/ml of the drug.

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

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Q: Determine how much water is required to dilute 20 liters of a solution that is 15% dye so that a 5%…

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Q: A mixer containing 100 gal of Na,SO, solution (4 lbs of Na2SO4 per gal) is attached to a reservoir…

A: According to the given information,

Q: A 510 mL IV bag contains a 30% dextrose solution. How much of the original solution must be replaced…

A: Given that a 510 mL bag contains a 30% dextrose solution. The original solution is replaced with a…

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 chemist needs 60 milliliters of a solution that is 45% acid but has only 35% and 65% solutions…

A: Consider the needed amount is 60 ml of the 45% of the solution and the available amount is 35% and…

Q: A recipe calls for 2½ teaspoons of fresh chopped rosemary. Rosemary is purchased in 1-ounce bunches…

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Q: Quinidine gluconate is a liquid mixture, part medicine and part water, which is administered…

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

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Q: In a nuclear power plant, a 1.0 kg of water at 74.5 °C is converted into 1.0 kg of steam at 115 °C.…

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Q: A scuba tank holds 2.6 ㎥ of compressed air. A diver at a shallow depth uses about 0.002 ㎥ per breath…

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

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Q: solution is prepared by diluting 15.0 mL of 13.7-M phosphoric acid solution to a final volume of…

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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: An empty Boeing 747 weighs about 175 tons. How much does it weigh in ounces? If this same Boeing 747…

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

A:

Q: The radiator car is filled with a solution of 65% antifreeze and 35% water. The manufacturer of the…

A: The capacity of the radiator is 3.9L.Let x be the amount of coolant to be drained.

Q: When an urn is full of water it has a mass of 2900 grams. When the urn is half full of water it has…

A: Given Data: The total mass when the urn is full of water is: m1=2900 g The total mass when the urn…

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

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Q: A civil engineer relates the thickness T, in inches, and height H, in feet, of a square wooden…

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Q: The side of a cube is increasing at a rate 7m/8, then the rate at which the m³/s. volume of the cube…

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Q: A bunch of pears’ AP weight is 3# 4oz. Their weight after peeling, coring, and slicing is 1# 14 oz.…

A: Given A bunch of pears AP weight is 3# 4 ozand  edible portion weight is 1# 14 oz

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: A hair dye is made by blending 14% hydrogen peroxide solution and 8% hydrogen peroxide solution. How…

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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 radiator has 13 L of a 35% antifreeze solution. How much must be drained and replaced by pure…

A:

Q: D. Amy needs to make 10 L of 42% sulphuric acid solution. In the supply room, she finds bottles of…

A: Amy needs to make 10 L of 42% sulphuric acid solution. In the supply room, she finds bottles of 30%…

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: A pot contains 5 L of brine at a concentration of 80 g/L. How much of the water should be boiled off…

A: Let x = liters of water to be boiled off.

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.