A tank contains 100 gal of brine made by dissolving 80 lb of salt in water. Pure water runs into the tank at the rate of 4 gal/min, and the well-stirred mixture runs out at the same rate. Find the time required for half the salt to leave a tank. Select the correct response: 17.3 min. 19.1 min. 15.4 min. 21.2 min.

Q: A student with an estimated VO2max of 51 ml/kg/min wants to run 3 miles at 75% of VO2max. How long…

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

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Q: Estimate the measure of ZKLM to the nearest 10°. L. K M

A: Topic = Angles

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

A: Let x be the amount of 36% antifreeze to be drained and replaced with pure antifreeze.Then 16 - x is…

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: 16. The order reads NS 500 mL infuse at 52 mL/hr. What is the flow rate in microdrops per minute?

A: 16)  the order reads  NS 500ml infuse at 52ml/hr We have to find the flow rate  in microscope per…

Q: How much 15% solder must be added to 25% solder to produce 30.0 g of 18% solder? In a race, car 1…

A: For part 1 of question   let amount of solder be x so according to the statement  15% of x + 25% of…

Q: How much water should be added to 14ml of 10% alchohol solution to reduce the concentration to 7%?

A: let 'x' represent the amount of water, in ml, added, then the total volume of the solution becomes…

Q: (c) Bags are filled with bird food at a rate of 420 grams per second. How many 20 kg bags can be…

A: Given : Rate 420 gram per second               No of 20 kg bags filled in 4 hours =?

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: Prepare a 680 mg dose from a 1 g per 4 mL supply?

A: First we convert 1 g to mg  1 g= 1000 mg

Q: calculate the concentration of a solution in percentage by mass prepared by dissolving 10g of…

A: 10grams of solute is dissolved to get 11g of solution That means the solvent is 1 gram Therefore the…

Q: A robotic machine fills containers with an acid solution at the rate of 80 + 4t milliliters (mL) per…

A: Solution ) given function = 80 + 4t When t=0 or when no solution put into a container f(0) = 80 +…

Q: om the tank at a rate of r(t) = 115e liters per minute. How much oil le

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Q: A small metal bar, whose initial temperature was 20° C, is dropped into a large container of bowling…

A: Let T(t) be the temperature of the bar after t time Given that T(0)=200C T(1)=220 C

Q: How many grams of potassium sulfate (k2so4) must be added to make 200.ml of a 0.200 M potassium…

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

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Q: 800mL mL of a dextrose solution is to be infused at 45 mL/h starting at 1600 hours. At what time…

A: The problem can be solved by using the ratios. The rate of the infusion is given in ml/h. The rate…

Q: Calculate the flow rate for an IV of 500mL of normal saline to be infused in 4 hours. The drop…

A: To estimate the flow rate, convert the time in minutes, and then use the following formula. IV Flow…

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 pot contains 6 L of brine at a concentration of 120 g/L. How much of the water should be boiled…

A: Given, A pot contains 6 L of brine at a concentration of 120 g/L.

Q: A robotic machine fills containers with an acid solution at the rate of 90 + 6t milliliters (mL) per…

A:

Q: A chain lying on the ground is 10 m long and its mass is 60 kg. How much work (in J) is required to…

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Q: convert 1.) 200 lb/ft to N/m 2.) 350 lb/ft3 to kN/m3 3.) 8 ft/h to mm/s

A: 1) It is known that 1 lb/ft =14.5938 N/mSo, to convert 200 lb/ft to N/m, multiply 200 with 14.5938

Q: Find out the lycopene concentration in tomatoes after 4 months of storage at 15°C.

A: 4 months = 16 weeks to find lycopene concentration in tomatoes we need to find the regression line y…

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

A: let x= amount of water required We have to find the x value from the procedure.

Q: A large tank filled with 500 gallons of pure water. Brine containing 2 pounds of salt per gallon…

A: Let A(t) is pounds of salt in the tank at time t.We know that dAdt=Rin-Rout

Q: In 100 yrs, 132mg of radium decomposes to 96mg. How many mg will be left after 200 yrs?

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Q: with 2.60 moles of oxygen at 39.3 degrees Celcius?

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

A:

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

A: Part (a) - Weight of Boeing 747 = 175 tonsWe know that,1 ton = 32000 ouncesThen,175 ton = 175×32000…

Q: Find how much more energy was released by an earthquake of magnitude 6.9 than by an earthquake of…

A: Solution: use formula Log E = 11.8+1.45M

Q: A prescription calls for 0.3 g of phosphoric acid with a sp gr of 1.71. How many mL should be used…

A: Given- A prescription calls for 0.3 g of phosphoric acid with a sp gr of 1.71. To Find- The quantity…

Q: The usual dose of colchicine for an acute gout attack is 1/120 gr every hour for 8 doses. How many…

A:

Q: A deep-dish apple pie, whose internal tempera-ture was 220°F when removed from the oven, was set out…

A: Newton’s law of cooling:

Q: The volume of a cube is increasing at a rate of 56 in3/sec. At what rate is the length of each edge…

A: It is given that volume of cube V=x3 rate of volume increasing at dVdt=56 in3/sec The edge of the…

Q: The nurse is calculating a client's intake for a shift: 120 mL coffee; 240 mL juice; 240 mL broth,…

A: Given ,  The nurse is calculating a clients intake for a shift :  120 ml coffee , 240 ml juice , 240…

Q: You are asked to make a 1/3 dilution using 1.5 mL of serum. How much diluent do you need to use?

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Q: Into a 100 - gal tank initially filled with brine containing 50 lb of salt flow 3 gal/min of brine…

A: Into a 100-gal tank initially filled with brine containing 50 lb of salt flow 3 gal/min of brine…

Q: Given that the systolic blood pressure in the right arm is 90 mm Hg, the best systolic blood…

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Q: An IV medication of 245 mL is to infuse at the rate of 40 mL/hr. What is the total infusion time?…

A: Detailed explanation mentioned below

Q: How many 14-milliliter doses of liquid medication can be given from a vial containing 28 deciliters?

A:

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

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Q: one cup of flour is approximatly 120 grams. How many cups of flour can you get out of a bag of flour…

A: Given, one cup of flour is approximately 120 grams and a bag of flour weighting 2.4 kg.Converting…

Q: An 500mL of 5% solution is to infuse at 200mL per hour. What is the infusion time in minutes? Round…

A: 1 Hour= 60 minutes

Q: A truck with a mass of 1500 kg is decelerated at a rate of 5m/s2 . How much force did this require?

A:

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.

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

A: A brine solution 2lbsgal enters the tank at 2.25 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.