A patient's blood is traveling at a rate of 16 mL/sec while conveying a medicine into the liver and leaves in a similar rate. The liver can occupy liquid volume of 204 mL. The medicine concentration in the blood entering the liver is 0.5 g/mL,  When will the concentration of the medicine in the liver reach 0.4 g/mL?

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: 1200ml of IV fluid must be administered to the patient over an 8 hour period, if the calibration…

A:

Q: A 40 gal tank initially contains 11 gal of fresh water. At t = 0, a brine solution containing 1.2 lb…

A: Given: The initial volume of water v(0)=11 gallons The initial amount of salt s(0)=1.2 lb Since rate…

Q: A submarine started at the surface of the ocean and began diving -15 kilometers per minute towards…

A: Given: Diving speed of submarine, s = 15 km/min, and time of diving, t = 48 min

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A: Given that the capacity of the tank is 5000 kg. Let Q be the quantity of water in the tank after t…

Q: The volume of a cube is increasing at the rate of 21 cc/min. At what rate is its surface area…

A: The volume of a cube is increasing at rate, dVdt = 21 cc/min To evaluate: The rate at which the…

Q: In order to stay awake during class, a professor keeps a 200 ounce capacity coffee maker in his…

A: Given coffee maker capacity is 200 ounces. it contains 40 ounces coffee which has 500 mg caffeine.…

Q: A 400-gal tank initially contains 100 gal of brine containing 50 lb of salt. Brine containing 1 lb…

A: Schematic diagram of the given situation:…

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 tank contains 2,000 L of brine. Brine containing 5 kg/L of salt flows in at 10 L/min, and the…

A:

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

A: Let s be the side of the cube in meter and V be the volume of the cube and t be the time in…

Q: A tank has 72 gallons of water. Brine solution with 2lbs of salt per gallon of solution enters at a…

A: here we can use differential equation to solve this question.

Q: . A 100 gallon tank is filled with brine containing 60 pounds of dissolved salt. Water runs into the…

A: As this is a multiple question according to the Bartleby Answering rule, only first question is to…

Q: 1000 liters of water per second is filled into the square prism-shaped tank with a base edge of 10…

A: We have to find the relating equation of volume with height and then differentiate it with respect…

Q: A tank with a capacity of 400 gal originally contains 150 gal of water with 25 lb of salt in…

A:

Q: A capacitor has two parallel metal plates measuring 0.45 m² each. The distance between the plates is…

A: Given:-Area of plates=0.45 m2distance between plate, d=1 cm=10-2mthickness of permittivity ,…

Q: A tank with capacity of 2000 litre originally contains 50 kg of sugar dissolved in pure water. Pure…

A: The initial amount of the sugar in the water is x (0) = 50 kg   The pure water is entering into the…

Q: A tank contains 200 liters of fluid in which 30 grams of salt is dissolved. Brine containing 2 grams…

A: A tank contains 200 liters of fluid with 30 gm salt is dissolved.2 gm of salt per liter is pumped…

Q: Assume that a snowball melts so that its volume decreases at a rate proportional to its surface…

A: Let V denote the volume and A denote surface area. Rate of melting is proportional to its surface…

Q: A tank contains 80 gallons of pure water. A brine solution with 2lb/gal of salt enters at 2 gal/min,…

A: Given: r1=2 galsmin., r2=2 galsmin.,  c1=2 lbsgal,, v0=80 gallons, x0=0

Q: A 450 gal tank initially contains 110 gal of brine containing 52 Ib of salt. Brine containing 1lb of…

A:

Q: The volume of a cube is increasing at a rate of 9 cubic centimeters per second .How fast is the…

A: Solution:-

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: When the lid is left off an ink bottle, the ink evaporates at a rate of 2.5 x 20 "cm" bottle…

A: Given that: Rate at which ink evaporates=2.5×10-6cm3s and Total volume of ink in the bottle is 36…

Q: A 100-gallon tank contains 50 gallons of water. Brine, containing 2 Ibs of salt per gallon, flows…

A: Given the data

Q: A tank contains 100 L of water. A salt solution containing 2 kg of salt per liter flow in at the…

A:

Q: A 5-kg bucket is lifted from the ground into the air by pulling in 20 m of rope at a constant speed…

A:

Q: A 2 lbs of salt was dissolved completely into 100 gallons of pure water. After an hour, a brine…

A: AS PER BARTLEBY GUIDELINES, EXPERTS ARE ALLOWED TO SOLVE ONLY ONE QUESTION WHEN MULTIPLE QUESTIONS…

Q: A 100 gallon tank is filled with brine containing 60 pounds of dissolved salt. Water runs into the…

A: Form the differential equation of first order and solve to get the answer.

Q: A 300 gallon tank initially contains 90 gallons of brine containing 400 Ibs. of salt. Brine…

A: Given the tank contains 90 gallons of brine containing 400 lbs of salt.  The above figure shows the…

Q: A 100-gallon tank contains 5O gallons of water. Brine, containing 2 Ibs of salt per gallon, flows…

A: Ans =38

Q: The side of a cube is increasing at a rate 9m/s, then the rate at which the volume of the cube…

A: The function f(t) is a rule that associates or fixes a number to the particular point t. The…

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

A:

Q: A tank contains 400L of fresh water. By mistake, 100kg of salt is poured into the tank instead of…

A:

Q: What is the flushing time in days for an estuary that has a volume of 6x10^9 m^3 and discharge of…

A: Dividing the volume by discharge rate, answer is obtained

Q: A 400-gal tank initially contains 100 gal of brine containing 75 lb of salt. Brine containing 2 Ib…

A: The solution of above question is written below.

Q: A 90 kg man lying on a surface of negligible friction shoves a 81 g stone away from himself, giving…

A: Explanation of the answer is as follows

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 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: The surface area of a balloon that is being filled with helium increases at a rate of 5 square feet…

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: A worker on a scaffolding 85 feet above the ground needs to lift a 115 pound bucket of cement from…

A:

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: A stream containing 80 grams per liter of a dye is pumped into a mixing tank with 400 liters of…

A: The answer is 32kg

Q: A process tank is being filled at a rate of 1200 GPM. If the tank is completely full, how much is…

A: In flow rate is 1200 GPM. Out flow rate is 320 GPM.

Q: An automobile weighing 4500 lb is driven down a 5° incline at a speed o 60 mi/h when the brakes are…

A:

Q: The side of a square sheet is increasing at rate of 4 cm per minute ,At what rate is the area…

A:

Q: Water flows at the rate of 2000 cubic cm per second into a vertical cylindrical tank 120 cm in…

A: Let height of cylindrical tank is "h". Diameter is 120 cm. So, Radius would be r=1202=60 cm Volume…