A tank is initially filled to its capacity with 250 liters of pure water. At t=0, the brine containing 2.0 g/L salt is pumped into the tank at a rate of 25 L/min. The well mixed solution is pumped out at a larger rate of 50L/min. Find the concentration of the salt inside the tank after 5 minutes.

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

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Q: Consider a tank with volume 100 liters containing a salt solution. Suppose a solution with 2…

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Q: A tank that can hold 500 gal. originally contains 200 gal. of water with 100 Ibs. of salt in…

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Q: A 1500 gallon tank initially contains 600 gallons of water with 5 lbs of salt dissolved in it. Water…

A: This question is related to differetial equations, we will solve it using given information.

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A: We have to find the  rate of change of length.

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A: We will find out the required time.

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Q: The volume of a cone of radius r and height h is given by V=1/3pir^2h. If the radius increases at a…

A: Volume of a cone = πr2h3 , Where r= radius of a cone and h= height of a conedrdt= 0.5cm/sec , dhdt=…

Q: A 50-gal tank initially contains 10 gal of fresh water. At t = 0, a brine solution containing 1…

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

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Q: A 200g-tank holds 100 gallons of fresh water upon first. At t = 0, a 5 gal/min salt solution…

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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…

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A: Given data: The cooler contains ice at 0°C, i.e. 273K The outside temperature is 30°C, i.e. 30+273K,…

Q: The lower base of a trapezoid is 8 m. If its height is increasing at the rate of 0.5m/sec while its…

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Q: A 50-gal tank initially contains 10 gal of fresh water. At t = 0, a brine solution containing 1lb of…

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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…

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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…

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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.

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A:

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.

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A: Given- drdt=8 in/sec and dhdt=-3 in/sec To Find- The rate of the volume changing when r= 7 in and…

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…

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

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Q: In 30 minutes, a thousand eight hundred tank of water empties from the bottom.The amount of water…

A: Proceed as shown below

Q: A tank contains 2000 liters (L) of a solution consisting of 182 kg of salt dissolved in water. Pure…

A:

Q: A tank contains 1000 liters (L) of a solution consisting of 195 kg of salt dissolved in water. Pure…

A: Solution is given below:

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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.