A tank contains 50 kg of salt and 2000 L of water. Pure water enters a tank at the rate 12 L/min. The solution is mixed and drains from the tank at the rate 6 L/min. What is the amount of salt in the tank initially? Find the amount of salt in the tank after 5 hours. Find the concentration of salt in the solution in the tank as time approaches infinity. (Assume your tank is large enough to hold all the solution.)

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A: The amount of salt remaining after 5 minutes is 45.24 lb. And the calculation is uploaded below

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A: Since you posted a question with multiple parts, we will solve the first three subparts for you. To…

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A:

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

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A: image is attached

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A: According to the given information,

Q: A tank contains 60 gallons of a solution composed of 85% water and 15% alcohol. A second solution…

A:

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A: Given capacity of tank =2000 L initial amount of water =1000 L rate of in flow of salt =50 L/min…

Q: A 100 L mixing tank initially contains 50 L of brine solution with 16 g/L concentration. Brine…

A: Let V be the volume of the tank. Thus, Vt=50+4+2-5t       =50tL where, t is the time in minutes.

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A:

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Q: A tank contains 60 gallons of a solution composed of 85% water and 15% alcohol. A second solution…

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A: Here we will solve salt present after 45 min,

Q: A tank contains 60 gallons of a solution composed of 85% water and 15% alcohol. A second solution…

A:

Q: A tank initially holds 80 gal of a brine solution containing - Ib of salt per gallon. At t = 0,…

A: "Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: A tank contains 50 gallons of a solution composed of 85% water and 15% alcohol. A second solution…

A: Consider the given information. Let y is the number of gallons of alcohol in the tank with rate of…

Q: A 500-gal tank initially contains 100 gal of brine containing 50 lb of salt. Brine containing 2 Ib…

A: Given:   Equation data is given

Q: A tank initially holds 80 gal of a brine solution containing - Ib of salt per gallon. At t = = 0,…

A: Since you posted a question with multiple parts, we will solve the first three subparts for you. To…

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 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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A: Consider, is the Rate of pure water is pumped into the tank is equal to 5 L/s. Formula used,

Q: A tank contains 60 gallons of a solution composed of 85% water and 15% alcohol. A second solution…

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A: Volume of the tank is 30 m3 The tank is full of brine with 40 kg of dissolved salt. Pure water…

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A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

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.