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.)

Q: there is a (20 louge tauk. it contains liters of water. Kennith decides to disolve 16 grams of salt…

A: A large tank contains 120 liters of water in which 16 grams of salt is dissolved. Brine containing…

Q: Solve F = MgH for M.

A:

Q: A tank contains 400 liters of fresh water. Brine containing 0.3 kg/L of salt runs into the tank at…

A: We need to find concentration.

Q: A tank originally contains 100 gal of fresh water. Then water containing lb of salt per gallon is…

A: Given: The tank originally contains 100 gal of fresh water. Water containing 12=0.5 lb of sat per…

Q: A motorboat traveling at full speed against a current goes 14 kph. Traveling at half speed with the…

A: In first question we will form the equation then solve this equation using the elimination method…

Q: A tank contains (400 L) of brine made by dissolving (20 kg) of salt in water. Salt water containing…

A: dVindt = 2 L/min       (Volume in rate)dVoutdt = 5 L/min    (Volume out rate)Therefore, Net  dVdt =…

Q: A tank contains 1000L of pure water. Brine that contains 0.05kg of salt per liter of water enters…

A: In this question we set up a initial value problem and then solve it

Q: A circular puddle is growing as syrup is poured onto the center of a large pancake. The height of…

A: Given that:Volume=V=314.159Height=h=4 Rate of change of volume=dVdt=20 The question is asking for…

Q: A swimming pool whose volume is 10,000 gal contains water that is 0.02% chlorine. Starting at t=0,…

A: Given that the volume of the pool is 10000 gal that is 0.02% chlorine. Initially , water containing…

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.