Suppose you have a 200-gallon tank full of fresh water. A drain is opened that removes 3 gal/sec from the tank and, at the same moment, a valve is opened that lets in a 1% solution (a 1% concentration) of chlorine at a slower rate of 2 gal/sec. A.) When is the tank half full and what is the concentration of the chlorine then? B.) If the drain is closed when the tank is half full and the tank is allowed to fill, what will be the final concentration of chlorine in the tank?

Q: A tank initially contains 200 liters of fresh water. Brine containing 2.5 N/liter of dissolved salt…

A:

Q: A park ranger is searching for bears in a region of the park where on average there are 12 bears per…

A: Introduction: It is given that there are 12 bears per square mile of the park. Further, the number…

Q: 1. A tank initially contains 50 gallons of pure water. At t=0, a brine solution containing 2 lb/gal…

A:

Q: 3a. A tank contains 100 liters of syrup with sugar concentration 20 g/liter. Syrup is pumped out of…

A:

Q: 4. A 5% dextrose solution (DSW) contains 5 mg of dextrose per 100 ml of solution, (a) How many…

A: Consider the given information.

Q: 3. Water drains out of a container in the shape of an inverted pyramid at the rate of 10 cm³ / min.…

A: Water drains out of a container in the shape of an inverted pyramid at the rate of 10 cm3/min. The…

Q: There are 200 gal of fresh water in a container (that is, there is no salt in the container…

A:

Q: 1. A tank initially holds 100 gallons of brine solution containing 20 lbs. of salt. At t = 0, fresh…

A: Solution...

Q: . A dolphin tank at Sea World is being filled. The tank has a volume of 50,000 liters. In order not…

A: As per norms, we will be answering the first three subparts. If you need an answer to others, then…

Q: ... A large tank contains 120 gallons of pure water. Brine containing 1.5 lbs. of salt per gallon of…

A: Given : 120 gallons of water . Brine concerntration is 1.5 lbs  Entering rate = 4 gal/ min and…

Q: If e'z = /3 -i.Then Im (z) is %3D O a. e2 b. 0 С. 1 d. -In(2)

A: eiz=3-i Now let z=x+iy. Then, ⇒eix+iy=3-i⇒eix+i2y=3-i⇒eix-y=3-i…

Q: A large, perfect cube of ice sits in the merciless Australian sun. It is melting. Each of its edges…

A: The volume of a cube of sides a units is given by; And the mass of the cube if the cube is made of…

Q: Z= xy 0 2 W AT = A-1 wh () 97 are xy.z? 2

A: The given matrix A=xy0z. We have to find the values of x, y, z where AT=A-1.

Q: Suppose that k = 0,2hr−1 and that the smallest effective concentration is 0.04mg/ml. A single dose…

A: Given

Q: 24. A 30-gallon tank initially contains 15 gallons of salt water containing 6 pounds of salt.…

A: Given that dN(t)dt= Flux of salt in - Flux of salt out The salt flux into the tank is always C_in *…

Q: 4. A 100 m³ room contains 5% of carbon monoxide. Clean air is pumped into the room at the rate of…

A:

Q: A chemical production plant makes a particular chemical that is produced by mixing equal amounts of…

A: GIven, Mixing Average flow rate = 20 litre/min First liquid flow rate = 14 litre/min second liquid…

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.