A tank is filled with 200 l of salt solution containing Qo kg of salt at time t = 0. Another salt solution with 1/4 kg of salt per liter flows into the tank at a rate of 6 lt / min. By mixing, a homogeneous water-salt mixture is obtained continuously in the tank and the mixture leaves the tank at the same speed. Find the expression Q (t) which gives the amount of salt present in the tank at time t.

Q: Suppose that a room containing 1300 cubic feet of air is originally free of carbon monoxide (CO).…

A:

Q: Suppose a tank initially contains 10 pounds of dissolved salt in 100 Gallons of water. At time t =…

A: Lets say amount of salt in the tank at time 't' be Q pounds. Now Rate of change of amount of salt in…

Q: Initially a tank holds 100 gal of a brine solution containing 4 lb of salt. At t = 0, brine…

A: Solution :-

Q: When a vertical beam of light passes through a transparent medium, the reason that its intensity I…

A: We have to find What is the beam intensity at 15 feet below the surface.

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: Suppose the volume of water, Vm³, in a container satisfies the equation V = x³e-x², where xm is the…

A:

Q: If two gases have molar masses M1 and M2, Graham's law states that the ratio R of their rates of…

A:

Q: At t=0, a 600 liter tank initially contains 50 grams of salt dissolved in 300 liters of water. Then,…

A:

Q: The pressure, volume and temperature of a mole of ideal gas are related to the equation PV = 8.3T,…

A:

Q: Suppose an object is moving along a line such that the acceleration after t seconds is 6t -8t…

A:

Q: An 80-kg skydiver jumps out of an airplane (with zero initial velocity). Assume that k = 12 kg/s…

A: The skydiver's velocity is governed by the differential equation: And the solution to this equation…

Q: A drug administered to a patient produces a concentration in the blood stream given -t/3. by…

A: We will use following procedure to solve this question  For relative maximum or minimum To…

Q: Suppose that the acceleration of a vehicle at time t (in s) is given by a(t) = 2t+ 1 (mph/s).If the…

A:

Q: A 500-gallon tank contains a 0.5 lb/gal salt solution with a volume of 200 gal. Then the tank is fed…

A:

Q: The kinetic energy of an object with mass m and velocity v is given by: k= If a ball weighing 2kg is…

A:

Q: The potential difference (V) across a capacitor that is discharging changes with time (t) according…

A: Sure, here is the graph: Be sure to check the data in the chart to make sure I got it right.

Q: A boat travels 100 miles upstream against a 10 mile/hour current. When the boat's velocity is v…

A:

Q: Under certain conditions, cane sugar with water is converted into dextrose at a rate which is…

A: We need to find out the amount converted un 1.5 hours. in grams,

Q: A water storage container starts leaking at time t = 0 minutes. The water leaks out from the…

A: The water leaking as a function of time is given ft=10e-0.1t If leakage starts at t =0 Then in water…

Q: A 100 gallon tank initially contains 10 gallons of fresh water. At t = 0 a brine solution containing…

A:

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.