A room with a volume of 5000 ft3 is full of air which contains 2% (CO). Pure air containing no (CO) is pumped into the room at the rate of 200 cubic feet per minute, and the well-mixed air is vented from the room at the same rate. a. Find the equation that models the amount of (CO), x(t), in ft3, which is in the room, as a function of time.  b. How long will it take for the concentration of (CO) in the room to reach 0.01%?

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

A:

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: The mess in a restaurant can be measured by M(t). Assume that M(O) = 0, the restaurant starts out…

A: Let's consider a differential equation as follows:If M(t)=F(t), then equation 1 will be satisfied.

Q: The equation 4(t) = 3500e042 gives the balance after t years of an initial investment of 3500…

A:

Q: A population shows growth that is proportional to the number of inhabitants existing at a given…

A: a)Since the population growth is proportional to the number of inhabitants existing at a given time,…

Q: e a saline solution, salt water with a concentration of 40 g/L is added at a rate of 500 L/min to a…

A: Given, saltwater with a concentration of 40 g/L is added at a rate of 500 L/min to a tank of water…

Q: battery. It was found that the time (t) is proportional to different powers of acceleration (a) ,…

A: Homogeneity Principle : Principle of Homogeneity states that dimensions of each of the terms of a…

Q: In a first order chemical reaction with no backorder reaction the concentration of the reactant is…

A: We solve for C(t)

Q: A country's production of solar power, in megawatts, can be modeled by f(t) = 340(1.2), where t is…

A: f(0): Solar power production in the year 2000. f'( 0): Rate of change in solar power production in…

Q: Solve the problem. An object of mass m is dropped from a helicopter. Assuming that air resistance is…

A: Topic = Differential equation

Q: 36. When a cold yam is put into a hot oven to bake, the tem- perature of the yam rises. The rate, R…

A: According to Newton's Law of Heating, the rate at which the temperature of the yam rises,  is…

Q: In an animal hospital, 8 units of a sulfate were injected into a dog. After 50 minutes, only 4 units…

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: If an amount P is invested in the Mandelbrot Bond Fund and interest is compounded continuously at…

A: (a) It is given that              dP/dt = 0.066P          => dP/P = 0.066dt     Integrating both…

Q: H.W1: A 150-L tank initially contains (30 L) of fresh water. At (t = 0), a brine solution containing…

A: Given Data: It is given that a 150 L tank initially contains 30 L fresh water. A brine solution with…

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.