The water temperature T in a tank takes 20 minutes to decrease from 100°C to 60°C. The temperature of the surrounding air is kept constant at To = 23°C. a) Assuming that the rate of temperature decrease is proportional to the difference of current water temperature and constant air temperature, find the differential equation describing water temperature as a function of time. b) Solve the differential equation subject to the initial condition. c) Find the coefficient of proportionality and relaxation time of temperature.

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: We found that salt is added to the tank at a constant rate and it is removed from the tank at a rate…

A: There is no such introduction for the solution.I have explained it within the solution.Please go…

Q: Write down the equation of motion for the point particle of mass m moving in the Kepler potential…

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: Suppose that a room containing 1000 cubic feet of air is originally free of carbon monoxide (CO).…

A: Given Information:The room contains 1000 cubic feet of carbon monoxide. Initially, cigarette smoke…

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: ton's law of cooling states that the rate of change in the temperature T(t) of a body is…

A: Newton's law of cooling states that the rate of change in the temperature​ T(t) of a body is…

Q: A force of 660 newtons stretches a spring 3 meters. A mass of 55 kilograms is attached to the end of…

A:

Q: In a natural habitat, the population of a certain species of snails is given by P= 0.8(Ae* +500),…

A: