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Your boss asked to analyze a system that initially contains 3,000 gallons of water that is contaminated with 53 lbs of arsenic. He wants you to reduce the concentration of the arsenic down to 10 mg/L, which is the standard that the US Environmental Protection requires for your company to be able to bottle and sell the water. You have a 1 hp pump that will allow you to move 17 gallons/minute of water into the well-mixed tank with the contaminated water. Unfortunately, the water you have coming in contains 3.5 mg/L of arsenic. An overflow valve releases water to a discharge at the same flowrate as the inlet to the tank.

Mohammed asked you to:

a) Identify the total amount of water you will have to pass through the tank to reach the standard in the tank using your pump, in gallons.

b) How long will it take to reach the final concentration before you can start to bottle and sell the water, in hours?

c) Predict what the concentration of arsenic is in the tank as a function of time, in mg/L.

initially a large tank with a capacity of 300 gallons contains
150 gallons of clean water. A solution of salt with a concentration
of 2 lb / gal flows into the tank at a rate of 50 gal / min. The
solution is perfectly well mixed while the solution is extracted at
a rate of 25 gal / min. Find:
a) the amount of salt in the tank at the time it is filled (in
pounds)
b) the speed at...

A) A 50 gallon tank initially contains 10 gallons of fresh
water. At t = 0 t = 0 a brine solution containing 1 pound of salt
per gallon is poured into the tank at the rate of 4 gal/min., while
the well-stirred mixture leaves the tank at the rate of 1 gal/min.
Find the amount of salt in the tank at the moment of overflow.
B) A tank contains 100100 g of salt and 400400 L of water. Water...

A 100 gallon tank initially contains 10 gallons of fresh water.
At t=0 a brine solution containing 1 pound of salt per gallon is
poured into the tank at the rate of 4 gal/min., while the
well-stirred mixture leaves the tank at the rate of 2 gal/min. Find
the amount of salt in the tank at the moment of overflow.
Enter answer as numerical decimal correct to two decimal places.
pounds.

You work for a brokerage firm. Your boss asked you to analyze
Eagle Manufacturing's performance for the past five years and to
write a report that includes the benchmarking of the company’s
performance.
(a.) What components would be best for you to include in tour
financial statement analysis? Explain your answer.
(b.) Identify and explain several weaknesses or limitations of
ratio analysis.
(c.) Define and explain how the following four ratios are used
to examine the different aspects of a...

A system initially contains 2 lb of liquid water at 110ºF and
0.4 lb of ice at 32 ºF. The system attains an equilibrium state,
while pressure remains constant at 1 atm. For water, the specific
enthalpy change for a phase change from solid to liquid at 1 atm is
144 Btu/lb. If heat transfer with the surroundings is negligible,
determine
(a) the final temperature, in ºF
(b) the amount of entropy produced in the
process, in Btu/ºR.

A tank contains 365 gallons of water and 50 oz of
salt. Water containing a salt concentration of
1/6(1 + 1/4 sin t)
oz/gal flows into the tank at a rate of 8 gal/min, and the mixture
in the tank flows out at the same rate.
The long-term behavior of the solution is an oscillation about a
certain constant level.
a) What is this level?
b) What is the amplitude of the oscillation?

A tank contains 360 gallons of water and 50 oz of salt. Water
containing a salt concentration of 1 6 (1 + 1 4 sin t) oz/gal flows
into the tank at a rate of 8 gal/min, and the mixture in the tank
flows out at the same rate. The long-term behavior of the solution
is an oscillation about a certain constant level. a) What is this
level? b) What is the amplitude of the oscillation? (Round your
answers to...

A vat of volume 1100 gallons initially contains 4 lbs of salt.
For t > 0 a salt brine of concentration 0.15 lbs per gallon is
pumped into the vat at the rate of 5 gallons per minute; the
perfectly stirred mixture is pumped out at the same flow rate.
Derive a formula for the concentration of salt in the tank at any
time t.

A tank initially contains 300 gallons of a salt solution made by
dissolving 30 pounds of salt in water. A solution containing 0.6
pounds of salt per gallon enters the tank at a rate of 5 gallons
per minute. A drain is opened at the bottom of the tank through
which the well stirred solution leaves the tank at the same rate of
5 gallons per minute. Let y(t) denote the amount of salt (in
pounds) which is in the...

A tank contains 10 gallons of water. Salt water containing a
concentration of 4t ounces per gallon flows into the tank at a rate
of 4 gallons per minute and the mixture in the tank flows out at
the same rate.
(a)Construct the mathematical model for this flow process
(b)Use integrating factors to solve for Q(t).
(c)If the tank contains Q0 amount of salt at time t = 0, use this
as an initial condition to solve for the constant...

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