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Using estimates of rainfall, evaporation, and water consumption, the town engineer developed the following model of the water volume in the reservoir as a function of time
V(t) = 109 + 108(1 - e-t/100) - rt
where V is the water volume in liters, t is time in days, and r is the town's consumption rate in liters per day. Write two user-defined functions. The first function should define the function V(t) for use with the fzero function. The second function should use fzero to compute how long it will take for the water volume to decrease to x percent of its initial value of 109 L. The inputs to the second function should be x and r. Test your functions for the case where x = 50 percent and r = 107 L/day.
A tank with a volume of 5,000 gal contains salt solution at an initial concentration (C0*) of 70,000 mg/L, but the concentration in the tank (C) needs to be reduced to 500 mg/L. Two approaches are being considered
The concentration of cadmium ion (Cd^+2) in water is 225 mg/L. Will a precipiate be consumed or produced at pH 9.0? Will a precipitate be consumed or produced at pH 7.5
Assume a time to peak of 15 minutes and the unit peak discharge is 7.0 cfs/in, using the Gamma Function Unit Hydrograph what is the unit discharge at 20 minutes
Measurements indicate that to cause this flow the force acting on the contents of the control volume is 40i lb. Determine the net rate of flow of linear momentum through the control surface.
A 2-inch diameter glass pipe is connected to a pipe network in which the pressure is 70 psig. If the length is 300 ft and the outlet is 10 ft above the pipe, determine the flow rate.
The ½ inch pipe was found to have an average friction factor of 0.0129 and the ¾ pipe had an average friction factor of 0.0209. The length of the pipes between the two manometer connections are 60 inches each.
A major relining of the combustion vessel will occur during the fifth year at a cost of $30,000. If the interest rate is 15% per year, what is the lump-sum equivalent cost of this project at the present time
An insulated system contains two solid blocks in contact with each other; one hot and the other cold. After heat transfer over some time, thermal equilibrium is established in the container.
A weight W somewhere between 1 to 10 tons is randomly placed along a beam of 10m long span. Let X denote the distance from the point of applicatoin of the load to the nearest support.
The flow out of a reservoir is 2 L/s. The reservoir surface is 5 m x 5 m. How fast is the reservoir surface dropping?
A Silane contains 90.31 % silicon and 9.69 % hydrogen by mass. The compound has a molar mass of 62 g/mol. Determine the compound's empirical and molecular formula.
If the average length of a vehicle is 15 ft and the average space between consecutive vehicles waiting to be served is 3 ft, what is the minimum length for the off-ramp to provide storage for all exiting vehicles 80 percent of the time
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