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Write the mass balance equation for an ideal 1D plug-flow stream under steady state conditions with a first-order decaying substance. Solve for the concentration as a function of the concentration x=0, the rate constant kd, longitudinal distance x, and mean velocity u. Assume the rate constant for BOD decay is 0.2 d^-1, the mean velocity of the stream is 0.5 m s^-1, and the initial concentration is 100 mg L^-1 at x=0. Plot the resulting concentration with downstream distance x in km.
use zero through forth order taylor series expansions to predict f(2.5) for f(x) = ln x using a base point at x=1. compute the true percent relative error for each approximation. discuss the meaning of the results.
A steel bar of length 30 inches and circular cross section whose diameter varies linearly from 0.50 inches at one end to 0.75 inches at the other is subjected to an axial tensile force of 4.5 kip. Find the change in length of the bar.
To float a 160 pound man using helium balloons (assume 0.52 cubic feet per inflated balloon). How many balloons would it take? Assume density of air is 1.29 kg/cubic meter and the density of helium is 0.179 kg/cubic meter.
Beginning whith the 1-D, steady state, general mass(volume) balance equation Qin-Qout=0 derive the 1-D poisson equation.
In addition to performing the cut-and-fill operations, the contractor needs to excavate the entire building footprint to a depth of 8 feet for a basement construction made of concrete masonry perimeter walls supported by 2'-0" X 0'-10" continuous ..
A sand sample has a porosity of 38% and specific gravity of solids of 2.66. Find the void ratio and wet unit weight in lb / ft3 if the degree of saturation is 35%.
If the rocket's decent parachute does not deploy and the rocket lands 340 ft from A, determine the angle (alpha) that vo forms with the vertical, the maximum height h reached by the rocket, and the duration of the flight.
Calculate the fraction of total atrazine that will be adsorbed to the soil given that the soil has an organic carbon content of 2.5%. The bulk density of the soil is 1.25 g/cm3; this means that each cubic centimeter of soil (soil plus water) conta..
For some minerals color is a diagnostic property making identification rather easy. However, certain minerals can also occur in a wide variety of colors making color a poor tool for identification. List different colors for the mineral quartz lo..
The buildings are single story with a rood line 6 feet above the man-door opening is constructed from clay brick that is 12 inches thick and weighs 115 psf. the opening of the man-doors are 3 feet 4 inches wide.
two steel spheres 100mm in diameter. Compute gravitational force and the force of mutual attraction F in newtons. the specific weight of steel is 0.284 lb/in^3
a force is specified by the vector F=160i+80j-120k N.calculate the angles made by F with the postive x y and z axes.
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