Dumping and other material-handling operations near a landfill may result in con

Question

Dumping and other material-handling operations near a landfill may result in contaminated particles being emitted into the surrounding air. To estimate such particulate emission, the following empirical formula can be used:

E(V,M)=k(0.0033)(V/5)^1.5(M/2)^-1.5

where E is the emission factor (in pounds of particles released into the air per ton of soil moved), V is the mean speed of the wind (mph), M is the moisture content of the material (given as a percentage), and k is a constant that depends on the size of the particles.

The emission factor E can be multiplied by the number of tons of material handled to obtain a measure of total emissions. Suppose 29 tons of the material in part (a) is handled. How many tons of a second kind of material with k=0.19 and moisture content 17% must be handled to achieve the same level of total emissions if the wind velocity stays the same?

tons:

E(9,1

Explanation / Answer

Part A

We have k=0.25

E(9,16)=0.25*.0033*(1.8^1.5)(8^(-1.5)) =8.804 *10^-5

Part B

(29)(0.25)(0.0033)(1.8^1.5)(8^(-1.5)) = (T)(0.19)(0.0033)(1.8^1.5)(8.5^(-1.5))

On Solving

T = 41.79 tonnes

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