The Beer-Lambert Law. A beam of light enters a medium such as water or smoky air with initial intensity I 0 . Its intensity is decreased depending on the thickness (or concentration) of the medium. The intensity I at a depth (or concentration) of x units is given by I = I 0 e − μ x . The constant μ (“mu”), called the coefficient of absorption, varies with the medium. Use this law for Exercises 62 and 63. Light through smog. Concentrations of particulates in the air due to pollution reduce sunlight. In a smoggy area, μ = 0.01 and x is the concentration of particulates measured in micrograms per cubic meter ( mcg/m 3 ) . What change is more significant – dropping pollution levels from 100 mcg/m 3 to 90 mcg/m 3 or dropping them from 60 mcg/m 3 to 50 mcg/m 3 ? Why?
The Beer-Lambert Law. A beam of light enters a medium such as water or smoky air with initial intensity I 0 . Its intensity is decreased depending on the thickness (or concentration) of the medium. The intensity I at a depth (or concentration) of x units is given by I = I 0 e − μ x . The constant μ (“mu”), called the coefficient of absorption, varies with the medium. Use this law for Exercises 62 and 63. Light through smog. Concentrations of particulates in the air due to pollution reduce sunlight. In a smoggy area, μ = 0.01 and x is the concentration of particulates measured in micrograms per cubic meter ( mcg/m 3 ) . What change is more significant – dropping pollution levels from 100 mcg/m 3 to 90 mcg/m 3 or dropping them from 60 mcg/m 3 to 50 mcg/m 3 ? Why?
Solution Summary: The author calculates the more significant change when pollution levels drop from 100mcg/m
The Beer-Lambert Law. A beam of light enters a medium such as water or smoky air with initial intensity
I
0
. Its intensity is decreased depending on the thickness (or concentration) of the medium. The intensity I at a depth (or concentration) of x units is given by
I
=
I
0
e
−
μ
x
.
The constant
μ
(“mu”), called the coefficient of absorption, varies with the medium. Use this law for Exercises 62 and 63.
Light through smog. Concentrations of particulates in the air due to pollution reduce sunlight. In a smoggy area,
μ
=
0.01
and x is the concentration of particulates measured in micrograms per cubic meter
(
mcg/m
3
)
. What change is more significant – dropping pollution levels from
100
mcg/m
3
to
90
mcg/m
3
or dropping them from 60
mcg/m
3
to 50
mcg/m
3
? Why?
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