Catalytic converters use nanoscale particles of precious metals such as platinum to change pollutants in carexhaust into less harmful gases. Calculate the following quantities for a spherical particle of platinum with a diameter of 5.0 nm. (a) Surface area in units of μ m 2 ( S A = 4 π r 2 ) (b) Volume in units of μ m 3 ( V = 4 3 π r 3 ) (c)Surface area to volume ratio in units of μ m − 1 (d)A 5.0 μ m diameterparticle has a surface area to volume ratioof 0.6 μ m − 1 . How many times larger is the surface area to volume ratio of the 5.0 nm particle than the 5.0 μ m particle?
Catalytic converters use nanoscale particles of precious metals such as platinum to change pollutants in carexhaust into less harmful gases. Calculate the following quantities for a spherical particle of platinum with a diameter of 5.0 nm. (a) Surface area in units of μ m 2 ( S A = 4 π r 2 ) (b) Volume in units of μ m 3 ( V = 4 3 π r 3 ) (c)Surface area to volume ratio in units of μ m − 1 (d)A 5.0 μ m diameterparticle has a surface area to volume ratioof 0.6 μ m − 1 . How many times larger is the surface area to volume ratio of the 5.0 nm particle than the 5.0 μ m particle?
Solution Summary: The author explains that nanotechnology is a field that studies the atoms and molecules on the nano-scale.
Catalytic converters use nanoscale particles of precious metals such as platinum to change pollutants in carexhaust into less harmful gases. Calculate the following quantities for a spherical particle of platinum with a diameter of 5.0 nm. (a) Surface area in units of
μ
m
2
(
S
A
=
4
π
r
2
)
(b) Volume in units of
μ
m
3
(
V
=
4
3
π
r
3
)
(c)Surface area to volume ratio in units of
μ
m
−
1
(d)A
5.0
μ
m
diameterparticle has a surface area to volume ratioof
0.6
μ
m
−
1
. How many times larger is the surface area to volume ratio of the 5.0 nm particle than the
5.0
μ
m
particle?
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