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?
Draw the product of the reaction
shown below. Ignore inorganic
byproducts.
H
conc. HBr
Drawing
Q
Calculate the atomic packing factor of diamond knowing that the number of Si atoms per cm3 is 2.66·1022 and that the atomic radii of silicon and oxygen are, respectively, 0.038 and 0.117 nm.
A pdf file of your hand drawn, stepwise mechanisms for the reactions.
For each reaction in the assignment, you must write each mechanism
three times (there are 10 reactions, so 30 mechanisms). (A) do the work
on a tablet and save as a pdf., it is expected to write each mechanism
out and NOT copy and paste the mechanism after writing it just once.
Everything should be drawn out stepwise and every bond that is formed
and broken in the process of the reaction, and is expected to see all
relevant lone pair electrons and curved arrows.
Aldol:
NaOH
HO
H
Δ
NaOH
Δ
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