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?
(a) Carbon monoxide (CO) is a poisonous gas because it binds very strongly to the oxygen carrier hemoglobin in blood. A concentration of 8.00 × 102 ppm by volume of carbon monoxide is considered lethal to humans. Calculate the volume in liters occupied by carbon monoxide in a room that measures 17.6 m long, 8.80 m wide, and 2.64 m high at this concentration.(b) Prolonged exposure to mercury (Hg) vapor can cause neurological disorders and respiratory problems. For safe air quality control, the concentration of mercury vapor must be under 0.050 mg/m3 . Convert this number to g/L. (c) The general test for type II diabetes is that the blood sugar (glucose) level should be below 120 mg per deciliter (mg/dL). Convert this number to micrograms per milliliter (μg/mL).
Use the meaning of the prefix "nano-" to select the value of "x" in this equation:
1 m = 1 x 10x nm . The value of " x " is
(a) +9 (b) -6 (c) +6 (d) -9
Methanol (CH3OH) is a liquid at room temperature with a density of 7.91 x102 kg/m3.
In a certain experiment, from the reaction of 2.91 mL of methanol with 2.88 g of oxygen, 2.27 g
of carbon dioxide was obtained.
(а)
(b)
What type(s) of chemical reaction is (are) occurring in this experiment?
What equipment do you think was used to measure the volume of methanol in this
experiment?
Calculate the percent yield of the carbon dioxide in this experiment.
(c)
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