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?
<
10:44
5GW 10
Question 7/8
Show Answer
Convert 46.0 mm to inches (1 inch = 2.54 cm)
46.0
DAM
STARTING AMOUNT
1 cm
1 in
46.0 mm x
☑
10 mm
10 cm
ADD FACTOR
DELETE
x()
X
×
= 1.81 in
=
1
10
Dam
ANSWER
RESET
១
2.54
0.0460
mm
10
1000
in
0.001
11.7
m
4.60
18.1
cm
100
1.81
0.394
1
0.1
46.0
0.01
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<
10:44
Question 6/8
5GW (10
Submit
A cake recipe calls for 230.0 mL of buttermilk. How
230.0
many cups is this?
DAL
STARTING AMOUNT
×
1 cups
230.0 mL x
= 0.9722 cups
230.0 mL
ADD FACTOR
DELETE
(( )
=
1
cups
230.0
DAE
ANSWER
RESET
១
9.722 × 105
0.8706
cups
8.706 × 104
1
L
8.706 × 105
0.9722
quart
10
100
mL
0.001
0.1
6.076 × 103
0.01
9.722 × 104
230.0
0.06076
4
1.0567
1000
6.076 × 104
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<
10:44
Question 6/8
5GW (10
Submit
A cake recipe calls for 230.0 mL of buttermilk. How
230.0
many cups is this?
DAL
STARTING AMOUNT
×
1 cups
230.0 mL x
= 0.9722 cups
230.0 mL
ADD FACTOR
DELETE
(( )
=
1
cups
230.0
DAE
ANSWER
RESET
១
9.722 × 105
0.8706
cups
8.706 × 104
1
L
8.706 × 105
0.9722
quart
10
100
mL
0.001
0.1
6.076 × 103
0.01
9.722 × 104
230.0
0.06076
4
1.0567
1000
6.076 × 104
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