Answer: -
(a) 1.54 x 10² pm
(b) 1.3 x 10⁶ is the number of carbon atoms could be aligned side by side in a straight line across the width of 0.2 mm.
Explanation: -
1 å = 10² pm
Diameter of a carbon atom = 1.54 å = 1.54 x 10² pm
1 mm = 10⁹ pm
Total distance = 0.2 mm = 0.2 x 10⁹ pm
Number of carbon atoms could be aligned side by side in a straight line across the width = Total distance / Diameter of a carbon atom
= [tex] \frac{0.2 x 109 pm}{1.54 x 102 pm} [/tex]
= 1.3 x 10⁶
In a 0.2 mm width, 1.3 x 10⁶ carbon atoms could be aligned side by side in a straight line. The diameter of a carbon atom is 1.54 x 10² pm
An angstrom is a unit of measurement of the length which is equal to the [tex]\bold {10^{-10} \ m}[/tex].
1 [tex]\bold {\AA}[/tex] = 10² pm
Thus,
Diameter of a carbon atom = 1.54 [tex]\bold {\AA}[/tex] = 1.54 x 10² pm
B)
Since, 1 mm = 10⁹ pm
Thus,
Total distance = 0.2 mm = 0.2 x 10⁹ pm
So,
[tex]\bold {Number \ of \ Carbon \ atoms = \dfrac {0.2 x 10^9} {1.54 x 10^2}} \\\\\bold {Number \ of \ Carbon \ atoms = 1.3 x 10^6}[/tex]
Therefore, In a 0.2 mm width, 1.3 x 10⁶ carbon atoms could be aligned side by side in a straight line.
Learn more about Angstrom (Å):
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