Ch.1 - Intro to General ChemistryWorksheetSee all chapters
All Chapters
Ch.1 - Intro to General Chemistry
Ch.2 - Atoms & Elements
Ch.3 - Chemical Reactions
BONUS: Lab Techniques and Procedures
BONUS: Mathematical Operations and Functions
Ch.4 - Chemical Quantities & Aqueous Reactions
Ch.5 - Gases
Ch.6 - Thermochemistry
Ch.7 - Quantum Mechanics
Ch.8 - Periodic Properties of the Elements
Ch.9 - Bonding & Molecular Structure
Ch.10 - Molecular Shapes & Valence Bond Theory
Ch.11 - Liquids, Solids & Intermolecular Forces
Ch.12 - Solutions
Ch.13 - Chemical Kinetics
Ch.14 - Chemical Equilibrium
Ch.15 - Acid and Base Equilibrium
Ch.16 - Aqueous Equilibrium
Ch. 17 - Chemical Thermodynamics
Ch.18 - Electrochemistry
Ch.19 - Nuclear Chemistry
Ch.20 - Organic Chemistry
Ch.22 - Chemistry of the Nonmetals
Ch.23 - Transition Metals and Coordination Compounds

Solution: The diameter of a silicon atom is 2.22 Å. As of 2014, semiconductor chips as small as 14 nm { m nm}were commercially available. How many silicon atoms lie along the edge of one of these chips? Assume

Solution: The diameter of a silicon atom is 2.22 Å. As of 2014, semiconductor chips as small as 14 nm { m nm}were commercially available. How many silicon atoms lie along the edge of one of these chips? Assume

Problem

The diameter of a silicon atom is 2.22 Å. As of 2014, semiconductor chips as small as 14 nm were commercially available. How many silicon atoms lie along the edge of one of these chips? Assume the semiconductor chip is a 2-dimensional square.

Solution

We have to calculate the number of silicon atoms that lie along the edge of a 14 nm silicon chip. Since the question asks us to assume that the chip is a two-dimensional square, we can consider the silicon atoms as circles. This could be roughly depicted by this diagram:


https://lh3.googleusercontent.com/sMYn2cxs265fQRJH_u-Ld_vg4KFocH6tIuYgKegdnjRtrMNLItqqkVuRlVYZuhSmgywC-EO36BJSpUgDD3gD3F7agG9_efbwEqZMKUGoLij5RiUroxzo0v380xzObhYjJauDH2Pd


We will solve this problem through these steps:

  • Convert the diameter of a silicon atom to m units.
  • Convert the length of the silicon chip to m units.
  • Find the number of atoms that lie along the edge of the square.


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