(a) Atoms are very small compared to objects on the macroscopic scale. The radius of a gold atom is 144 pm. What is this value in meters and in centimeters? 1.44e-10 m 1.446-8 cm (b) The mass of a single gold atom is 3.27x10-22 g. Suppose enough Au atoms were lined up like beads on a string to span a distance of 30.5 cm (12 inches). How many atoms would be required? What mass in grams of Au would be used? Could you weigh out this amount of gold using a typical laboratory balance? (e) Taking the density of gold metal to be 19.3 g/cm³, calculate the mass of metal needed to form a piece of Au wire with the same length as the distance in b, but with a diameter of 1.00 mm. Hint: The volume of a cylinder is n times its radius squared times its height. (V-nr² h) 9 How many gold atoms does this represent? 9 atoms atoms

Principles of Modern Chemistry
8th Edition
ISBN:9781305079113
Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Publisher:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Chapter1: The Atom In Modern Chemistry
Section: Chapter Questions
Problem 38AP: In a reproduction of the Millikan oil-drop experiment, a student obtains the following values for...
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Use the References to access important values if needed for this question.
(a) Atoms are very small compared to objects on the macroscopic scale. The radius of a gold atom is 144 pm. What is this value in meters and in
centimeters? 1.44e-10 m 1.446-8 cm
(b) The mass of a single gold atom is 3.27x10-22 g. Suppose enough Au atoms were lined up like beads on a string to span a distance of 30.5 cm
(12 inches). How many atoms would be required?
atoms
What mass in grams of Au would be used?
Could you weigh out this amount of gold using a typical laboratory balance?
(c) Taking the density of gold metal to be 19.3 g/cm³, calculate the mass of metal needed to form a piece of Au wire with the same length as the
distance in b, but with a diameter of 1.00 mm. Hint: The volume of a cylinder is n times its radius squared times its height. (V=nr² h)
9
How many gold atoms does this represent?
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9
atoms
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Transcribed Image Text:Use the References to access important values if needed for this question. (a) Atoms are very small compared to objects on the macroscopic scale. The radius of a gold atom is 144 pm. What is this value in meters and in centimeters? 1.44e-10 m 1.446-8 cm (b) The mass of a single gold atom is 3.27x10-22 g. Suppose enough Au atoms were lined up like beads on a string to span a distance of 30.5 cm (12 inches). How many atoms would be required? atoms What mass in grams of Au would be used? Could you weigh out this amount of gold using a typical laboratory balance? (c) Taking the density of gold metal to be 19.3 g/cm³, calculate the mass of metal needed to form a piece of Au wire with the same length as the distance in b, but with a diameter of 1.00 mm. Hint: The volume of a cylinder is n times its radius squared times its height. (V=nr² h) 9 How many gold atoms does this represent? Submit Answer Try Another Version 9 atoms 3 item attempts remaining
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