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(a) Atoms are very small compared to objects on the macroscopic scale. The radius of a aluminum atom is 143 pm. What is this value in meters and in centimeters? cm (b) The mass of a single aluminum atom is 4.48×10-23 g. Suppose enough Al atoms were lined up like beads on a string to span a distance of 37.7 cm (15 inches). How many atoms would be required? atoms What mass in grams of Al would be used? m g Could you weigh out this amount of aluminum using a typical laboratory balance? How many aluminum atoms does this represent? (c) Taking the density of aluminum metal to be 2.70 g/cm³, calculate the mass of metal needed to form a piece of Al 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 = n r² h) g V atoms

(a) Atoms are very small compared to objects on the macroscopic scale. The radius of a aluminum atom is 143 pm. What is this value in meters and in centimeters? cm (b) The mass of a single aluminum atom is 4.48×10-23 g. Suppose enough Al atoms were lined up like beads on a string to span a distance of 37.7 cm (15 inches). How many atoms would be required? atoms What mass in grams of Al would be used? m g Could you weigh out this amount of aluminum using a typical laboratory balance? How many aluminum atoms does this represent? (c) Taking the density of aluminum metal to be 2.70 g/cm³, calculate the mass of metal needed to form a piece of Al 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 = n r² h) g V atoms

Chemistry
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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(a) Atoms are very small compared to objects on the macroscopic scale. The radius of a aluminum atom is 143 pm. What is this value in meters and in centimeters? m cm (b) The mass of a single aluminum atom is 4.48×10-23 g. Suppose enough Al atoms were lined up like beads on a string to span a distance of 37.7 cm (15 inches). How many atoms would be required? atoms What mass in grams of Al would be used? g Could you weigh out this amount of aluminum using a typical laboratory balance? (c) Taking the density of aluminum metal to be 2.70 g/cm³, calculate the mass of metal needed to form a piece of Al 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 = n r² h) How many aluminum atoms does this represent? g atoms
Transcribed Image Text:(a) Atoms are very small compared to objects on the macroscopic scale. The radius of a aluminum atom is 143 pm. What is this value in meters and in centimeters? m cm (b) The mass of a single aluminum atom is 4.48×10-23 g. Suppose enough Al atoms were lined up like beads on a string to span a distance of 37.7 cm (15 inches). How many atoms would be required? atoms What mass in grams of Al would be used? g Could you weigh out this amount of aluminum using a typical laboratory balance? (c) Taking the density of aluminum metal to be 2.70 g/cm³, calculate the mass of metal needed to form a piece of Al 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 = n r² h) How many aluminum atoms does this represent? g atoms
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