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(a) Atoms are very small compared to objects on the macroscopic scale. The radius of a vanadium atom is 131 pm. What is this value in meters and in centimeters? cm (b) The mass of a single vanadium atom is 8.46×10-23 g. Suppose enough V atoms were lined up like beads on a string to span a distance of 44.7 cm ( 18 atoms inches). How many atoms would be required? What mass in grams of V would be used? Could you weigh out this amount of vanadium using a typical laboratory balance? (c) Taking the density of vanadium metal to be 6.08 g/cm³, calculate the mass of metal needed to form a piece of V 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 T times its radius squared times its height. (V = T r² h) How many vanadium atoms does this represent? atoms

(a) Atoms are very small compared to objects on the macroscopic scale. The radius of a vanadium atom is 131 pm. What is this value in meters and in centimeters? cm (b) The mass of a single vanadium atom is 8.46×10-23 g. Suppose enough V atoms were lined up like beads on a string to span a distance of 44.7 cm ( 18 atoms inches). How many atoms would be required? What mass in grams of V would be used? Could you weigh out this amount of vanadium using a typical laboratory balance? (c) Taking the density of vanadium metal to be 6.08 g/cm³, calculate the mass of metal needed to form a piece of V 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 T times its radius squared times its height. (V = T r² h) How many vanadium atoms does this represent? atoms

Chemistry: The Molecular Science
Chemistry: The Molecular Science
5th Edition
ISBN:9781285199047
Author:John W. Moore, Conrad L. Stanitski
Publisher:John W. Moore, Conrad L. Stanitski
Chapter2: Chemical Compounds
Section: Chapter Questions
Problem 130QRT: The element bromine is Br2, so the mass of a Br2 molecule is the sum of the mass of its two atoms....
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(a) Atoms are very small compared to objects on the macroscopic scale. The radius of a vanadium atom is 131 pm. What is this value in meters and in centimeters? cm (b) The mass of a single vanadium atom is 8.46×10-23 g. Suppose enough V atoms were lined up like beads on a string to span a distance of 44.7 cm ( 18 atoms inches). How many atoms would be required? What mass in grams of V would be used? Could you weigh out this amount of vanadium using a typical laboratory balance? (c) Taking the density of vanadium metal to be 6.08 g/cm³, calculate the mass of metal needed to form a piece of V 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 T times its radius squared times its height. (V = T r² h) How many vanadium atoms does this represent? atoms
Transcribed Image Text:(a) Atoms are very small compared to objects on the macroscopic scale. The radius of a vanadium atom is 131 pm. What is this value in meters and in centimeters? cm (b) The mass of a single vanadium atom is 8.46×10-23 g. Suppose enough V atoms were lined up like beads on a string to span a distance of 44.7 cm ( 18 atoms inches). How many atoms would be required? What mass in grams of V would be used? Could you weigh out this amount of vanadium using a typical laboratory balance? (c) Taking the density of vanadium metal to be 6.08 g/cm³, calculate the mass of metal needed to form a piece of V 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 T times its radius squared times its height. (V = T r² h) How many vanadium atoms does this represent? atoms
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