(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
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Chapter1: Chemical Foundations
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Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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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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