What is the ratio of the number of atoms in the human body (~7 x 1027) to the number of seconds since the Big Bang (13.7 billion years ago) ? 1) 6.2 x 10-11 2)1.62 x 1010 3) 3 x 103 4) 1 5) 5.4 x 105 Atomic description of matter Atomic description of matter AFM Measurements 40 µm 10 µm 3.0418 Gold Atoms in New AFM Measurements nm nm nm nm nm Park Systems Corporation Website: http://www.parkafm.com/AFM_guide/true_non_contact_mode_2.php Idealized atomic description of matter Idealized atomic description of matter The mass of one atom is m (kg/atom). The density of solid copper is ρ (kg/m3). What is the volume occupied by one atom of copper in a solid? 1) m•ρ 2) m/ρ 3) ρ/m 4) m•(ρ3) How does the diameter of one atom in a solid compare to the length of an interatomic bond in our atomic model ? 1) The bond length is greater than the atomic diameter 2) The bond length is less than the atomic diameter 3) They are the same Atomic model of copper wire Atomic model of copper wire Clicker Quiz Given that for lead, its AW= 207.2, i.e. one mole has a mass of 207.2 grams, and the diameter of lead atom is d=3.0x10-8 cm, what would our atomic model of matter predict is the density of solid lead? 1) 12.7 g/cm3 2) 3.0 g/cm3 3) 7.3 g/cm3 4) 22 g/cm3 5) 1.2 g/cm3 Lead (Pb) is much softer than copper (Cu), and can be more easily deformed or pulled into a wire. What difference between the two materials best explains this? 1) Pb and Cu atoms have different sizes. 2) Pb and Cu atoms have different masses 3) The stiffness of the interatomic bonds is different in Pb and Cu Atomic model of copper wire Atomic model of copper wire nseries n Atomic model of copper wire Interatomic Bond Stiffness in Copper A copper wire is 2 meters long. The wire has a square cross-section (that is, it has four flat sides—it is not round). Each side of the wire is 1 mm in width. Making sure the wire is straight, you hang a 10 kg mass on the end of the wire. Careful measurement shows that the wire is now 1.51 mm longer. From these measurements, determine the stiffness of one interatomic bond in copper. nseries n Clicker Quiz You hang a 10 kg mass from a copper wire with a square cross-section and the wire stretches by 8 mm. Now you hang the same mass from a second copper wire with the same length but with sides half as long. How much does the second wire stretch? 1) 4 mm 2) 8 mm 3) 16mm 4) 24 mm 5) 32 mm