Assessment 1: Bonding 1. How many grams are there in one amu of a material? (5 pts) a. b. c. d. 2.25 x 10^-24 g/amu 1.49 x 10^-25 g/amn 1.66 x 10^-24 g/amu 1.89 x 10^-26 g/amu In order to determine the number of grams in one amu of material, appropriate manipulation of the amu/atom, g/mol, and atom/mol relationships is all that is necessary, as 1 g / mol 1 mol # g/amu = 23 6.022 10 atoms 1 amu / atom = 1.66 10-24 g/amu 2. Mole, in the context of this book, is taken in units of gram-mole. On this basis, how many atoms are there in a pound-mole of a substance? (5 pts) a. b. c. d. 2.73 x 10^26 atoms/lb-mol 2.34 x 10^24 atoms/lb-mol 2.51 x 10^24 atoms/lb-mol 2.85 x 10^25 atoms/lb-mol Solution Since there are 453.6 g/lbm, 1 lb - mol = (453.6 g/lb m) (6.022 10 23 atoms/g - mol) = 2.73 1026 atoms/lb-mol 3. Match the electronic structure to the element Fe ____ Al_____ Cu_____ O _____ A. 1s22s22p4 B. 1s22s22p63s23p63d64s2 C. 1s22s22p63s23p1 D. 1s22s22p63s23p63d104s1 Fe – B (5 pts) Al – C (5 pts) Cu – D (5 pts) O – A (5 pts) 4. A gold O-ring is used to form a gastight seal in a high-vacuum chamber. The ring is formed from a 80-mm length of 1.5-mm-diameter wire. Calculate the number of gold atoms in the O-ring. a. 4.16 x 10^21 b. 4.16 x 10^25 c. 8.33 x 10^21 d. 8.33 x 10^25 5. Calculate the force of attraction between a K+ and an O2- ion the centers of which are separated by a distance of 1.5 nm. a. 3.55 x 10^-10 N b. 4.01 x 10^-10 N c. 1.34 x 10^-10 N d. 2.05 x 10^-10 N Solution The attractive force between two ions FA is just the derivative with respect to the interatomic separation of the attractive energy expression, Equation 2.8 in the text, which is just FA = dEA dr A d A r = = dr r2 The constant A in this expression is defined in footnote 3. Since the valences of the K+ and O2 ions (Z1 and Z2) are +1 and -2, respectively, Z1 = 1 and Z2 = 2, then FA = = (Z1e) (Z 2 e) 40r 2 (1)(2)(1.602 1019 C) 2 (4)() (8.85 1012 F/m) (1.5 10 9 m) 2 = 2.05 10-10 N Copper is added to silver to make the metal stronger and more durable Sterling silver contains 92.5 wt% silver and 7.5 wt% copper. A small sterling silver spoon has a mass of 100 grams. Calculate the number of copper and silver atoms in the spoon. (5pts) Sterling silver: 92.5 wt % Ag + 7.5 wt % Cu Mass of spoon = 100 gr Mass of silver = mAg = 92.5 gr ⇒ number of silver atoms = 6.02×1023 atoms⁄mol × gr 107.9 ⁄mol 92.5 g = 5.2 × 1023 atoms (Ag) Mass of copper = mCu = 7.5 gr ⇒ number of copper atoms = 6.02×1023 atoms⁄mol gr 63.55 ⁄mol × 7.5 g = 7.1 × 1022 atoms (Cu)