Bell Work, Dec 1 – Dec 5, 2015 Molar Mass, Moles, Calculating Moles Bell Work, Monday, Nov 30, 2015 1. The density of oxygen gas at O°C and 1 atm pressure is 1.43 g/liter, whereas the density of hydrogen gas under these conditions is 0.089 g/liter. How many times more massive is one molecule of oxygen than one molecule of hydrogen? Determine the relative masses 𝒈 𝟏.𝟒𝟑 𝟏𝑳 𝒈 𝟎.𝟎𝟖𝟗 𝟏𝑳 = 16 time massive H = 1, O = 16 2. If 12.5 g of hydrogen gas combine with 100 g of oxygen to make 112.5 g of water, what is the relative mass of oxygen to hydrogen? 𝟏𝟎𝟎𝒈 𝑶 =8gO:1gH 𝟏𝟐.𝟓 𝒈 𝑯 3. Why is the mass of oxygen in #2 half the value in question 1? Because the hydrogen in question 2 is H2 not H1. So the mass of 𝟏𝟎𝟎𝒈 𝑶 H1 is ½ of 12.5 = 6.25 = 16 g O : 1 g H 𝟔.𝟐𝟓 𝒈 𝑯 Bell Work, Monday, Nov 30, 2015 4. What is molar mass for elements. • It is the relative mass in grams of one standard lump of elements. A standard lump of an element has 1 mole of atoms. • Scientist choose carbon to compare relative masses. • By definition, something called the carbon-12 isotope (a carbon atom with 6 protons and six neutrons) has molar mass of exactly 12 grams. 5. What is the relative mass and the molar mass of an element that is ½ the mass of C-12? ½ of 12 = 6, so the relative mass = 6, the molar mass = 6 grams 6. What is the relative mass of an element that is 2 x the mass of C-12? 2 x 12 = 24, so the relative mass = 24, the molar mass = 24 grams 7. What is a mole? The number of particles in a mole = 6.022 x 1023 The molar mass of any element contains 6.022 x 1023 atoms the molar mass in grams of any element or compound = 1 mole Bell Work, Tuesday, Dec 1, 2015 1. Find the number of nitrogen, carbon, hydrogen, & oxygen atoms represented by the formula (NH4)2CO3 (NH4)2CO3 = 2(NH4) and 1(CO3) 2(NH4): 2•N1 = 2• 1N = 2 N, 2•H4 = (2 • 4H) = 8 H Plus 1 CO3 = 1 atom of carbon and 3 atoms of oxygen 2 nitrogens, ____ 8 hydrogens, ____ 1 carbons and ____ 3 ____ oxygen atoms. Bell Work, Tuesday, Dec 1, 2015 1. Find the number of nitrogen, carbon, hydrogen, & oxygen atoms represented by the formula (NH4)2CO3 8 H, ____ 1 C and ____ 3 O ____ 2 N , ____ 2. Now find the molar mass of each element on the periodic table. g Molar mass of H =1.008 g Molar mass of N = 14.01 ________ ______ g g Molar mass of O = 16.00 Molar mass of C = 12.01 ________ ______ 3. The molar mass of (NH4)2CO3 is found multiplying the molar mass from the periodic table by the number of each element in the formula and adding up the masses. For a molecule, the Molar mass of two N’s is 2 x 14.01 = 28.02 g formula 8.064 g mass and Molar mass of 8 H’s is 8 x 1.008 = the molar 12.01 g Molar mass of one C is 1 x 12.01 = are the same Molar mass of three O’s is 3 x 16.0 = 48.00 g 96.094 g Bell Work, Wednesday, Dec 2, 2015 1. A 4.07 g sample of NaI contains how many moles of NaI? _____ x = ______ (given) times factor = (answer) Grams moles Molar mass of Na = 22.99 grams, Molar mass of I = 126.9 Molar mass of NaI = 149.9, 1 mole of NaI = 149.9 g/ mol NaI mol NaI 4.07 g NaI x 1 mol NaI = ?______ 149.9 NaI = 0.027 mol NaI 2. A 4.07 g sample of NaI contains how many moles (mol) of Na? 1 molecule of NaI = 1 Na and 1 I, I mol of NaI = 1 mol Na, 1 mol I 4.07 g of NaI = 0.027 mol NaI, 0.027 mol NaI = 0.027 mol of Na, 0.027 mol I 4.07 g NaI contains 0.027 moles of Na Bell Work, Wednesday, Dec 2, 2015 3. A 4.07 g sample of NaI contains how many atoms of Na? Grams moles # of atoms Molar mass of Na = 22.99 grams, Molar mass of I = 126.9 Molar mass of NaI = 149.9, 1 mole of NaI = 149.9 g NaI 1 mole of NaI = 6.022 x 1023 molecules of NaI 1 mole of Na = 6.022 x 1023 atoms Na 6.022 x 1023 atoms Na 0.027 mol Na x = ? atoms Na 1 mol Na = 1.63 x 1022 atoms Na Bell Work, Thursday, Dec 3, 2015 1. Use Avogadro’s number to find how many atoms are there in 0.00150 moles Zn? Avogadro’s number = 6.022 x 1023 1 mole of Zn = 6.022 x 1023 atoms of Zn 23 atoms Zn 6.022 x 10 atoms Zn 0.00150 mol Zn x = ? ______ 1 mol Zn = 9.03 x 1020 atoms Zn (given) times conversion factor = (answer) Bell Work, Thursday, Dec 4, 2015 2. What is the mass of 100 million atoms of gold? Could you mass this on a balance? To little to weigh out. #of atoms moles Grams Avogadro’s number = 6.022 x 1 mole of Au = 6.022 x 1023 atoms of Au 1 mol Au 8 1.00 x 10 atoms Au x _____________ 23 1 mole of Au = 196.97 g 1023 x 10 -16 mol Au = 1.66 ______ 6.022 x 10 atoms Au (given) times conversion factor = (answer) 196.97 g Au -16 -14 1.66 x 10 mol Au 3.27 x 10 _____________ x = ______ grams Au 1 mol Au 1.00 108 atoms Au 1 mol 197.0 g = 3.27 x 10-14 g Au 6.02 x 1023 atoms 1 mol Bell Work, Thursday, Dec 4, 2015 This bell work is for bonus points & is for review 3. The relative mass of an atom can be found by comparing the mass of the atom to the mass of a. one atom of carbon-12. c. a proton. b. one atom of hydrogen-1. d. uranium-235. carbon atoms 4. A mole is the number equal to the number of _______ in exactly 12 g of pure __________ carbon-12. 5. The carbon-12 atom is assigned a relative mass of exactly a. 1 g. c. 12 g. b. 6 g. d. 100 g.