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# Mole calculations

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### Mole calculations

1. 1. Using the mole for… CONVERSIONS
2. 2. CONVERSIONS <ul><li>Must use the molar mass </li></ul><ul><li>Can go from: </li></ul><ul><ul><li># of atoms/molecules to moles </li></ul></ul><ul><ul><li>Moles to # of atoms/molecules </li></ul></ul><ul><ul><li>moles to grams </li></ul></ul><ul><ul><li>grams to moles </li></ul></ul>
3. 3. SHORTCUTS for CONVERSIONS <ul><li>Moles to atom/molecules </li></ul><ul><ul><li>moles times 6.022 x 10 23 </li></ul></ul><ul><li>Atom/molecules to moles </li></ul><ul><ul><li># of atoms or molecules divided by 6.022 x 10 23 </li></ul></ul><ul><li>Moles to grams </li></ul><ul><ul><li>moles times molar mass </li></ul></ul><ul><li>Grams to moles </li></ul><ul><ul><li>grams divided by molar mass </li></ul></ul>
4. 4. mole island atom island gram island liter island Divide by 22.4L Mult by 22.4L Divide by molar mass Mult by molar mass divide by 6.022 x 10 23 Mult by 6.022 x 10 23
5. 5. Mole GRAMS LITERS # of atoms Divide by 6.022 x 10 23 X by 6.022 x 10 23 X by 22.4 liters Divide by 22.4 liters Divide by molar mass X by molar mass
6. 6. Sample problems <ul><li>How many atoms of copper are found in 1.34 moles of copper? </li></ul><ul><li>We are on mole island, need to get to atoms island. </li></ul><ul><li>Multiply moles by 6.022 x 10 23 </li></ul><ul><li>1.34 x 6.022 x 10 23 = </li></ul><ul><li>8.07 x 10 23 atoms of copper </li></ul>
7. 7. <ul><li>How many moles does 1.23 x 10 23 molecules of CaCl 2 represent? </li></ul><ul><li>we are on atom/molecule island, need to get to mole island. </li></ul><ul><li>divide # of molecules by 6.022 x 10 23 </li></ul><ul><li>1.23 x 10 23 / 6.022 x 10 23 = </li></ul><ul><li>.20 moles of CaCl 2 </li></ul>
8. 8. <ul><li>How many grams are in 3.4 moles of I 2 ? </li></ul><ul><li>We are on mole island, need to get to grams island. </li></ul><ul><li>multiply # of moles by the molar mass </li></ul><ul><li>3.4 x 253.8 = </li></ul><ul><li>862.92 grams of I 2 </li></ul>
9. 9. <ul><li>How many moles does 134.7 grams of H 2 SO 4 equal? </li></ul><ul><li>We are on gram island, need to get to mole island. </li></ul><ul><li>divide # of grams by the molar mass </li></ul><ul><li>134.7 / 98.08 = </li></ul><ul><li>1.37 moles of H 2 SO 4 </li></ul>
10. 10. <ul><li>How much does 7.12 x 10 24 molecules of H 2 O weigh in grams? </li></ul><ul><li>We are on atoms/molecules island, need to get to gram island. </li></ul><ul><li>divide # of molecules by 6.022 x 10 23 </li></ul><ul><li>then multiply by the molar mass </li></ul><ul><li>(7.12 x 10 24 /6.022 x 10 23 ) x 18.02 = </li></ul><ul><li>213.06 grams of water </li></ul>
11. 11. HOMEWORK <ul><li>1. How many moles are found in a sample containing 6.02 x 10 24 atoms? </li></ul><ul><li>2. If you have 1.28 x 10 22 molecules of HCl, how many moles do you have? </li></ul><ul><li>3. 3.5 moles of gold would have how many atoms? </li></ul><ul><li>4. If you had 12.3 moles of baking soda, how many molecules would it contain? </li></ul><ul><li>5. A sample of NaCl weighing 1.25 grams contains how many molecules? </li></ul>
12. 12. MORE HOMEWORK <ul><li>6. Calculate the number of moles in a 15.3 gram sample of barium hydroxide. </li></ul><ul><li>7. How many grams does 0.14 moles of silver nitrate equal? </li></ul><ul><li>8. If you had 2.3 grams of aluminum, how many atoms would it contain? </li></ul><ul><li>9. If you had 3.4 x 10 34 atoms of tungsten(V) arsenate, how many moles would you have? How many grams? </li></ul>