Warm-Up • Which best represents the electron configuration for an atom of Mg+2? • A)1s22s22p63s2 • B) 1s21p62s22p63s2 • C) 1s22s22p6 • D) 1s22s22p63s23p64s24d6 Practice How many atoms are present in 23.46 grams of Mn2(SO4)7? How many kilograms are in 3.76 x 1024 particles of Fe(OH)3? Practice • How many moles are present in 3.45 x 1023 atoms of Ar? • How many atoms are present in 4.56 moles of Fe? • Convert 6.84 moles of Ca to particles. Molar Volume •Molar Volume is often used to describe a gas •Gases can change volume based on temperature and pressure •STP-standard temperature and pressure Molar Volume •Pressure: amount of force per unit area •STP- is a certain set of conditions •Standard Pressure is 101.3 kPa or 1atm •Standard Temperature is 0C or 273 K Molar Volume Continued •The volume of 1 mole at STP is 22.4 L •Therefore, 1 mole (at STP) = 22.4 L Examples •1) How many moles are in 45 L H2O at STP? •2) How many liters are in 12.3 moles of H2SO4 at STP? Classwork •3) How many liters are in 1.5 x 10-10 moles of O2 at STP? •4) How many particles are present in 23.4 L of a gas at STP? Example •What volume is occupied by 90 g CO2 at STP? •1) Determine conversion factors •2) Use factor label Gas Density and Molar Mass •Recall, •1 mole = 22.4 L •1 mole = gfm 1 mole CO2 = 44 g CO2 1 mole CO2 (at STP) = 22.4 L CO2 90 g CO2 1 mole CO2 22. 4 L CO2 44 g CO2 1 mole CO2 = 45.8 L CO2 Review Questions • How many particles are in 54.0 g NH3? • How many grams are 3.4 x 1024 particles of SO3? Practice • Determine the number of particles in 34.5 g of H2SO4. • How many grams are present in 2.34 25 x 10 particles of Br2? Practice •1) How many atoms are in 19.5 moles of Ca? •2) How many grams are present in 0.54 moles of K2S? •3). How many grams of H2SO4 are present in 25 9.524 x 10 atoms of H2SO4? Empirical Formula •The empirical formula {also called the simplest formula} gives the lowest whole number ratio of atoms of the elements in a compound Empirical Formula • In an empirical formula, the number of atoms do not reduce any further • The subscript used must be expressed as a whole number (no decimal places) Steps to Solve First determine the number of moles of each substance present •Convert the grams of each element to moles (using the gfm or molar mass) • 1) •2) Then divide each number of moles present by the smallest number of moles •3) (If Necessary) multiply the number of atoms by a number that will yield whole numbers Example #1 •What is the empirical formula of a compound that is 60.0 % Magnesium and 40.0% oxygen? Solution •Assume that 100 g of the compound are present •60.0% Magnesium= 60.0 g Magnesium •40.0 % Oxygen = 40.0 g Oxygen Solution Continued 60.0 g Magnesium 1 mole Magnesium 24.3 g Magnesium = 2.46 moles Magnesium Solution Continued • Oxygen: 40.0 g Oxygen 1 mole Oxygen 16.0 g Oxygen = 2.50 moles Oxygen Solution Continued •3) Now divide the number of moles for each element by the smallest number of moles. •2.46 moles Magnesium •2.50 moles Oxygen Solution Continued •Magnesium has the smallest number of moles {2.46 moles} •So divide the number of moles of Magnesium and Oxygen by 2.46 •Magnesium = 2.46 moles / 2.46 moles = 1 mole Magnesium •Oxygen = 2.50 moles / 2.46 moles = 1.02 moles Oxygen •Mg1O1 •MgO is the empirical formula Example #2 •What is the empirical formula of a compound that is 25.9% nitrogen and 74.1% oxygen? Solution •Assume that you have 100 g of the compound •25.9% Nitrogen = 25.9 g Nitrogen •74.1 % Oxygen = 74.1 g Oxygen Solution Continued •Convert the grams of each element to moles (using the gfm) 25.9 g Nitrogen 1 mole Nitrogen 14 g Nitrogen = 1.85 Moles Nitrogen Solution Continued • Oxygen 74.1 g Oxygen 1 mole Oxygen 16 g Oxygen = 4.63 Moles Oxygen Solution Continued Now divide the number of moles for each element by the smallest number of moles. •1.85 moles Nitrogen •4.63 moles Oxygen • 3. Solution Continued •Nitrogen has the smallest number of moles •So divide the number of moles of Nitrogen and Oxygen by 1.85 Solution Continued •Nitrogen = 1.85 moles / 1.85 moles = 1 mole Nitrogen •Oxygen = 4.63 moles / 1.85 moles = 2.50 moles Oxygen • N1O2.5 Solution Continued •Atoms can never appear in fractions or decimals •Thus, you must multiply the number of atoms by a number that will yield whole numbers •In N1O2.5, multiply the atoms by “2” •Thus N2O5is your final answer Example # 3 •An 8.20 g piece of magnesium combines completely with 5.40 g of oxygen to form a compound. What is the empirical formula? Additional Examples •Find the Empirical Formula of the following: •a. 71.65% Cl, 24.27% C, 4.07% H •b. 43.64% P, 56.36% O Practice •Find the empirical formula of a compound that contains:27.4% Na, 1.19% H, 14.3% C, and 57.1% O
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