Chapter 10 10.1 You could measure the amount of sand in a sand sculpture by counting each grain of sand, but it would be much easier to weigh the sand. You’ll discover how chemists measure the amount of a substance using a unit called a mole, which relates the number of particles to the mass. 10.1 10.1 A mole (mol) of any substance contains a lot of particles; Avogadro’s number of particles (6.02 1023). 10.1 So a mole is a counted quantity, just like a dozen, only a little bigger! 10.1 ◦ The mass of one mole of a substance is called the molar mass. The mass of one mole of an element is the atomic mass measured out in grams. This quantity has 6.02 x 1023 atoms of the element. 10.1 The molar mass of carbon, sulfur, mercury, and iron are shown below. 10.1 The mass of one mole of a compound is the formula mass measured out in grams. This quantity has 6.02 x 1023 formula units or molecules of the compound. 10.1 1 mole of SO3 has a mass of 80.1 g. 10.1 8. What is the mass of 1.00 mole of sodium hydrogen carbonate? What is the mass of 2.00 moles? 10.2 ◦ Use the molar mass to convert between the mass of a substance and the moles of a substance. Ref. table T has the equation to use: 17. Calculate the mass, in grams, of 2.50 moles of iron (II) hydroxide. 19. Calculate the number of moles in 75.0 g of dinitrogen trioxide 10.3 It helps to know the percents of the components in a shirt because they affect how warm it is, whether it will need to be ironed, and how it should be cleaned. You will learn how the percents of the elements in a compound are important in chemistry. 10.3 The percent by mass of an element in a compound is the number of grams of the element divided by the mass in grams of the compound, multiplied by 100%. 10.3 ◦ Reference table T has the equation to find the percent mass of an element in a compound: 10.3 ◦ If mass data isn’t given use the formula and molar mass to find percent composition. 34. Calculate the percent composition of these compounds. a.Ethane (C2H6) b.Sodium hydrogen sulfate (NaHSO4) 10.3 ◦ The percent composition can be used as a conversion factor to calculate the number of grams of any element in a specific mass of a compound. 10.3 Propane (C3H8) is 82% carbon and 18% hydrogen. Find the mass of carbon and hydrogen in an 90.0 g sample of C3H8. Water is 11% hydrogen and 89% oxygen by mass. What is the mass of hydrogen and oxygen in a 56.0 g sample of water? 10.3 The empirical formula gives the lowest whole-number ratio of the atoms/ions of the elements in a compound. Ionic formulas are always empirical; molecular formulas may or may not not be. 10.3 Ethyne (C2H2) is a gas used in welder’s torches. Styrene (C8H8) is used in making polystyrene. These two compounds of carbon have the same empirical formula but different molecular formulas. What is the empirical formula of the following: ◦ ◦ ◦ ◦ ◦ ◦ C6H12O6 H2O2 NaCl C2H4O2 CH4 C6H6 10.3 The molecular formula of a compound is either the same as its experimentally determined empirical formula, or it is a simple whole-number multiple of its empirical formula. 10.3 Methanal, ethanoic acid, and glucose all have the same empirical formula—CH2O. 10.3 To find the molecular formula from the empirical formula: ◦ Determine how many times more massive the molecular formula is than the empirical formula ◦ Multiply the subscripts of the empirical formula by this small whole number