Modern Chemistry Chapter 7 Chemical Formulas & Chemical Compounds A chemical formula indicates the kind and relative number of atoms in a chemical compound. C8H18 (octane) has 8 carbon and 18 hydrogen atoms. Forming Ionic Compounds Compounds that have the elements held together by ionic bonds are called ionic compounds. For an ionic compound to exist, the algebraic sum of the positive and the negative charges of the ions MUST = 0. For instance, when a calcium atom becomes an ion, it has an overall 2+ charge which must be neutralized by ion(s) that have a 2- charge. IF a Ca2+ cation forms an ionic bond with an O2- anion, the resulting compound will be neutral and the formula would be CaO. However, if the Ca2+ bonds with a F- anion, it would require two F- ions to neutralize the Ca2+ CaF2 Calcium ( Ca2+ ) combines with oxygen ( O2- ) CaO : + ---------- - Ca2+ O2+ ---------- - Calcium (Ca2+ ) combines with fluorine (F1- ) CaF2: + ---------- - F1- + ---------- - F1- Ca2+ Binary Ionic Compounds monatomic ions- ions formed from a single atom – IF the ion has a positive charge, use the name of the element – IF the ion has a negative charge, replace the ending of the element name with “ide”. Binary Ionic Compounds binary compound- a compound composed of two Writing binary ionic compound formulas: 1) Write the symbols for the ions side by side with the cation being first. 2) IF the charges of the two ions do not add to zero, cross over the charges by using the absolute value of each ion’s charge as the subscript for the other ion so the algebraic sum of the ions equals zero. 3) Check the subscripts and make sure they are in the smallest whole number ratio possible. e.g. aluminum oxide Al3+O2- Al2O3 elements Naming Binary Ionic Compounds nomenclature- a naming system Naming ionic compounds: Write the name of the cation in the formula. 2) Write the name of the anion in the formula. 1) Al2O3 aluminum oxide Do practice problems #1 & 2 on page 223. Problems- page 223 1) ab- cde- potassium (K+) & iodide (I-) KI magnesium (Mg2+) & chloride (Cl-) MgCl2 sodium (Na+) & sulfide (S2-) Na2S aluminum (Al3+) & sulfide (S2-) Al2S3 aluminum (Al3+) & nitride (N3-) AlN #2 a) AgCl silver chloride b) ZnO zinc oxide c) CaBr2 calcium bromide d) SrF2 strontium fluoride e) BaO barium oxide f) CaCl2 calcium chloride Stock System of Nomenclature Some metallic elements that form cations such as chromium, cobalt, copper, iron, lead, manganese, mercury, nickel, and tin can form cations of more than one charge. (See ion chart) For cations that can have multiple ionic charges, place a Roman numeral in parentheses that is equal to the ionic charge after the name of the metal. Cu1+ copper (I) Cu2+ copper (II) Fe2+ iron (II) Fe3+ iron (III) Using the Stock System Write the formula of the ionic compound. 2) Use the charge of the anion to determine the charge of the cation. 3) Write the name of the cation with the charge followed by the name of the anion. 1) CuCl copper (I) chloride CuCl2 copper (II) chloride Do practice problems #1 & 2 on page 225. Practice- page 225 #1 a) b) c) d) e) f) Cu2+ & Br- CuBr2 copper II bromide Fe 2+ & O2- FeO iron II oxide Pb 2+ & Cl- PbCl2 lead II chloride Hg 2+ & S2- HgS mercury II sulfide Sn 2+ & F- SnF2 tin II fluoride Fe 3+ & O2- Fe2O3 iron III oxide Practice- page 225 #2 a) CuO copper II oxide b) CoF3 cobalt III fluoride c) SnI4 tin IV iodide d) FeS iron II sulfide Polyatomic Ions polyatomic ion- a group of covalently bonded atoms with an ionic charge oxyanion- a negatively charged polyatomic ion that contains oxygen Ionic Compounds & Polyatomic Ions Writing and naming strategies are the same for ionic compounds with polyatomic ions. However, if more than one polyatomic ion is needed in the formula, the formula of the polyatomic ion is placed in parentheses and a subscript is used outside the parenthesis to show how many of the polyatomic ions are needed. e.g. iron (II) nitrate Fe(NO3)2 Do practice problems #1 & 2 on page 227. Practice Problems #1 page 227 1 a- sodium iodide NaI bcd- calcium chloride potassium sulfide lithium nitrate CaCl2 K2S LiNO3 e- copper (II) sulfate CuSO4 f- sodium carbonate Na2CO3 g- calcium nitrite Ca(NO2)2 h- potassium perchlorate KClO4 2a- Ag2O silver oxide b- Ca(OH)2 calcium hydroxide c- KClO3 potassium chlorate d- NH4OH ammonium hydroxide e- Fe2(CrO4)3 iron (III) chromate f- KClO potassium hypochlorite Practice Do the following formulas match the names given? IF they do not match, provide the CORRECT name or formula. CuSO4 copper I sulfate Fe2(SO4)3 iron III sulfate FeSO4 iron II sulfate copper I nitrate CuNO3 copper II nitrate Cu2NO3 Practice Do the following formulas match the names given? CuSO4 copper I sulfate NO [copperII] Fe2(SO4)3 iron III sulfate YES FeSO4 iron II sulfate YES copper I nitrate CuNO3 YES copper II nitrate Cu2NO3 NO [Cu(NO3)2] Ionic Compound Nomenclature Name the following compounds: 1) 2) 3) 4) 5) 6) 7) 8) 9) 10) MgBr2 CuO Cu2O FeSO4 Fe2(SO4)3 CaSO4 Cu2SO4 CuSO4 FePO4 Fe3(PO4)2 Ionic Compound Nomenclature Name the following compounds: MgBr2 magnesium bromide CuO copper II oxide Cu2O copper I oxide FeSO4 iron II sulfate Fe2(SO4)3 iron III sulfate CaSO4 calcium sulfate Cu2SO4 copper I sulfate CuSO4 copper II sulfate FePO4 iron III phosphate Fe3(PO4)2 iron II phosphate Ionic Compound Nomenclature Write the formulas of the following ionic compounds: 1) 2) 3) 4) 5) 6) 7) 8) 9) 10) aluminum nitrate aluminum nitride magnesium phosphate magnesium bromide copper I sulfate copper II sulfate iron II nitrate iron III fluoride calcium hydroxide calcium phosphate aluminum nitrate Al 3+ NO3 1Al(NO3)3 aluminum nitride Al 3+ N 3AlN magnesium phosphate Mg 2+ PO4 3Mg3(PO4)2 magnesium bromide MgBr2 Mg 2+ Br copper I sulfate Cu2SO4 Cu 1+ SO4 2- copper II sulfate CuSO4 Cu 2+ SO4 2- iron II nitrate Fe(NO3)2 Fe 2+ NO3 1- 1- iron III fluoride FeF3 Fe 3+ F calcium hydroxide Ca Ca(OH)2 2+ OH calcium phosphate Ca Ca3(PO4)2 2+ PO4 1- 1- 3- Binary Molecular Compounds For this course, molecular compounds consist of two non-metals. For our purposes, hydrogen will be considered a non-metal. The ratio of the elements is NOT determined by their individual ionic charges. e.g. CO & CO2 or H 2O & H 2 O 2 Naming of Binary Molecular Compounds From Formulas Write the name of the first element in the formula. 2) Write the name of the second element using the suffix “ide”. 3) Use numerical prefixes to show the number of atoms of each element. e.g. P2O5 diphosphorus pentoxide 1) 1 2 3 4 5 = = = = = mono di tri tetra penta 6 = hexa 7 = hepta 8 = octa 9 = nona 10 = deca Binary Molecular Compounds P4O10 tetra + phosphorus & dec + oxide tetraphosphorus decoxide CO carbon & mon + oxide carbon monoxide CO2 carbon & di + oxide carbon dioxide Formulas for Molecular Compounds 1) The element with the smaller group number is usually given first. If both elements are in the same group, the element with the larger period number is given first. This element is given a prefix ONLY if it contributes more than one atom to the molecule of the compound. 2) The second element is named by combining a prefix for the number of atoms of the element in the compound, the root of the name of the element, and the suffix “ide”. 3) The “o” or the “a” at the end of a prefix is usually dropped when the word following the prefix begins with another vowel. Writing Molecular Formulas 1) Write the formula of the first element in the compound name followed by the numerical subscript that shows how many there are (if there is no numerical prefix, there is one atom of the element). 2) Write the formula of the second element in the compound name followed by a subscript that shows how many atoms of the element are designated by the numerical prefix in the name. carbon dioxide CO2 Do practice problems #1 & 2 on page 229. Practice Problems #1 & 2 page 229 1- a- SO3 sulfur trioxide b- ICl3 iodine trichloride c2- a- bc- PBr5 phosphorus pentabromide carbon tetraiodide CI4 phosphorus trichloride PCl3 dinitrogen trioxide N2O3 Molecular Compound Nomenclature Name the following molecular compounds. 1) N2O5 2) SO2 3) P4O10 4) CO 5) CO2 6) SiO2 7) H2O2 8) CF4 9) PBr3 10) SF2 Name the following molecular compounds. 1) N2O5 2) SO2 3) P4O10 4) CO 5) CO2 6) SiO2 7) H2O2 8) CF4 9) PBr3 10) SF2 dinitrogen pentoxide sulfur dioxide tetraphosphorus decoxide carbon monoxide carbon dioxide silicon dioxide dihydrogen dioxide carbon tetrafluoride phosphorus tribromide sulfur difluoride Molecular Compound Nomenclature Write the formula for the following compounds. 1) carbon tetraiodide 2) trinitrogen heptoxide 3) triphosphorus hexasulfide 4) oxygen dichloride 5) disilicon triphosphide 6) tetranitrogen heptoxide 7) carbon disulfide 8) dihydrogen monosulfide 9) trihydrogen monophosphide 10)silicon disulfide Molecular Compound Nomenclature Write the formula for the following compounds. 1) carbon tetraiodide CI4 2) trinitrogen heptoxide N3O7 3) triphosphorus hexasulfide P3S6 4) oxygen dichloride OCl2 5) disilicon triphosphide Si2P3 6) tetranitrogen heptoxide N4O7 7) carbon disulfide CS2 8) dihydrogen monosulfide H2S 9) trihydrogen monophosphide H3P 10)silicon disulfide SiS2 Section Review Problem #2 page 231 2- a- bcdefgh- aluminum + bromine AlBr3 sodium + oxygen Na2O magnesium + iodine MgI2 lead (II) + oxygen PbO tin (II) + iodine SnI2 iron (III) + sulfur Fe2S3 copper (II) + nitrate Cu(NO3)2 ammonium + sulfate (NH4)2SO4 Section Review Problem #3 page 231 3 a- NaI sodium iodide b- MgS magnesium sulfide c- CaO calcium oxide d- K2S ef- potassium sulfide CuBr copper (I) bromide FeCl2 iron (II) chloride Section Review Problem #4 (a-e) page 231 4 ab- cde- sodium hydroxide NaOH lead (II) nitrate Pb(NO3)2 iron (II) sulfate FeSO4 diphosphorus trioxide P2O3 carbon diselenide CSe2 Oxidation Numbers oxidation numbers (oxidation states)- assigned to the atoms composing a molecular compound or polyatomic ion that indicate the general distribution of electrons among the bonded atoms in the compound or ion Assigning Oxidation Numbers 1) 2) 3) 4) The atoms in a pure element are assigned an oxidation number of zero. The more electronegative (second) element in a binary molecular compound is assigned the number equal to the negative charge it would have if it were an anion. Fluorine always has an oxidation number of -1 because it is the most electronegative element. Oxygen has an oxidation number of -2 in almost all compounds. 5) Hydrogen has an oxidation number of +1 in compounds where it is listed first and -1 when it is listed last in the compound formula. 6) The algebraic sum of all oxidation numbers in a neutral compound is equal to zero. 7) The algebraic sum of the oxidation numbers of the atoms in a polyatomic ion equal the ion’s charge. 8) Oxidation numbers can also be assigned to atoms in an ionic compound. Using Oxidation Numbers Do practice problem #1 on page 234. Practice #1 pg 234 a) HCl H = 1+ b) CF4 C = 4+ c) PCl3 P = 3+ d) SO2 S = 4+ e) HNO3 H = 1+ f) KH K = 1+ g) P4O10 P= 5+ h) HClO3 H = 1+ i) N2O5 N = 5+ j) GeCl2 Ge = 2+ Cl = 1F = 1Cl = 1O = 2N = 5+ H = 1O = 2Cl = 5+ O = 2Cl = 1- O = 2- O = 2- Oxidation Number problems What would be the oxidation number of each element in the following compounds & polyatomic ions? H2 O H= O= H2SO4 H= S= N2O5 N= O= SO42- S= O= PO43- P= O= O= What would be the oxidation number of each element in the following compounds & polyatomic ions? H2O H2SO4 N2O5 SO42PO43- H = 1+ O = 2- H = 1+ S = 6+ N = 5+ O = 2- S = 6+ O = 2- P = 5+ O = 2- O = 2- Oxidation Numbers & the Stock System We can use oxidation numbers assigned to the less electronegative (first) element to name binary molecular compounds by using the oxidation number as if it were a cation. PCl3 phosphorus trichloride phosphorus (III) chloride Do section review problems #1-2 on page 235. Problems page 235 #1aHF bc- H = 1+ F = 1- C = 4+ I = 1- H = 1+ O = 2- CI4 H2O d- PI3 efgh- P = 3+ I = 1CS2 C = 4+ S = 2This is a rare case when O = 1-. H2CO3 H = 1+ C = 4+ O = 2NO21- N = 3+ O = 2- Problems page 235 #2a- CI4 carbon (IV) iodide b- SO3 sulfur (VI) oxide c- As2S3 arsenic (III) sulfide d- NCl3 nitrogen (III) chloride Oxidation Numbers & the Stock System Using oxidation numbers & the stock system, what would be the names of the following binary molecular compounds? (fill in the blank with the roman numeral) N2O5 nitrogen __ oxide SiO2 silicon __ oxide CF4 carbon __ fluoride PI3 phosphorus __ iodide SiBr4 silicon __ bromide Using oxidation numbers & the stock system, what would be the names of the following binary molecular compounds? N2O5 SiO2 CF4 PI3 nitrogen V oxide silicon IV oxide carbon IV fluoride SiBr4 phosphorus III iodide silicon IV bromide Chapter 7 part 1 worksheet Write the formula for the following ionic compounds. 1-magnesium phosphate Mg3(PO4)2 2-calcium hydroxide Ca(OH)2 3-iron (II) nitrate Fe(NO3)2 4-iron (III) sulfate Fe2(SO4)3 5-ammonium carbonate (NH4)2CO3 Write the name of the following ionic compounds. 6- FeSO4 iron (II) sulfate 7- FePO4 iron (III) phosphate 8- KNO3 potassium nitrate 9- CuSO4 copper (II) sulfate 10- Cu2SO4 copper (I) sulfate Write the formula of the following molecular compounds. 11- dinitrogen pentoxide N2O5 12- triphosphorus heptasulfide P3S7 13- silicon dioxide SiO2 14- carbon tetrachloride CCl4 15- disulfur trioxide S2O3 Write the name of the following molecular compounds using numerical prefixes. 16- H2O2 dihydrogen dioxide 17- P2O6 diphosphorus hexoxide 18- SiS2 silicon disulfide 19- N4O10 tetranitrogen decoxide 20- PI3 phosphorus triiodide Write the name of the following molecular compounds using the Stock system. 21- H2O hydrogen (I) oxide 22- P2O5 phosphorus (V) oxide 23- SiS2 silicon (IV) sulfide 24- N4O10 nitrogen (V) oxide 25- PI3 phosphorus (III) iodide Determine the oxidation numbers assigned to each element in the following compounds or ions. 2627282930- N2O5 N = 5+ O = 2- C = 4+ O = 2- S = 6+ O = 2- P = 5+ O = 2- N = 5+ O = 2- CO2 SO3 PO43NO31- Honors Ch 7 part 1 34 multiple choice: chemical formulas represent ? (3) ionic formulas from names (5) ionic compound names from formulas (4) molecular compound names from formulas (4) molecular formulas from names (4) oxidation number assignment rules (4) determining oxidation numbers (5) naming binary molecular compounds using the stock system (5) Honors Ch 7 part 1 1 short answer: What type of compound cannot be represented by a molecular formula? Explain. 4 completion: -name an ionic compound -name a polyatomic ion -determine oxidation numbers in a polyatomic ion and a compound 1 essay: -eliminated (it will be on next test) Chemistry Ch 7 part 1 test 25 multiple choice questions: chemical formulas & what they represent (2) determine ionic formula from name (4) determine ionic name from ionic formula (4) determine molecular name from formula (4) determine molecular formula from name (4) rules for assigning oxidation numbers (3) determine oxidation numbers in compounds (4) Chemistry Chapter 7 part 1 Practice Test What do the letters and the subscripts in a chemical formula represent? – The identities and the numbers of atoms of each element in a compound. Name the following ionic compounds. Na2S sodium sulfide FeSO4 iron (II) sulfate Fe3(PO4)2 iron (II) phosphate Chemistry Chapter 7 part 1 Practice Test What is the formula of the following ionic compounds? copper (I) phosphate Cu3PO4 copper (II) phosphate Cu3(PO4)2 magnesium nitride Mg3N2 iron (III) sulfate Fe2(SO4)3 Chemistry Chapter 7 part 1 Practice Test Name the following molecular compounds. N2O5 dinitrogen pentoxide PF3 phosphorus trifluoride CBr4 carbon tetrabromide What is the formula of the following molecular compounds? sulfur dichloride SCl2 diphosphorus pentoxide P2O5 silicon disulfide SiS2 Chemistry Chapter 7 part 1 Practice Test What is the oxidation number of each element in the following molecular compounds? N2O5 N = 5+ O = 2 SO42S = 6+ O = 2 H3PO4 H = 1+ P = 5+ O = 2 Chemistry In Action Read “Mass Spectrometry: Identifying Molecules” on page 236. Answer questions #1 & 2 at the end of the reading. Modern Chemistry Chapter 7 Part 2 Using Chemical Formulas formula mass- the sum of the average atomic masses of all atoms represented in its formula – Do practice #1 on page 238 molar mass- the mass of one mole of an element or a compound (equal to the formula mass expressed in grams) – Do practice problems #1 & 2 on page 239. Practice #1 page 238 a) H2SO4 2 H x 1.0 = 2.0 1 S x 32.1 = 32.1 4 O x 16.0 = 64.0 2.0 + 32.1 + 64.0 = 98.1 amu b) Ca(NO3)2 1 Ca x 40.1 = 40.1 2 N x 14.0 = 28.0 6 O x 16.0 = 96.0 40.1 + 28.0 + 96.0 = 164.1 amu c) = 95.0 amu d) = 95.3 amu Practice #2 page 239 a) Al2S3 2 Al x 27.0 = 54.0 3 S x 32.1 = 96.3 54.0 + 96.3 = 150.3 g/mol b) NaNO3 1 Na x 23.0 = 23.0 1 N x 14.0 = 14.0 3 O x 16.0 = 48.0 23.0 + 14.0 + 48.0 = 85.0 g/mol c) Ba(OH)2 1 Ba x 137.3 = 137.3 2 O x 16.0 = 32.0 2 H x 1.0 = 2.0 137.3 + 32.0 + 2.0 = 171.3 g/mol Review Quiz (10 pts) Calculate the molar mass of each of the following compounds. Please show your work and use the correct label for each molar mass. 12345- CaF2 H2O CO2 PBr3 Al2(SO4)3 Molar Mass as a Conversion Factor # moles ÷ molar mass # grams x molar mass #grams Do Practice problems #1 & 3 on page 242. Problem #1 page 242 a) 6.60 g (NH4)2SO4 N = 2 x 14.0 = 28.0 H = 8 x 1.0 = 8.0 S = 1 x 32.1 = 32.1 O = 4 x 16.0 = 64.0 129.1 6.60/129.1 = 0.051 mol (NH4)2SO4 b) 4.5 kg = 4500 g Ca(OH)2 Ca = 1 x 40.1 = 40.1 O = 2 x 16.0 = 32.0 H = 2 x 1.0 = 2.0 74.1 4500/74.1 = 60.7 mol Ca(OH)2 Problem #3 page 242 6.25 mol of copper (II) nitrate = ? g copper (II) nitrate = Cu(NO3)2 Cu = 1 x 63.5 = 63.5 N = 2 x 14.0 = 28.0 O = 6 x 16.0 = 96.0 187.5 g/mol 6.25 mol x 187.5 g/mol = 1172 g Cu(NO3)2 mass-mole & mole-mass review quiz 1) How many moles of H2O are there in 45.0 grams of H2O? ( molar mass of H2O = 18.0 g/mol) 2) How many moles of CO2 are there in 220.0 grams of CO2? (molar mass of CO2 = 44.0 g/mol) 3) How many grams of H2O are in 5.5 moles of water? 4) How many grams of CO2 are in 0.05 moles of CO2 ? 5) How many grams of H2CO3 are in 1.75 moles of the substance? (molar mass of H2CO3 = 62.0 g/mol) Honors Class- mass-mole & mole-mass review quiz 1) How many moles of H2O are there in 45.0 grams of H2O? 2) How many moles of CO2 are there in 220.0 grams of CO2? 3) How many grams of H2O are in 5.5 moles of water? 4) How many grams of CO2 are in 0.05 moles of CO2 ? 5) How many grams of H2CO3 are in 1.75 moles of the substance? Percentage Composition percentage composition- the percentage of the total mass of each element in a compound mass of element in 1 mole x 100% molar mass of compound eg. CO2 mass C = 1 x 12.0 = 12.0 mass O = 2 x 16.0 = 32.0 molar mass of CO2 = 44.0 g/mol %C = 12.0/44.0 (100) = 27.3% %O = 32.0/44.0 (100) = 72.7% eg H2O = %H in H2O = % O in H2O = H = 2 x 1.0 = 2.0 O = 1 x 16.0 = 16.0 18.0 g/mol 2.0 x 100 = 11.1% 18.0 16.0 x 100 = 88.9% 18.0 % composition by mass practice Do Practice problems #1-3 on page 244. Do Section Review problems #1, 3, & 5 on page 244. Problem #1 page 244 a) PbCl2 Pb = 1 x 207.2 = 207.2 Cl = 2 x 35.5 = 71.0 278.2 Pb = 207.2 x 100 = 74.5% 278.2 Cl = 71.0 x 100 = 25.5% 278.2 1-b) Ba(NO3)2 Ba = 1 x 137.3 = 137.3 N = 2 x 14.0 = 28.0 O = 6 x 16.0 = 96.0 261.3 Ba = 137.3 x 100 = 52.5% 261.3 N= 28.0 x 100 = 10.7% 261.3 O = 96.0 x 100 = 36.7% 261.3 Problem #2 page 244 ZnSO4·7H2O Zn = 1 x 65.4 = 65.4 S = 1 x 32.1 = 32.1 O = 4 x 16.0 = 64.0 H2O = 7 x 18.0 = 126.0 287.5 %H2O = 126.0 x 100 = 43.8% 287.5 Problem #3 page 244 Mg(OH)2 = 175 g oxygen = 54.87% 175 x 54.8 = 95.9 g oxygen 100 95.9 g = 6.0 mol oxygen 16.0 g/mol Section Review #1 (NH4)2CO3 page 244 N = 2 x 14.0 = 28.0 H = 8 x 1.0 = 8.0 C = 1 x 12.0 = 12.0 O = 3 x 16.0 = 48.0 96.0 amu 96.0 g/mol Section Review #3 mass of 3.25 mol Fe2(SO4)3 ? Fe = 2 x 55.8 = 111.6 S = 3 x 32.1 = 96.3 O = 12 x 16.0 = 192.0 399.9 g/mol 3.25 mol x 399.9 g/mol = 1299.7 g Section Review #5 % composition of each element of (NH4)2CO3 N = 2 x 14.0 = 28.0 H = 8 x 1.0 = 8.0 C = 1 x 12.0 = 12.0 O = 3 x 16.0 = 48.0 96.0 g/mol %N = 28.0 x 100 = 29.2% 96.0 %H = 8.0 x 100 = 8.3% 96.0 %C = 12.0 x 100 = 12.5% 96.0 %O = 48.0 x 100 = 50.0% 96.0 % composition by mass quiz 1- Find the % composition by mass of each element in the compound H3PO4. 2- Find the % composition by mass of each element in the compound N2O5. HONORS- % composition by mass quiz 1- Find the % composition by mass of each element in the compound hydrogen phosphate. 2- Find the % composition by mass of each element in the compound dinitrogen pentoxide. Determining Chemical Formulas empirical formula- consists of the symbols for the elements combined in a compound, with subscripts showing the smallest whole number mole ratio of the different atoms in the compound CH3 = empirical formula (does not exist) C2H6 = molecular formula (ethene) Empirical Formulas The formulas of ionic compounds are empirical formulas by the definition of ionic formulas. The formulas of molecular compounds may or may not be the same as its empirical formula. Calculating an Empirical Formula If the elements are in % composition by mass form, covert the percentages to grams. 2) Convert the masses of each element to moles by dividing the mass of the element by its molar mass. 3) Select the element with the smallest number of moles and divide the number of moles of each element by that number which will give you a 1:---:--- ratio. 4) IF the ratio is very close to a whole number ratio, apply the numbers to each element. If one of the number is not close to a whole number, use a multiplier to convert the ratio to a whole number ratio. 1) 1- If the elements are in % composition by mass form, covert the percentages to grams. e.g. C = 40.0% 40.0 g H = 6.67% 6.67 g O = 53.3% 53.3 g 2- Convert the masses of each element to moles by dividing the mass of the element by its molar mass. e.g. C = 40.0/12 = 3.33 mol H = 6.67/1 = 6.67 mol O = 53.3/16 = 3.33 mol 3- Select the element with the smallest number of moles and divide the number of moles of each element by that number which will give you a 1:---:--ratio. e.g. C = 3.33/3.33 = 1 H = 6.67/3.33 = 2 O = 3.33/3.33 = 1 4- IF the ratio is very close to a whole number ratio, apply the numbers to each element. If one of the number is not close to a whole number, use a multiplier to convert the ratio to a whole number ratio. e.g. 1:2:1 ratio CH2O Calculating an Empirical Formula Sample Problem L page 246. 32.38% Na, 22.65% S, & 44.99% O. 1- convert to 32.38 g Na, 22.65 g S, & 44.99 g O 2- 32.38 ÷ 22.99 = 1.408 mol Na 22.65 ÷ 32.07 = 0.7063 mol S 44.99 ÷ 16.00 = 2.812 mol O 3- 1.408 ÷ 0.7063 = 1.993 mol Na 2 0.7063 ÷ 0.7063 = 1 mol S 2.812 ÷ 0.7063 = 3.981 mol O 4 4- Rounding 2:1:4 Na2SO4 Calculating an Empirical Formula Review sample problem M on page 247. Do practice problems #1, 2, & 3 on page 247. Practice problem #1 page 247 63.52% iron (Fe) 36.48% sulfur (S) Convert % to grams: Fe = 63.52g S = 36.48g Divide each element by its molar mass: Fe = 63.52/55.8 = 1.14 mol S = 36.48/32.1 = 1.14 mol Divide each number of moles by the smallest number: Fe = 1.14/1.14 = 1 S = 1.14/1.14 = 1 Ratio = 1:1 so FeS is the empirical formula Practice problem #2 page 247 K = 26.56% Cr = 35.41% O = 38.03% K = 26.56/39.1 = 0.679 mol Cr = 35.41/52.0 = 0.681 mol O = 38.03/16.0 = 2.38 mol K = 0.679/0.679 = 1 Cr = 0.681/0.679 = 1.003 O = 2.38/0.679 = 3.51 1:1:3.5 ratio Double the ratio to get whole numbers 2:2:7 Empirical formula is K2Cr2O7 Practice problem #3 page 247. 20.0 g calcium & bromine 4.00 g Ca so 16.00 g Br Already in grams so divide by molar mass: 4.00/ 40.1 = .0997 mol Ca 16.00/79.9 = .2003 mol Br Ca = .0997/.0997 = 1 Br = .2003/.0997 = 2.009 2 Empirical formula is CaBr2 Ch 7 part 2 quiz #4 Empirical Formulas 1- A compound is 27.3% carbon and 72.7% oxygen by mass. What is the empirical formula of the compound? 2- A compound is 11.1% hydrogen and 88.9% oxygen. What is its empirical formula? Calculating a Molecular Formula molecular formula- the actual formula of a molecular compound (it may or may not be the same as the empirical formula of the compound) The molar mass of a compound is determined by analytical means & is given. 2) Calculate the formula mass of the empirical formula. Divide the molar mass of the compound by its empirical mass. 3) “Multiply” the empirical formula by this factor. 1) Calculating a Molecular Formula 1) 2) 3) 4) 5) empirical formula = P2O5 molecular mass is 283.89 empirical mass is 141.94 Dividing the molecular mass by the empirical mass gives a multiplication factor of : 283.89 ÷ 141.94 = 2.0001 2 2 x (P2O5) P4O10 Chapter 7 Problems Do practice problems #1 & 2 on page 249. Do section review problems #1-4 on page 249. Practice problem #1 page 249 empirical formula = CH formula mass = 78.110 amu empirical mass = ? = 12.0 + 1.0 = 13.0 amu molecular mass / empirical mass = 78.110/13.0 = 6.008 multiplication factor of 6 molecular formula = CH x 6 C6H6 Practice problem #2 page 249 formula mass = 34.00 amu 0.44 g H & 6.92 g O 1st find empirical formula: H = 0.44/1.0 = 0.44 O = 6.92/16.0 = 0.43 0.44/0.43 1 H & 0.43/0.43 1 O empirical formula = HO empirical mass = 17.0 formula mass / empirical mass = 34.00/17.0 = 2 HO x 2 H2O2 Section review problem #1 page 249. 36.48% Na 25.41% S 38.11% O 36.48/23.0 = 1.58 mol Na 25.41/32.1 = 0.792 mol S 38.11/16.0 = 2.38 mol O 1.58/0.792 = 1.995 2 0.792/0.792 = 1 1 2.38/0.792 = 3.005 3 2:1:3 Na2SO3 Section review problem #2 page 249. 53.70% Fe 46.30% S 53.70/55.8 = 0.962 mol Fe 46.30/32.1 = 1.44 mol S 0.962/0.962 = 1 Fe 1.44/0.962 = 1.50 S 1:1.5 doubled 2:3 Fe2S3 Section review problem #3 page 249 1.04 g K 0.70 g Cr 1.04/39.1 = .0266 mol K 0.70/52.0 = .0135 mol Cr 0.86/16.0 = .0538 mol O .0266/.0135 = 1.97 2 .0135/.0135 = 1 .0538/.0135 = 3.99 4 Empirical formula = K2CrO4 0.86 g O Section Review problem #4 page 249 4.04 g N 11.46 g O f.m. = 108.0 amu 4.04/14.0 = .289 mol N 11.46/16.0 =.716 mol O .289/.289 = 1 .716/.289 = 2.45 double ratio 2:5 N2O5 e.f.m. = 108 f.m./e.f.m. = 108/108 = 1 empirical formula is same as molecular formula N2O5 To find molar mass: add the masses of the elements in the formula of the compound. To find number of grams (mass): multiply # of moles times the molar mass of the compound. To find the number of moles: divide the number of grams by the molar mass of the compound. To calculate % composition by mass: 1- find the molar mass of a compound 2- divide the mass of each element by the molar mass of the compound 3- multiply by 100 to convert each ratio to a percent Calculating an Empirical Formula If the elements are in % composition by mass form, convert the percentages to grams. 2) Convert the masses of each element to moles by dividing the mass of the element by its molar mass. 3) Select the element with the smallest number of moles and divide the number of moles of each element by that number which will give you a 1:---:--- ratio. 4) IF the ratio is very close to a whole number ratio, apply the numbers to each element. If one of the number is not close to a whole number, use a multiplier to convert the ratio to a whole number ratio. 1) Calculating a Molecular Formula molecular formula- the actual formula of a molecular compound (it may or may not be the same as the empirical formula of the compound) The molar mass of a compound is determined by analytical means & is given. 2) Calculate the formula mass of the empirical formula. Divide the molar mass of the compound by its empirical mass. 3) “Multiply” the empirical formula by this factor. 1) Chapter 7 part 2 quiz #5 Calculating molecular formulas 1- A molecular compound has an empirical formula of CH3. Its molecular formula mass is 30 amu. What is the molecular formula of this compound? HONORS- Chapter 7 part 2 quiz #5 Calculating molecular formulas 1- A molecular compound is 80% carbon and 20% hydrogen. Its molecular formula mass is 30 amu. What is the molecular formula of this compound? Final Practice- chapter 7 part 2 1- Determine the molar mass of the compound Na3PO4 . 2- How many moles of CO2 are in 198 g ? 3- What is the mass of 2.25 moles of H2O ? 4- What is the % composition of each element the compound P4O10 ? 5- What is the empirical formulas of a compound that is 25.9% N and 74.1% O ? What is it molecular formula if its molecular mass is 216 ? of Final Practice- chapter 7 part 2 1- Determine the molar mass of the compound Na3PO4 . Na = 3 x 23.0 = 69.0 P = 1 x 31.0 = 31.0 O = 4 x 16.0 = 64.0 164.0 g/mol 2- How many moles of CO2 are in 198 g ? C = 1 x 12.0 = 12.0 O = 2 x 16.0 = 32.0 44.0 g/mol 198/44.0 = 4.5 mol CO2 3- What is the mass of 2.25 moles of H2O ? H = 2 x 1.0 = 2.0 O = 1 x 16.0 = 16.0 18.0 g/mol 2.25 mol x 18.0 g/mol = 40.5 g H2O 4- What is the % composition of each element the compound P4O10 ? P = 4 x 31.0 = 124.0 O = 10 x 16.0 = 160.0 284.0 g/mol P = 124/284(100) = 43.7% O = 160/284 (100) = 56.3% of 5- What is the empirical formulas of a compound that is 25.9% N and 74.1% O ? What is it molecular formula if its molecular mass is 216 ? N = 25.9/14.0 = 1.85 O = 74.1/16.0 = 4.63 N = 1.85/1.85 = 1 O = 4.63/1.85 = 2.5 1:2.5 doubled 2:5 so empirical formula = N2O5 e.f.m. = (2 x 14) + (5 x 16) = 108 216 (mfm)/108 (efm) = 2 2 x 2:5 4:10 N4O10 Honors Chemistry Chapter 7 part 2 test 38 multiple choice: Definition of formula mass & molar mass Calculate formula mass of a compound (3) Convert from mass to moles or moles to mass when given the amount & molar mass of a substance (7) Calculate % composition by mass (6) Definition & what an empirical formula represents Calculate empirical formulas (7) Know how to determine molecular formula from empirical formula and determine what the empirical fromula of a molecular formula would be Calculate molecular formula when given empirical formula & formula mass (7) Essay Question: ____ & ____ are examples of the empirical and the molecular formula of a compound, respectively. Explain the relationship between these two types of formulas. Chemistry Chapter 7 part 2 test review 24 multiple choice questions Definition of molar mass and formula mass Calculate a formula mass Interpret a molar mass Convert from mass to moles or moles to mass when given the molar mass of a compound (6) Calculate % composition by mass (3) Definition of empirical formula and what it represents (4) Calculate the empirical formula of compounds (3) What is needed to determine the molecular formula from an empirical formula Determine the molecular formula of a compound from its formula mass and the empirical formula (3) Essay Question: ____ & ____ are examples of the empirical and the molecular formula of a compound, respectively. Explain the relationship between these two types of formulas.