Name ____________________________________ Date ________________________ Period _______ Empirical Formula Worksheet Empirical Formula – a formula showing the smallest whole-number mole ratio. 1. Convert the grams of each element to moles. 2. To find the simplest ratio, divide each element’s mole value by the smallest mole value. This will ensure a something to 1 ratio. 3. If the mole ratios are NOT all whole numbers, you must multiply a whole number in order to obtain a whole number ratio. 4. It is helpful to recognize decimal forms of common fractions and multiply by the denominator. Ex. 2.49 is close to 2 1/2 so multiply by 2 to get 5. 1. Give the decimal forms of the following common fractions: a. 1 /5 b. 1/4 c. 1/3 d. 1/2 e. 2/3 f. 3/4 2. A 15.0g sample of a compound is found to contain 8.83g sodium and 6.17g sulfur. Calculate the empirical formula of this compound. 3. Find the empirical formula of a compound that contains 53.70% iron and 46.30% sulfur. 4. Analysis of a 10.150g sample of a compound known to contain only phosphorus and oxygen indicates a phosphorus content of a 4.433g. What is the empirical formula of this compound. 5. A compound is found to contain 36.48% Na, 25.41% S, and 38.11% O. Find its empirical formula. 6. A compound is found to contain 63.52% iron and 36.48% sulfur. Find its empirical formula. 7. Qualitative analysis shows that a compound contains 32.38% sodium, 22.65% sulfur, and 44.99% oxygen. Find the empirical formula of this compound. 8. Find the empirical formula of a compound found to contain 26.56% potassium, 35.41% chromium and the remainder oxygen. 9. Analysis of a 20.0g sample of a compound containing only calcium and bromine indicates that 4.00g of calcium are present. What is the empirical formula of the compound formed? 10. A 60.00g sample of tetraethyl lead, a gasoline additive, is found to contain 38.43g lead, 17.83g carbon, and 3.74g hydrogen. Find its empirical formula. 1. 0.2 0.25 0.33 0.5 0.67 0.75 2. 8.83g Na 1 mol Na = 0.384 mol Na 23.0g Na 0.384 0.192 = 2 Na 6.17g S 1 mol S 32.1g S 0.192 0.192 =1S = 0.192 mol S Na2S 3. 53.70g Fe 1 mol Fe = 0.962 mol Fe 55.8g Fe 0.962 0.962 = (1 Fe) 2 46.30g S 1 mol S 32.1g S = 1.44 mol S 1.44 0.962 = (1.5 S) 2 1 mol P 31.0g P = 0.143 mol P 0.143 0.143 = (1 P) 2 = 0.357 mol O 0.357 0.143 = (2.5 O) 2 Fe2S3 4. 4.43g P 5.717g O 1 mol O 16.0g O P2O5 5. 36.48g Na 1 mol Na = 1.586 mol Na 23.0g Na 1.586 = 2 Na 0.7916 25.41g S 1 mol S 32.1g S = 0.7916 mol S 0.7916 =1S 0.7916 38.11g O 1 mol O 16.0g O = 2.382 mol O 2.382 =3O 0.7916 Na2SO3 6. 63.52g Fe 1 mol Fe = 1.138 mol Fe 55.8 g Fe 1.138 1.136 = 1 Fe 36.48g S 1.136 1.136 =1S 1 mol S 32.1g S = 1.136 mol S FeS 7. 32.38g Na 1 mol Na = 1.407 mol Na 23.0g Na 1.407 = 2 Na 0.7056 22.65g S 1 mol S 32.1g S = 0.7056 mol S 0.7056 =1S 0.7056 44.99g O 1 mol O 16.0g O = 2.811 mol O 2.811 =4O 0.7056 Na2SO4 8. 26.56g K 1 mol K 39.1g K = 0.6793 mol K 0.6793 = (1 K) 2 0.6793 35.41g Cr 1 mol Cr 52.0g Cr = 0.6810 mol Cr 0.6810 = (1 Cr) 2 0.6793 = 2.377 mol O 2.377 = (3.5 O) 2 0.6793 38.03g O 1 mol O 16.0g O K2Cr2O7 9. 4.00g Ca 1 mol Ca = 0.0998 mol Ca 40.1g Ca 0.0998 0.0998 = 1 Ca 16.0g Br 1 mol Br 79.9g Br 0.200 0.0998 = 2 Br = 0.200 mol Br CaBr2 10. 38.43g Pb 1 mol Pb = 0.1855 mol 207.2g Pb Pb 0.1855 = 1 Pb 0.1855 17.83g C 1 mol C 12.0g C = 1.486 mol C 1.486 =8C 0.1855 3.74g H 1 mol H 1.0g H = 3.74 mol H 3.74 = 20 H 0.1855 PbC8H20