Formula of a Hydrate What is a hydrate? • An ionic compound that contains water molecules in its structure • The formula states how many mol of water molecules per one mol of ionic compound • Example: CuSo4 5 H20 Copper sulfate pentahydrate What is an anhydrate? • The substance that remains after the water is removed from a hydrate • Example: CuSo4 Anhydrous Copper sulfate Prefixes 1 mono 2 di 3 tri 4 tetra 5 penta 6 hexa 7 hepta 8 octa 9 nona 10 deca Steps to find formula 1. Identify what’s given: A. Hydrate/anhydrate (go to step 2) B. Anhydrate/water (skip to step 3) 2. If given hydrate and anhydrate, subtract to get water 3. Convert mass of anhydrate and water to moles of each, respectively 4. Find the ratio of water to anhydrate (in moles) 5. Write the formula; ionic compound followed by ratio of water 6. Name the compound Example 1 A calcium chloride hydrate has a mass of 4.72g. After heater for several minutes the mass of the anhydrate is found to be 3.56g. Determine the formula and name of the hydrate. 2+ Cl− Calcium chloride: Ca Step 2: 4.72g hydrate − 3.56g anhydrate CaCl2 1.16g H2O Step 3: 3.56g CaCl2 1mol CaCl2 = 0.0321 molCaCl 2 110.98g CaCl2 1.16g H2O 1mol H2O = 0.0644 mol H2O 18.02g H2O SIG FIGS IN ANSWER MUST MATCH GIVEN!! Step 4: Ratio 0.0644 mol H2O 0.0321 mol CaCl2 ≈2 Step 5: CaCl2 2H2O Step 6: calcium chloride dihydrate Example 2 A 15.67 g sample of a hydrate of magnesium carbonate was heated, without decomposing the carbonate, to drive off the water. The mass of the anhydrate was found to be 7.58 g. What is the formula and name of the hydrate? Step 2: 15.67g hydrate − 7.58g anhydrate 8.09g H2O Magnesium carbonate: Mg2+ CO32− MgCO3 Step 3: 3.56g MgCO3 1mol MgCO3 = 0.0899 molMgCO 3 84.32g MgCO3 8.09g H2O 1mol H2O = 0.449 mol H2O 18.02g H2O SIG FIGS IN ANSWER MUST MATCH GIVEN!! Step 4: Ratio 0.449 mol H2O 0.0899 mol CaCl2 ≈5 Step 5: MgCO3 5H2O Step 6: magnesium carbonate pentahydrate Example 3 What is the formula an name for a hydrate which consists of 76.9% CaSO3 and 23.1% H2O? Step 3: 76.9g CaSO3 1mol CaSO3 = 0.640 mol CaSO3 120.15g CaSO3 23.1g H2O 1mol H2O 18.02g H2O = 1.28 mol H2O SIG FIGS IN ANSWER MUST MATCH GIVEN!! Step 4: Ratio 1.28 mol H2O 0.640 mol CaSO3 Step 5: CaSO3 2H2O Step 6: calcium sulfite dihydrate ≈2 Example 4 What is the formula an name for a hydrate which consists of 51.77% NiSO4 and 48.23% H2O? Step 3: 51.77g NiSO4 1mol NiSO4 = 0.3345 mol NiSO4 154.67g NiSO4 48.23g H2O 1mol H2O 18.02g H2O = 2.676 mol H2O SIG FIGS IN ANSWER MUST MATCH GIVEN!! Step 4: Ratio 2.676 mol H2O 0.3345 mol CaSO3 ≈8 Step 5: NiSO4 8H2O Step 6: nickel sulfate octahydrate