EXPLOSIVE CHEMISTRY O2N H C H C C C C O2N C NO2 H2C O NO2 H2C O NO2 H2C O NO2 C N C N O2N C NITROGLYCERIN H2 N H2 CH3 TNT NO2 H2 NO2 RDX As you saw in the movie “Ka-Boom!”, putting nitro groups (-NO2) on a hydrocarbon is a good way to store a lot of chemical potential energy in a molecule. In this exercise you’ll apply some of the chemistry we’ve been using this quarter to three high explosives that contain nitro groups: TNT (short for trinitrotoluene), nitroglycerin, and RDX (short for cyclotrimethylenetrinitraime). 1. Use the structural formulas given above to write molecular formulas for each explosive. Then determine the molar mass and % nitro for each explosive. 2. For each reaction write a balanced chemical equation with state symbols. a. Solid TNT combines with oxygen gas to form carbon dioxide gas, nitrogen gas, and water vapor. b. Liquid nitroglycerin decomposes into carbon dioxide, nitrogen, and water vapor (all gases). c. RDX decomposes into carbon monoxide, water vapor, and nitrogen gas. 3. Explosives get their shattering power by rapidly producing large volumes of gas for a given volume of explosive. a. How many moles of gas are produced for one mole of TNT? of nitroglycerin? of RDX? b. Mole for mole, gases take up about 800x the volume of liquids or solids, at room temperature. Producing gases at high temperatures expands them 8x more than the space they’d occupy at room temperature. For every cc of TNT how many cc of gas are produced? for nitroglycerin? for RDX? 4. The heat of combustion of TNT is 820.7 kcal/gram, and for nitroglycerin its 368.4 kcal/gram. a. Convert these values from kcal/gram to kcal/mole. b. How do these values compare to the heat of sugar, which is 669 kcal/mole? ANSWERS 1. TNT = C7H5N3O6; molar mass = 227.1 g; %NO2 = 60.8% nitro = C3H6N3O9; molar mass = 228.1 g; %NO2 = 60.5% RDX = C3N3H6N3O6; molar mass = 222.1 g; %NO2 = 62.1% 2. (TNT) 4 C7H5N3O6 (s) + 21O2 (g) 28 CO2 (g) + 10H2O (g) + 6N2 (g) (nitro) 2 C3H6N3O9 (l) 6CO2 (g) + 3N2 (g) + 6H2O (g) (RDX) C3N3H6N3O6 (s) 3CO (g) + 3H2O (g) + 3N2 (g) 3. (a) 4 moles TNT 28+10+6 = 44 moles gas; 44/4 = 11 moles gas per mole of explosive 4 mole Nitro 6+3+6 = 15 moles gas; 15/2 = 7.5 moles gas per mole of explosive 1 mole RDX 3+3+3 = 9 moles gas per mole of explosive 4. (b) 800x for gas AND 8x for volume = 6400x expansion per mole TNT = 6400 x (11 moles gas/1 mole explosive)= 70,400cc gas per cc TNT nitro = 6400 x (7.5 mol. gas/1 mol. explosive) = 48,000 cc gas per cc nitro RDX: 6400 x (9 mol. gas/1 mol. explosive) = 57,600 cc gas per cc of RDX 5. (a) 820.7 kcal/1 g TNT * (227.1 g/mole) = 186,300 kcal/mole 368.4 kcal/g nitro * (228.1 g/1 mole) = 84,030 kcal/mole 5. (b) TNT releases 186,300 kcal /669 kcal = 278x more energy per molecule than glucose; nitroglycerin releases 84,030 kcal/669 kcal = 126x more energy per molecule than glucose