DETERMINATION OF The DENSITY of LIQUIDS & SOLIDS Density of a substance is its mass per unit volume density = mass/volume Density (solid) can be determined by weighing solid & then measuring the volume it occupies. Volume can be determined by: measuring the dimensions of the solid and calculating its volume, or by measuring the volume of liquid that is displaced by the solid. 9/2/2019 Mona Kanj 1 Density Connections Mass Volume kg L g mL (cm3) mg 9/2/2019 Mona Kanj 2 Density = Mass Volume Solids & Liquids g/mL Gases g/L 9/2/2019 Mona Kanj 3 Volume – SI derived unit for volume is cubic meter (m3) 1 cm3 = (1 x 10-2 m)3 = 1 x 10-6 m3 1 dm3 = (1 x 10-1 m)3 = 1 x 10-3 m3 1 L = 1000 mL = 1000 cm3 = 1 dm3 1 mL = 1 cm3 9/2/2019 Mona Kanj 4 1.7 EXPERIMENTAL PROCEDURE I. Determination of the density of a regular solid Unknown solid, vernier caliper Record the number of the unknown, Weigh the solid on the electric balance. Measure the solid dimensions (length diameter), using the calipers Calculate the volume of the solid Calculate the density of the unknown solid. and If the density from the second trial is approximately the same as the first trial (within 1 %), calculate the average density. 9/2/2019 Mona Kanj 5 If the second number differs greatly from the first one, do the experiment a third time. Calculate the average of the two best results. D = mass volume = g mL or g cm3 Note: 1 mL = 1 cm3 9/2/2019 Mona Kanj 6 © Instructor : Mrs. Mona Kanj EL-Harakeh Unknown Cubic Solid Trial 1 Trail 2 Mass of solid Precision Length Precision Width Precision Height Precision Volume of solid (Calculated) L*W*H L*W*H Density of solid D1 D2 9/2/2019 Average density ± 0.0001g ± 0.0001g ± 0.002cm ± 0.002cm ± 0.002cm ± 0.002cm ± 0.002cm ± 0.002cm Kanj D = DMona +D 1 2/ 2 7 Reading Vernier Caliper Read the centimeter mark on the fixed scale to the left of the 0-mark on the vernier scale. (2 cm on caliper seen above) Find the mm mark on the fixed scale that is just to the left of the 0-mark on the vernier scale. (2.6 cm) Look along the ten marks on the vernier scale and the millimeter marks on the adjacent fixed scale, until you find the two that most nearly line up. (0.04cm) To get the correct reading, simply add this found digit to your previous reading. 9/2/2019 Mona Kanj 8 Reading: 2.64 The Vernier caliper is a versatile tool. It can measure the outside diameter or width of an object. It can measure the inside diameter or width of an object. It can measure the depth of an object. 9/2/2019 Mona Kanj 9 2.13 2.00 2.34 9/2/2019 Mona Kanj 10 9/2/2019 reading is 3.47 Mona Kanj 11 II.Determination of the density of an irregular solid Unknown solid of irregular shape. Record the kind of the unknown. Weigh the solid on the electric balance. Pour distilled water into a 50 ml graduated cylinder to approximately the 15-ml mark. Read the level of the water accurately to the nearest ± 0.5 ml Be careful not to let the solid hit the bottom too hard, it might break the glass. avoid having air bubbles trapped by the solid. Read the new level of the water Determine the volume of the solid by subtracting the water level readings before and after the solid was 9/2/2019in the water. Mona Kanj 12 placed Calculate the density of the unknown irregular solid. Repeat the above procedures (II-1) through (II-4), after drying the irregular solid with a paper towel. If the density from the second trial is approximately the same as the first one (within 1 %), calculate the average density. If the second number differs greatly from the first one, repeat the experiment for a third time. Reject the density that differs most from the other two. Calculate the average of the best two results. Return the unknown to the instructor. 9/2/2019 Mona Kanj 13 Volume Displacement • A solid displaces a matching volume of water when the solid is placed in water. 15ml H2O 9/2/2019 26.5 ml H2O Mona Kanj 14 9/2/2019 Mona Kanj 15 III. Determination of the density of an unknown liquid Obtain an unknown liquid from your instructor. Record the number of the unknown and all measurements and calculations on the Report Sheet. Clean a 10-ml volumetric flask with acetone inside the fume hood and leave it for five minutes to dry. Dispose of the acetone in the waste bottle in the hood. Weigh the dry volumetric flask (with stopper). Rinse the volumetric flask with 3 or 4 ml of the unknown liquid, and discard the rinse liquid into the "waste" beaker in the fume hood. Fill the volumetric flask with the unknown liquid exactly up to the mark. 9/2/2019 Mona Kanj 16 Weigh both the stoppered flask and the liquid together. Calculate the density of the unknown liquid, and discard the unknown liquid into the waste bottle in the fume hood. 9/2/2019 Mona Kanj 17 Density (liquid) is determined by weighing a known volume of the liquid. density = mass/volume A volumetric flask is a glass container, which holds a defined volume of liquid. The mass of the liquid is determined by weighing the volumetric flask first empty and then full of the liquid. The density can be calculated from the mass and volume. Volume of a liquid changes with its temperature, it is necessary to keep a record of the temperature at which densities are measured. 9/2/2019 Mona Kanj 18 Unknown Irregular Solid Mass of solid Precision Volume of water without solid Precision Volume of water with solid Precision Volume of solid Density of solid Average density 9/2/2019 Trial 1 Trail 2 ± 0.0001g ± 0.0001g ± ml ± ml ± ml ± ml D1 D2 D = D1 +D2 / 2 Mona Kanj 19 Unknown Liquid Trial 1 Mass of flask + stopper Precision ± 0.0001 g Mass of flask + stopper + liquid Precision ± 0.0001 g Mass of liquid Volume of liquid Precision Density of liquid (with 9/2/2019# Sig. Figs) correct ± Mona Kanj ml 20