Name Period MEASUREMENT OF MASS AND DENSITY Mass refers to the quantity of matter composing an object. To find the mass of an object, we usually compare its mass with the mass of objects of known mass. You will use a centigram balance to determine mass. Mass density, p (rho), is mass per unit volume. To determine the mass density of a material, the mass of a sample of the material is divided by its volume. Date # liP Lab 1 Equipment graduated cylinder centigram balance string metric ruler wood blocks box of steel paper clips solid object of irregular shape or a hooked weight of known composition Objectives During this investigation you will become familiar with the methods used to measure mass and density. practice the use of significant digits. Proced ure A. Mass of One Paper Clip 1. Inspect your centigram balance. Make sure that all riders are on zero. Gently touch a platform to make the balance oscillate. The pointer should swing about the same distance on either side of the center mark of the scale. If it does not, adjust the movable nut until it does. 2. Place one paper clip on the balance and measure its mass to the nearest hundredth of a gram (0.01 g). Repeat this procedure twice, using a different paper clip from the same box each time. Record your values for the mass of each of the three paper clips in Table 2-1. Calculate and record the average of your three measurements to the nearest hundredth of a gram in Table 2-1. 3. Now place 10 paper clips on the balance and measure their total mass. Calculate the average mass of one paper clip. Record all the information to the nearest hundredth of a gram in Table 2-2. 4. Repeat Step 3, increasing the number of clips on the balance by groups' of 10 until you have a total of 50 clips on the balance. Record the data in Table 2-2. B. Density 1. Measure and record the mass of the empty graduated cylinder. Add water until the cylinder is half full. Measure the mass of the cylinder plus water. From this information, calculate the mass of the water only. Record this value in Table 2-3. 2. Observe the level of the water in the graduated cylinder. To avoid introducing an error due to parallax, the scale on the cylinder should be read straight on at the water level (Figure 2-1). Estimate the volume of the water to the nearest tenth of a cubic centimeter (0.1 cm3). Record this in Table 2-3. Calculate the density of water. 9 Meniscus 3. Tie as many paper clips to a piece of string as will fit easily into the graduated cylinder half full of water. Lower the clips into the water until they are completely immersed. Dislodge any air bubbles that remain attached to the paper clips by gently shaking the string. Read the new water level in the cylinder (Figure 2-1). Count the number clips you used. Record all data in Table 2-4. 4. Determine the total volume of the clips tied to the string. From the total volume of the clips and the total number of clips tied to the string, calculate the volume of a single paper clip. Enter this value in Table of 2-4. Figure 2-1. Hold or place the cylinder so that the liquid is at eye level. Read the lower portion of the curved surface (meniscus). 5. Use the average mass of a single clip as determined in Table 2-2 (for 50 clips) as the mass of the clip. Calculate the density of one paper clip and record this information in Table 2-4. 6. Measure the length, width, and height of a wood block in centimeters and calculate its volume. Using the centigram balance, measure the mass of the block. Enter your measurements in Table 2-5. Calculate and record the density of the wood. 7. Using the graduated cylinder half full of water, measure the volume of the solid object of irregular shape just as you measured the volume of the paper clips in Step 3. Using the balance, measure the mass of the object. Enter these values in Table 2-6. Calculate and record the density of the solid. Data and Calculations Table2-1 Data Mass (g) Trial First clip Second clip Third clip Average mass of one paper clip Table 2-2 Data Number of clips 10 20 30 40 50 10 Total mass (g) Calculations Average mass of one paper clip Name Date Period Table 2-3 Data Mass of empty cylinder Mass of cylinder and water Volume of water Calculations Mass of water ~nj;if<.t ~of water Table 2-4 Data Volume of water (Table 2-3) Volume of water and clips Number of clips Mass of 1 clip (Table 2-2) Calculations Total volume of clips Volume of 1 clip Density of 1 clip Table 2-5 Data Length of block Width of block Height of block Mass of block Calculations Volume of block Density of block 11 Table 2-6 Data Volume of water Volume of water and object Mass of object Calculations Volume of object Density of object Interpreta tion 1. How well does your average of the measurements of the mass of individual clips in Table 2-1 compare with the average mass of the clips shown in Table 2-2? Which measurement do you think most closely approximates the mass of a paper clip? Why? 2. From Table 2-2, what can you assume about the masses of the clips? 3. In Table 2-3, compare your calculated values for density with the currently accepted values. Explain any differences. 4. Look up the density of steel in a handbook. Compare the published value with the density of a paper clip that you determined in Step5 of the Procedure. Explain any differences. CLICK HERE TO SUBMIT 5. A full box of paper clips is supposed to contain 100 clips. Remove the clips from the box and put all of the clips on.the balance. Measure their mass. Using your average value for a single clip, determine the number of clips that were in the box. Check your answer by actually counting the clips. 6. Predict the mass of 25,35, and 70 paper clips. Record below. Verify your predictions by actual measurements. 12
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