For a liquid contained in a bottle, the pressure exerted by the liquid is equal to its weight divided by the surface area of the bottom of the bottle. Find the mass in grams of each cube using a scale or balance. Note: Students often confuse volume and area. The American Chemical Society is dedicated to improving lives through Chemistry. Make sure they understand that area is measured in two dimensions (length × width) with an answer in cm2. This reduces its density to a value below that of the water, causing blobs of oil to rise to the top of the container. Consider the following problem: View bio. Alkanes • Conceptually, density is best described as the compactness of a material. Each substance has its own characteristic density because of the size, mass, and arrangement of its atoms or molecules. The density of an object equals its total mass divided by its total volume. All rights reserved. Typically, the only consideration that must be made with mass is in grams. Most of us have long understood that "oil is lighter than water", or that iron is "heavier" than sugar. Are you loving this? Using this radius and the aforementioned formula for volume, the sphere's volume is found to be 316 cm3. Point out that the copper atoms are slightly smaller than aluminum atoms. Have questions or comments? Remind students that they looked at cubes that had the same volume but different masses. When the lamp is turned on, a heat source (usually an incandescent light bulb) concealed in the base of the container heats the oil phase. Mathematically, density is expressed as a ratio of mass to volume. However, their calculations will be close enough that they should be able to identify most of the cubes. Pressure is a measure of a force exerted on the area of contact between two objects. Tagalog • Copyright © 2020 American Chemical Society. Doing so gives a volume of 56.3 cm3. Deutsch • Periodic Table • Not loving this? Put another way, density is the ratio between mass and volume or mass per unit volume. Have students use any balance that can measure in grams. The method of water displacement can be used to determine the volume of the object. the plots all have the same origin of (0,0): if the mass is zero, so is the volume; the plots are all straight lines, which signify direct proportionality. These plots show how the masses of three liquids vary with their volumes. The mass of atoms, their size, and how they are arranged determine the density of a substance. © 2008 - 2020 Mr. Everett and chemistry-reference.com. The volume of a sphere can be found from the formula V = 4πr3, where r is the radius of the sphere. The Explain It with Atoms & Molecules and Take It Further sections of the activity sheet will either be completed as a class, in groups, or individually, depending on your instructions. The composition of the oil phase is such that its density is slightly greater than that of water at room temperature, so it normally resides at the bottom of the container. The volume of each cube is the same, 15.6 cm3, and is given in their chart on the activity sheet. Less dense materials have a smaller concentration of mass in a given volume, or a mass spread out over a large volume of space. Students will be able to explain that the size, mass, and arrangement of the atoms or molecules of a substance determines its density. Slope is defined as a ratio of the change in y to the change in x and since the y-axis displays mass and the x-axis volume, the slope is a ratio of the change in mass to change in volume, or density. This can be deduced from the definition of slope, δy/δx. Titration • Calculate the density using the formula D = m/v and record it in the chart. Students are then given cubes of different materials that all have the same volume. In general, the density of wood and plastic are similar because they are made of similar atoms arranged in long chains. Sample B atoms might be arranged differently so more Sample B atoms than Sample A atoms fit in the same size cube. The activity sheet will serve as the “Evaluate” component of each 5-E lesson plan. The pressure of a liquid can be used to find its density by the formula: In this formula, P represents the pressure of the liquid, measured in pascals (Pa). The volumes of gases, as you may already know, are highly temperature-sensitive, and so, of course, are their densities. Reactions • The density of this polymer ranges from 930 kg/m 3 to 930 kg/m 3. The copper cube will have a greater mass than the aluminum cube. The difference in density is mostly based on the arrangement and packing of the polymer chains. Since the mass coordinate points are plotted on the y-axis and volume coordinate points on x, substitutions can be made and the slope formula becomes δmass/δvolume. The LibreTexts libraries are Powered by MindTouch® and are supported by the Department of Education Open Textbook Pilot Project, the UC Davis Office of the Provost, the UC Davis Library, the California State University Affordable Learning Solutions Program, and Merlot. Key Concepts. Density (symbol: ρ - Greek: rho) is a measure of mass per unit of volume. In a graph of mass vs. volume, the slope of the best-fit line made from the points gives the density of that object. The density range of solids is quite wide. Write the name of the material in your chart for cubes A–H. Students will use a metric ruler in the engage portion of the activity when they measure the length, width, and height of a cube along with you. Composite materials such as wood and high-density polyurethane foam contain void spaces which reduce the average density. The singularity at the centre of a black hole, according to general relativity, does not have any volume, so its density is undefined. The only difference between these plots is their slopes. When the rock is submerged, the water level rises to 56.8 mL. Since the mass coordinate points are plotted on the y-axis and volume coordinate points on x, substitutions can be made and the slope formula becomes δmass/δvolume. Cubes marked A–H that you will share with other groups, Copper cube and aluminum cube of the same volume. Even a very large mass of gas (e.g. Explain to students that each substance has its own density because of the atoms and molecules it is made from. Density is the amount of matter in an object compared to its volume (the amount of space it takes up). Stephen Lower, Professor Emeritus (Simon Fraser U.) Expected results: Student values for density for each cube will not be exact, but will be close enough that they should be able to identify each of the cubes. Dividing 78.19 g by 6.8 mL yields a density for the rock equal to 11 g/mL.

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