How do you determine the density from a graph of volume and mass? | Socratic
relationship between mass and volume of the substance. an object floats or sinks relative to another is directly related to its density, not its mass. As Figure. Mass, volume and density are three of an object's most basic properties. Mass is how heavy something is, volume tells you how big it is, and. Graphically, density is the slope of a graph of mass vs. volume. Slope is defined as a ratio of the change in y to the change in x and since the y-axis displays.
Dividing the mass by volume Therefore, the density of the object can be reported as 4.
A sphere with a diameter of 5. What is the density of the sphere?
Density of Water
The given diameter is 5. Using this radius and the aforementioned formula for volume, the sphere's volume is found to be cm3. The density is then found by dividing the mass Experimental Methods - Water Displacement Many, if not most, objects are not a regular geometric shape. Their density cannot be found using a ruler and a geometric formula. The method of water displacement can be used to determine the volume of the object. When the rock is submerged, the water level rises to What is the density of the rock?
The key to this problem is realizing that the increase in the water level is due to the addition of the rock. In fact, the increase in volume of water is exactly equal to the volume of the rock. In other words, the rock displaces a volume of water equal to itself. Subtracting the initial volume of water from the final volume of water Now the density formula from before can be utilized to find the density of the object.
Experimental Methods - Liquid Pressure Imagine a bottle filled with a liquid. As more liquid is added to the bottle, two measurements change in direct relationship to each other. They are the height and the mass of the liquid in the bottle. Since gravitataional acceleration is constant at least anywhere on Earth's surface the increase in mass also means there is an increase in weight, because weight is the result of gravity's influence on mass.
Pressure is a measure of a force exerted on the area of contact between two objects. 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.
Density - Theory, Experimental, and Graphical Methods
The pressure of a liquid can be used to find its density by the formula: The variable h represents the height of the liquid, in meters. Acceleration due to gravity, a value of 9. Finally, the density of the object can be found by solving for d. Realize that the units will be different from those discussed earlier.
Graphical Methods In a graph of mass vs. Recall that the density formula is a ratio of mass to volume, thus the slope is equivalent to the density.
Consider the data below: When plotted, best-fit lines are added and the slopes are displayed: Have students graph their results. Help students make a graph of the data on their activity sheet. The x-axis should be volume and the y-axis should be mass. When students plot their data, there should be a straight line showing that as volume increases, mass increases by the same amount.
Discuss student observations, data, and graphs. Use your graph to find the mass of 40 mL of water. What is the density of this volume of water? The mass of 40 mL of water is 40 grams. Choose a volume between 1 and mL. Use your graph to find the mass. Tell students that density is a characteristic property of a substance. This means that the density of a substance is the same regardless of the size of the sample.
Is density a characteristic property of water? How do you know? Density is a characteristic property of water because the density of any sample of water at the same temperature is always the same. Explore Project the image Density of Water. Water molecules all have the same mass and size. Water molecules are also packed pretty close together. They are packed the same way throughout an entire sample of water. So, if a volume of water has a certain mass, twice the volume will have twice the mass, three times the volume has three times the mass, etc.
No matter what size sample of water you measure, the relationship between the mass and volume will always be the same.