Direct density is found by using the relationship between an object's mass and volume. This relationship is expressed in the following equation:
Density Equation
Density = mass/volume
Understanding the Equation
- Density: This indicates how much "stuff" is packed into a given space.
- Mass: This is the amount of matter in an object, often measured in grams (g).
- Volume: This is the amount of space an object occupies, often measured in milliliters (ml) or cubic centimeters (cc).
Steps to Determine Density Directly
Here's a step-by-step approach for finding direct density:
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Measure the Mass:
- Use a balance or scale to determine the mass of the object accurately.
- Record the mass in grams (g).
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Measure the Volume:
- For a regularly shaped object (e.g., a cube or a rectangular prism), you can measure the length, width, and height, then calculate the volume using formulas:
- Cube: Volume = side side side
- Rectangular Prism: Volume = length width height
- For irregularly shaped objects, use displacement method:
- Fill a graduated cylinder with a known volume of liquid (e.g., water).
- Carefully place the object into the liquid.
- Note the new volume reading.
- Subtract the initial volume from the new volume to find the object's volume in milliliters (ml) or cubic centimeters (cc) since 1 ml = 1 cc.
- Record the volume in milliliters (ml) or cubic centimeters (cc).
- For a regularly shaped object (e.g., a cube or a rectangular prism), you can measure the length, width, and height, then calculate the volume using formulas:
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Calculate the Density:
- Use the density equation: Density = mass/volume
- Divide the mass (in grams) by the volume (in ml or cc).
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Report the Density:
- The final answer will be in grams per milliliter (g/ml) or grams per cubic centimeter (g/cc).
Example
Let's calculate the density of a rock.
- Mass of rock: 150 g
- Volume of rock (measured by water displacement): 75 ml
Using the density equation:
Density = 150g / 75ml = 2 g/ml
Therefore, the rock's density is 2 g/ml.
Key Points
- Density is an intrinsic property, which means it does not depend on the amount of the substance.
- The standard units for density are grams per milliliter (g/ml) or grams per cubic centimeter (g/cc).
- Accurate measurements of mass and volume are crucial to getting an accurate density calculation.