To find the mass of an object using its relative density, you need to follow a series of steps involving the density of water and the object's volume. Here’s how you do it:
Steps to Calculate Mass from Relative Density
Here's a breakdown of the process, incorporating the provided reference:
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Understand Relative Density: Relative density (also called specific gravity) is the ratio of the density of a substance to the density of a reference substance, which is typically water. Water's density is 1000 kg/m³.
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Calculate the Density of the Object:
- Multiply the relative density by the density of water (1000 kg/m³). This gives you the object's absolute density.
- For example, if relative density is 2, then density of the object is 2 * 1000 = 2000 Kg/m³.
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Calculate the Mass:
- Use the formula: mass = density × volume
- Multiply the object's density by its volume.
- For example, using the density from previous example (2000 Kg/m³) and assuming a volume of 0.5 m³, the mass of the body is 2000 * 0.5 = 1000 Kg.
Example Calculation
Let's illustrate with an example based on the reference:
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Step 1: Given Data
- Volume of body = 0.5 m³
- Let's assume Relative density = 2
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Step 2: Calculating Density of the body
- We know the density of water = 1000 kg/m³.
- Density of body = Relative density * density of water
- Density of body = 2 * 1000 kg/m³ = 2000 kg/m³
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Step 3: Calculating mass of the body
- mass of the body = density × volume.
- mass of the body = 2000 kg/m³ * 0.5 m³ = 1000 kg.
Practical Insights
- Units are Important: Make sure all units are consistent (e.g., volume in m³, density in kg/m³, mass in kg).
- Reference Density: The reference density is usually water at 4°C, with density approximately 1000 kg/m³.
- Applications: This method is used across various fields like material science, engineering, and even everyday measurements to determine the mass of objects using relative density.
Summary
To find mass from relative density, you first calculate the density of the object by multiplying the relative density by the density of water, then you multiply this calculated density by the volume of the object to determine the mass.
