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Relative density of an oil is 0.8.Find t...

Relative density of an oil is `0.8`.Find the absolute density of oil in CGS and SI units.

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To find the absolute density of oil given its relative density, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Concept of Relative Density**: Relative density (also known as specific gravity) is defined as the ratio of the density of a substance to the density of a reference substance, typically water at 4°C. \[ \text{Relative Density} = \frac{\text{Density of Oil}}{\text{Density of Water}} \] 2. **Identify the Density of Water**: The density of water is approximately \(1000 \, \text{kg/m}^3\) or \(1 \, \text{g/cm}^3\). 3. **Use the Given Relative Density**: The relative density of the oil is given as \(0.8\). 4. **Calculate the Density of Oil in SI Units**: Using the formula for relative density, we can rearrange it to find the density of oil: \[ \text{Density of Oil} = \text{Relative Density} \times \text{Density of Water} \] Substituting the values: \[ \text{Density of Oil} = 0.8 \times 1000 \, \text{kg/m}^3 = 800 \, \text{kg/m}^3 \] 5. **Convert Density to CGS Units**: To convert from SI units (kg/m³) to CGS units (g/cm³), we use the following conversion factors: - \(1 \, \text{kg} = 1000 \, \text{g}\) - \(1 \, \text{m}^3 = 10^6 \, \text{cm}^3\) Therefore, \[ 800 \, \text{kg/m}^3 = 800 \times 1000 \, \text{g/m}^3 = 800000 \, \text{g/m}^3 \] Now, converting \(800000 \, \text{g/m}^3\) to g/cm³: \[ 800000 \, \text{g/m}^3 = \frac{800000 \, \text{g}}{10^6 \, \text{cm}^3} = 0.8 \, \text{g/cm}^3 \] ### Final Answers: - **Density of Oil in SI Units**: \(800 \, \text{kg/m}^3\) - **Density of Oil in CGS Units**: \(0.8 \, \text{g/cm}^3\)

To find the absolute density of oil given its relative density, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Concept of Relative Density**: Relative density (also known as specific gravity) is defined as the ratio of the density of a substance to the density of a reference substance, typically water at 4°C. \[ ...
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