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Specific Gravity Formula - Definition, Formula, Solved Questions

Specific Gravity Formula: Specific gravity is a versatile concept with applications in various fields, Understanding its definition, formula, and practical use is essential.
authorImageMurtaza Mushtaq13 Oct, 2023
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Specific Gravity Formula

Specific Gravity Formula : Specific gravity, often denoted as SG, is a unitless measure that compares the density of a substance to the density of a reference substance, usually water. It provides valuable information about the relative density of a material and is a vital parameter in various scientific and industrial applications.

Specific gravity is a fundamental concept with various practical applications in science, engineering, and everyday life. Here are some reasons why we need to understand and use specific gravity:
  1. Buoyancy and Floatation: Specific gravity is crucial in determining whether an object will float or sink in a fluid. This property is vital in designing ships, submarines, and other floating structures.
  2. Purity and Quality Assessment: In various industries, specific gravity is used to assess the purity and quality of materials. It helps ensure that substances meet specific standards and criteria.
  3. Material Identification: Geologists and mineralogists use specific gravity to identify minerals. Different minerals have distinct specific gravity values, which aids in their classification.
In summary, specific gravity is a versatile parameter that finds applications in a wide range of industries and scientific disciplines. It helps ensure safety, quality, and efficiency in various processes and products, making it a crucial concept to understand and use in many professional fields.

Also Check - Critical Velocity Formula

Formula for Specific Gravity

Specific Gravity Formula: The specific gravity (SG) of a substance is calculated using the following formula: SG = (Density of Substance) / (Density of Water) In this formula, both the densities should be in the same units. Since the density of water is approximately 1 g/cm³ or 1000 kg/m³, you can compare the substance's density to this standard value.

Also Check - Impulse Formula

Solved Questions Of Specific Gravity Formula

Let's solve a few questions to understand how to apply the specific gravity formula.
  1. Question: A metal cube has a volume of 500 cm³ and a mass of 2.5 kg. Calculate its specific gravity.
Solution: SG = (Density of Metal) / (Density of Water) Density of Metal = Mass / Volume = 2.5 kg / 500 cm³ = 5 kg/cm³ SG = 5 kg/cm³ / 1 kg/cm³ = 5 The specific gravity of the metal cube is 5.
  1. Question: If the specific gravity of a substance is 0.85, what can you conclude about its density compared to water?
Solution: A specific gravity of 0.85 means that the substance is less dense than water. It will float in water.
  1. Question: The specific gravity of a mineral sample is 4.2. What is its density if water has a density of 1000 kg/m³?
Solution: SG = (Density of Mineral) / (Density of Water) Density of Mineral = SG × Density of Water = 4.2 × 1000 kg/m³ = 4200 kg/m³ The density of the mineral sample is 4200 kg/m³.

Also check - Rotatory Motion Formula

  1. Question: An object has a specific gravity of 0.6. Will it sink or float in water?
Solution: An object with a specific gravity of 0.6 will float in water since it is less dense than water.
  1. Question: A liquid has a specific gravity of 0.9. Calculate its density if the density of water is 900 kg/m³.
Solution: SG = (Density of Liquid) / (Density of Water) Density of Liquid = SG × Density of Water = 0.9 × 900 kg/m³ = 810 kg/m³ The density of the liquid is 810 kg/m³.
  1. Question: If the specific gravity of a substance is 2.5, will it sink or float in water?
Solution: An object with a specific gravity of 2.5 will sink in water since it is denser than water.
  1. Question: The specific gravity of a gas is 0.0012. What is the density of this gas if the density of air is approximately 1.225 kg/m³?
Solution: SG = (Density of Gas) / (Density of Air) Density of Gas = SG × Density of Air = 0.0012 × 1.225 kg/m³ = 0.00147 kg/m³ The density of the gas is 0.00147 kg/m³.
  1. Question: Calculate the specific gravity of a substance with a density of 3.8 g/cm³.
Solution: SG = (3.8 g/cm³) / (1 g/cm³) = 3.8 The specific gravity of the substance is 3.8.
  1. Question: If the specific gravity of a material is 10, will it float or sink in water?
Solution: An object with a specific gravity of 10 will sink in water since it is much denser than water.
  1. Question: A rock has a specific gravity of 2.7. If its volume is 500 cm³, what is its mass?
Solution: Mass = Specific Gravity × Density of Water × Volume Mass = 2.7 × 1 g/cm³ × 500 cm³ = 1350 grams The mass of the rock is 1350 grams.

Specific Gravity Formula FAQs

What is the significance of specific gravity in the context of buoyancy?

Specific gravity is crucial in determining whether an object will float or sink in a fluid. If the SG is greater than 1, the object will sink; if less than 1, it will float.

How does specific gravity relate to the strength of materials?

Specific gravity can indicate the purity and quality of materials. In some cases, higher specific gravity may correlate with greater strength.

Can the specific gravity of a substance change with temperature?

Yes, specific gravity can change with temperature as density is temperature-dependent. Accurate measurements should account for temperature variations.

Why is water commonly used as the reference substance for specific gravity?

Water's density is well-known and relatively constant, making it a practical reference point for specific gravity calculations.
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