Relative Density of Solid-to-Liquid
- Definition: Relative density (also known as specific gravity) is the ratio of the density of a substance to the density of a standard, typically water for liquids or solids. It is a dimensionless quantity.
- Given Data:
- Weight of solid in air = 200N
- Weight of solid in water = 160N
- Weight of solid in liquid = 170N
- Calculations:
- Buoyant force in water = Weight in air - Weight in water = 200N - 160N = 40N
- Buoyant force in liquid = Weight in air - Weight in liquid = 200N - 170N = 30N
- Explanation:
- The buoyant force acting on an object in a liquid is equal to the weight of the liquid displaced by the object.
- Using the formula for relative density:
- Relative density of solid-to-water = Weight in air / (Weight in air - Buoyant force in water) = 200N / (200N - 40N) = 200N / 160N = 1.25
- Relative density of solid-to-liquid = Weight in air / (Weight in air - Buoyant force in liquid) = 200N / (200N - 30N) = 200N / 170N = 1.176
- Conclusion:
- The relative density of solid-to-liquid is 1.176. This means that the density of the solid is 1.176 times the density of the liquid.