## Density formulaThe density of a substance is defined as The symbol of density is M is the V is the Thus, the unit of The density formula was discovered by Different materials exhibit different densities. For example, Here, we will discuss examples of ## Examples of densityHere, we will discuss the least and most dense materials. Dense materials are hard materials. For example, a material with stuff or strong packaging in the space is denser than the loose packing material. The denser materials are categorized as The materials with low density are categorized as grapheme, hydrogen, etc. These materials have the lowest atomic weight and thus the least density. Let's discuss the density of We know that the atoms of the Let's consider the densities of few substances. It is shown in the below table.
The above table clearly depicts the densities of various substances, where ## Measurement of densityWe have discussed the density formula, and the density of materials. But, do we know that how the density is measured? Let's discuss this in detail. The main method to determine the density of a substance is to But, how can we measure the mass of the gas? We can use the concept of molar mass to measure the gas density. Another method to determine the density of liquids is the device called a ## Units of densityDensity = Mass/volume The unit of mass is kg and the unit of volume in meter cube. Thus, the unit of density = kilograms/meter cube = = kilograms per meter cube. ## Other unitsThe S.I unit of density is kilograms per meter cube, but we can also express it with other units. S.I or the International System of Units is the only official system of measurement whose units are accepted worldwide. Other units of density are as follows: - Kilograms per liter (Kg/L).
- One gram per centimeter cube (1 gm / cm^3).
- Gram per Milliliter (gm / mL).
- Kilogram per cubic decimeter (Kg / dm^3)
- Metric ton per cubic meter (t/m^3).
- Lb/ft^3.
## Dimensional formula of densityAs discussed, density is defined as the ratio of mass and volume. Density = Mass/volume The dimensional unit of mass is M, while of volume is L^3. Density = M/L^3 = Let's discuss numerical examples and Multiple Choice Questions related to density formula for better understanding. ## Numerical ExamplesConsider the following numerical examples.
Mass = 200g = 200/1000 = 0/2kg Volume = 5.5 m^3 Density =mass/volume Density = 0.2/5.5 = 0.36 kg/m^3. Thus, the density of the substance is
The given parameters are: Mass = 500 g Edge length = 10cm. Volume of a cube = (edge length)^3 = 10 x 10 x 10 = 1000cm^3 Density of the cube = mass/volume =500/1000 =
The given parameters are: Mass = 500 g = 500/1000 =0.5kg (1000g = 1kg) Edge length = 10cm = 10/100 = 0.1m (1m = 100cm) Volume of a cube = (edge length)^3 = 0.1 x 0.1 x 0.1 = 0.001 m^3 Density of the cube = mass/volume = 0.5 / 0.001 = We can also compute the direct formula to convert g/cm^3 into kg/m^3.
It is given by:
So, 0.5 g/cm^3 = 1000 x 0.5 = 500 kg/m^3
Mass = 100g Radius = 2cm The shape of a ball is similar to that of sphere. So, the volume of a sphere is given by: So, volume = 33.52 cm^3 Density = mass/ volume = 100 / 33.52 = 2.98 g/cm^3 Thus, the density of the solid ball is 2.98 g/cm^3.
Solution: The given parameters are as follows: Density: 3500 kg/m^3 Volume = 0.01 m^3 We know that the density = mass/ volume So, mass = density x volume Mass = 3500 x 0.01 = Thus, the mass of the substance is 35 Kilograms. ## MCQs based on density formulaLet's discuss some Multiple Choice Questions on density formula. 1) The unit of density is: - Kg/cm^3
- g/m^2
- kg/m^3
- kg/m^2
2) Densities of which substances do not change with pressure. - Solids, gases
- Solids, liquids
- Liquids, gases
- All of the above
3) The density of air in kg/m^3 is: - 2.0
- 1.63
- 1.2
- 2.5
4) The density of a substance is 3.45 g/cm^3. What is the density in kg/m^3? - 3450 kg/m^3
- 345 kg/m^3
- 34.5 kg/m^3
- 0.0345 kg/m^3
So, 3.45 g/cm^3 = 3.45 x 1000 = 3450 kg/m^3 Thus, the correct answer is an option (a). 5) Mass divided by volume is called: - Force
- Density
- Mole fraction
- None of the above
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