The Value of density of water is ________.
Understanding the Density of Water
The question asks about the value of the density of water. Density is a fundamental physical property of matter that describes how much mass is contained within a specific volume. It is commonly expressed as mass per unit volume.
The formula for density ($\rho$) is:
$$\rho = \frac{\text{mass (m)}}{\text{volume (V)}}$$
The units for density are typically grams per cubic centimeter (gm/cm³) or kilograms per cubic meter (kg/m³).
Standard Value for Water Density
Pure water has a specific density value under standard conditions. The density of water can change slightly with temperature and pressure. However, at standard room temperature (around 20-25°C) and atmospheric pressure, the density of liquid water is approximately:
- 1 gram per cubic centimeter (1 gm/cm³)
- 1000 kilograms per cubic meter (1000 kg/m³)
The question and options use the unit gm/cm³.
Analyzing the Given Options
Let's look at the provided options for the density of water:
- 5 gm/cm³
- 0.5 gm/cm³
- 1 gm/cm³
- 10 gm/cm³
Comparing these options to the standard value of 1 gm/cm³ for the density of water, we can see which option matches.
Determining the Correct Density Value
Based on the standard value, the density of water at typical conditions is 1 gm/cm³. Therefore, the option that states 1 gm/cm³ is the correct value.
Solution Summary
The density of water is a well-known physical constant. At standard temperature and pressure, its value is 1 gm/cm³. Comparing this to the given options, the correct answer is 1 gm/cm³.
| Option | Value (gm/cm³) | Comparison to Standard Density (1 gm/cm³) |
|---|---|---|
| 1 | 5 | Different |
| 2 | 0.5 | Different |
| 3 | 1 | Matches |
| 4 | 10 | Different |
The option providing the value 1 gm/cm³ is the correct value for the density of water.
Revision Table: Key Concepts
| Concept | Definition | Typical Unit | Value for Water (approx.) |
|---|---|---|---|
| Density | Mass per unit volume | gm/cm³ or kg/m³ | 1 gm/cm³ or 1000 kg/m³ |
| Mass | Amount of matter | grams (gm) or kilograms (kg) | - |
| Volume | Amount of space occupied | cubic centimeter (cm³) or cubic meter (m³) | - |
Additional Information on Water Density
While 1 gm/cm³ is a commonly used value for the density of water, it's important to note that it is most accurate at 4°C. At this temperature, water reaches its maximum density. As temperature increases or decreases from 4°C, the density slightly decreases.
- Water's density at 0°C (freezing point): Approximately 0.9998 gm/cm³.
- Water's density at 100°C (boiling point): Approximately 0.9584 gm/cm³.
- The density of ice (solid water) is about 0.92 gm/cm³, which is why ice floats on liquid water.
- The value 1 gm/cm³ is a very good approximation for many everyday calculations and is often used as the standard reference value, especially in introductory science.
The question asks for "The Value" without specifying temperature, implying the standard or commonly used value, which is 1 gm/cm³.
Important Questions from Properties of Fluids
Specific Gravity of Mercury is ________.
The condition of "No-slip" at rigid boundaries is applicable to
One poise is equivalent to:
Dynamic viscosity has the dimensions as
One Poiseuille is equivalent to ________ poise.
