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Question

Which among the following has the highest density at the room temperature?

This question was previously asked in
SSC Stenographer 2019 Previous Year Paper (24-Dec-2020) (Shift 2)
The correct answer is

Water

Finding the Highest Density Liquid at Room Temperature

The question asks us to identify which substance among the given options has the highest density at room temperature. Density is a fundamental physical property of matter that tells us how much mass is contained within a given volume. It is calculated using the formula:

\(\text{Density} = \frac{\text{Mass}}{\text{Volume}}\)

Substances with higher density are 'heavier' for the same volume compared to substances with lower density.

Understanding Density and Room Temperature

Density can vary with temperature and pressure, especially for gases and liquids. 'Room temperature' is generally considered to be around 20-25 degrees Celsius (\(20-25^\circ\text{C}\)). We need to compare the densities of Coconut oil, Water, Mustard oil, and Olive oil at this temperature range.

Comparing Densities of the Given Liquids

Let's look at the approximate densities of the substances provided in the options at room temperature:

  • Coconut oil: Coconut oil is a vegetable oil. Its density at room temperature (around \(25^\circ\text{C}\)) is typically in the range of 0.918 to 0.925 grams per milliliter (g/mL).
  • Water: Water is a common liquid. Its density is approximately 1.00 g/mL at \(4^\circ\text{C}\), but it is very close to 1.00 g/mL at room temperature as well (e.g., about 0.997 g/mL at \(25^\circ\text{C}\)). For most practical purposes at room temperature, it's considered 1.00 g/mL.
  • Mustard oil: Mustard oil is another vegetable oil. Its density at room temperature is typically around 0.910 to 0.917 g/mL.
  • Olive oil: Olive oil is also a vegetable oil. Its density at room temperature (around \(25^\circ\text{C}\)) is typically in the range of 0.913 to 0.918 g/mL.

Tabulating Densities for Comparison

To make the comparison clear, let's put these approximate densities into a table:

Substance Approximate Density at Room Temperature (g/mL)
Coconut oil 0.918 - 0.925
Water ~1.00 (specifically ~0.997 at \(25^\circ\text{C}\))
Mustard oil 0.910 - 0.917
Olive oil 0.913 - 0.918

Conclusion on Highest Density

Comparing the approximate density values:

  • Coconut oil: ~0.92 g/mL
  • Water: ~1.00 g/mL
  • Mustard oil: ~0.91 g/mL
  • Olive oil: ~0.91 - 0.92 g/mL

From these values, it is clear that Water has the highest density among the given options at room temperature. The density of water is significantly higher than that of the common vegetable oils listed.

Revision Table: Key Concepts of Density

Concept Description
Density Definition Mass per unit volume (\(\rho = m/V\))
Units Common units: g/cm³ (or g/mL for liquids), kg/m³
Temperature Effect Density of most substances decreases as temperature increases (volume expands more than mass changes). Water is an exception near its freezing point.
Floating/Sinking Objects less dense than a fluid will float in it; objects more dense will sink.

Additional Information on Liquid Densities

The density of liquids can be measured using various methods, such as using a hydrometer or a pycnometer. Understanding the density of liquids is important in many applications, including chemistry, physics, and everyday life (like cooking or determining if something will float). Vegetable oils are generally less dense than water because their molecules are structured differently, leading to more space between molecules compared to the tightly packed water molecules in liquid form (especially considering hydrogen bonding in water).

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