- The density of water is inversely related to its temperature, meaning lower temperatures lead to higher density.
- Comparing the given values: \(18^{\circ}C < 23^{\circ}C < 31^{\circ}C < 48^{\circ}C\).
- Location C has the lowest average temperature, which corresponds to the highest water density.
- The greatest ocean density is at \(\boxed{\text{Location C}}\).
Explanation
- Understanding the Relationship Between Temperature and Density
The density of water is a physical property that changes with temperature. For liquid water in the typical environmental range, density is inversely related to temperature: as the temperature of the water decreases, the water molecules lose kinetic energy and pack more closely together, resulting in a higher density. Conversely, as temperature increases, water molecules gain kinetic energy and spread out, leading to a lower density. To find the location with the greatest ocean density, we must identify the location with the lowest average yearly temperature.
- Comparing Temperatures and Identifying the Lowest Value
We are provided with the following average yearly temperatures for four locations:
- Location A: \(31^{\circ}C\)
- Location B: \(23^{\circ}C\)
- Location C: \(18^{\circ}C\)
- Location D: \(48^{\circ}C\)
Comparing these values:
\(18^{\circ}C < 23^{\circ}C < 31^{\circ}C < 48^{\circ}C\).
The lowest temperature is \(18^{\circ}C\), which occurs at Location C.
- Conclusion
Since the density of water is greatest at the lowest temperature, and the lowest temperature is recorded at Location C, we conclude that the ocean density at Location C is the greatest among the four locations.
Examples
In marine biology and oceanography, understanding density is crucial for tracking ocean currents. Since cold, dense water sinks and warm, less dense water stays at the surface, scientists often monitor water temperatures to predict deep-sea circulation patterns. If you were studying how nutrients are transported from the ocean floor to the surface, knowing where the water is coldest—and thus densest—helps identify areas of potential upwelling.