What is the volume of 52.3 g of ice with a density of 0.917 g/cm³?
The answer is 57.0 mL.
Understanding Density and Volume:
Density is a fundamental property of matter that describes how much mass is packed into a given volume. It is typically represented in units of grams per cubic centimeter (g/cm³). On the other hand, volume is the amount of space occupied by a substance and is often measured in cubic centimeters (cm³) or milliliters (mL).
When dealing with calculating the volume of a substance based on its density and mass, we can use the formula:
\[volume = \frac{mass}{density}\]
Given the data:
- Mass of ice = 52.3 g
- Density of ice = 0.917 g/cm³
Plugging these values into the formula, we get:
\[volume = \frac{52.3}{0.917} = 57.0338058\]
Rounded to a reasonable decimal place, the volume of 52.3 g of ice with a density of 0.917 g/cm³ is approximately 57.0 mL.
To further understand this concept, keep in mind that density and volume are inversely related. This means that as the density of a substance increases, its volume decreases for the same amount of mass. Conversely, when the density decreases, the volume occupied by the substance increases. In the case of ice, which has a relatively low density compared to other materials, a mass of 52.3 g will occupy a volume of approximately 57.0 mL due to its lower density per cubic centimeter.
This calculation showcases the interplay between density and volume in determining the spatial extent of a given mass of a substance. By manipulating these factors, scientists and researchers can make informed decisions about material properties and behaviors in various contexts.
In summary, the relationship between density and volume, as exemplified by the calculation for the ice mass provided, offers insights into the physical characteristics of substances and how they interact within different environments. Mastering the concepts of density and volume opens up a world of possibilities for scientific investigations and practical applications across multiple fields.