Final answer:
To calculate the volume of a 175-gram sample of mercury, we use its density of 13.6 g/cm³. Dividing the mass by the density, we find the volume to be approximately 12.8676 cm³.
Step-by-step explanation:
Calculating the Volume of a Mercury Sample
To find the volume of a 175-gram sample of mercury, we need to use the density of mercury as a conversion factor. Density is a physical property that describes the relationship between mass and volume. For mercury, the density is typically given as 13.6 grams per cubic centimeter (g/cm³). Using this, we can set up a simple division.
Volume in cm³ = Mass of mercury (g) / Density of mercury (g/cm³)
Divide the mass of mercury by the density (175 grams / 13.6 g/cm³) to get the volume in cubic centimeters.
By calculating, we find the volume of the mercury sample to be approximately:
Volume = 12.8676 cm³ (rounded to four decimal places).
This is the big explanation and big final answer for the volume of a 175-gram sample of mercury.