If the density of gold – 19.3g/ml, what is the mass (in grams) of 125 ml. of gold?
The correct answer and explanation is :
To calculate the mass of a substance, you can use the formula for density:
[
\text{Density} = \frac{\text{Mass}}{\text{Volume}}
]
Rearranging the formula to solve for mass:
[
\text{Mass} = \text{Density} \times \text{Volume}
]
Given values:
- The density of gold = 19.3 g/ml
- Volume of gold = 125 ml
Calculation:
Now, substitute the given values into the formula:
[
\text{Mass} = 19.3 \, \text{g/ml} \times 125 \, \text{ml}
]
[
\text{Mass} = 2412.5 \, \text{grams}
]
Explanation:
The mass of a substance is determined by multiplying its density by its volume. The density of gold is a well-known value, which is 19.3 g/ml, meaning that for every milliliter of gold, it weighs 19.3 grams.
The volume of gold in this scenario is given as 125 ml. To find the total mass, we simply multiply the density of gold (19.3 g/ml) by the volume (125 ml). The units of milliliters (ml) cancel out, leaving us with grams (g), which is the correct unit for mass.
This result tells us that 125 milliliters of gold weighs 2412.5 grams, which is quite substantial due to gold’s high density. This property of gold, being one of the densest metals, makes it ideal for applications where mass and weight are important, such as in jewelry, currency, and certain industrial applications.
In summary, to find the mass of any substance when you know its density and volume, simply multiply these two values together. For gold, a volume of 125 ml results in a mass of 2412.5 grams, emphasizing the heavy and compact nature of gold.