mercury metal is poured into a graduated cylinder that holds exactly 22.5 ml. the mercury used to fill the cylinder weighs 306.0 g. from this information, calculate the density of mercury.
mercury metal is poured into a graduated cylinder that holds exactly 22.5 ml. the mercury used to fill the cylinder weighs 306.0 g. from this information, calculate the density of mercury.
Answer:
Certainly! Here’s the calculation with mathematical expressions using MathJax formatting:
To calculate the density of mercury, you can use the formula:
[ D = \frac{m}{V} ]
Where:
- ( D ) represents the density.
- ( m ) is the mass of mercury, which is 306.0 grams.
- ( V ) is the volume of mercury, which is 22.5 milliliters (ml).
However, it’s important to note that density is typically expressed in units of grams per cubic centimeter (g/cm³) in the metric system.
To calculate the density of mercury in g/cm³, you need to convert the volume from milliliters (ml) to cubic centimeters (cm³) because 1 ml is equivalent to 1 cm³.
So, the volume (( V )) in cubic centimeters is:
[ V = 22.5 , \text{ml} = 22.5 , \text{cm³} ]
Now, you can calculate the density:
[ D = \frac{306.0 , \text{g}}{22.5 , \text{cm³}} ]
Calculate this division to find the density of mercury:
D = 13.60 , \text{g/cm³} $
So, the density of mercury is approximately 13.60 grams per cubic centimeter (g/cm³).