Final answer:
The density of a substance is a conversion factor that allows calculation of mass from volume or vice versa. So, we get 1. volume of mercury 0.0735mL, 2. mass of tetrachloroethylene 1.82g, 3. density of osmium 22,500 kg/m³, 4. mass of iron 0.165 pounds and 5. diameter of lead bell tra approximately 7.01 cm.
Step-by-step explanation:
The density of a substance is used as a conversion factor between mass and volume.
For instance, mercury has a density of 13.6 g/mL, which means that 13.6 grams of mercury occupy a volume of 1 mL.
To calculate the mass of a substance when given its volume (or the volume when given its mass), you can set up a simple multiplication or division based on this ratio.
1. Mercury Volume: The density (D) is given as 13.6 g/mL. The formula for density is D=V/m, where m is the mass and V is the volume.
Let's assume the mass (m) is 1 gram. Rearranging the formula to solve for volume (V): V=m/ D=1g / 13.6g/mL
The volume of mercury is approximately 0.0735mL.
2. Tetrachloroethylene Mass: The density (D) is given as 1.82 g/mL. Let's assume the volume (V) is 1 mL.
m= D × V = 1.82g/mL × 1mL
The mass of tetrachloroethylene is 1.82g.
3. Osmium Density in kg/m³: The density of osmium is given as 22.5 g/cm³.
To convert this to kg/m³, we use the conversion factor 1 g/cm³ = 1000 kg/m³.
Density in kg/m³ = 22.5 g/cm³ × 1000 kg/m³/g.
The density of osmium is 22,500 kg/m³.
4. Iron Mass in Pounds: The density of iron is given as 7.50 g/cm³. Let's assume the volume is 5.00 cm³.
m= D × V = 7.50g/cm³ × 5.00 cm³
Now, to convert grams to pounds, we use the conversion factor 1 lb=453.592 g
Mass in pounds=453.592 m.
The mass of iron is approximately 0.165 pounds.
5. Lead Bell Tra Diameter: The density of lead is given as 10.5 g/cm³. The mass (m) is given as 500.0 g.
Let's assume the bell tra has a cylindrical shape, and its density is uniform throughout.
The formula for density is D = m/v, and for a cylinder, V = πr²h (volume of a cylinder). Let's assume the height (h) is equal to the diameter (d).
πr²h = m/D
π (d/2)² d/2 = 500.0g /10.5g/cm³
Solving for d, the diameter of the lead bell tra is approximately 7.01 cm.
Question: Density and Unit Conversion Practice Problems
1. The density of mercury is 13.6 g/mL. What is the volume of mercury?
2 Tetrachloroethylene, also called PERC, has a density of 1.82 formerly used as a dry cleaning solvent. What is the mass of Tetrachloroethylene?
3. Osmium is the most dense element having a density of 22,5 glems.
4. The density of iron is 7.50 g/cm. What is the mass, in pounds, oi aones has a mass of 95.0 ounces PERC contained in a 55,0 gallon drum? Calculate the density of Ostriurn in kg/m2 iron that measures 5.00 cm, on a slide?
5. Lead has a density of 10.5 g/cm. What is the diameter of a lead bell tra has a mass of 500.0 g?