Platinum has a density of 21.40 g/c m cubed. What is the mass of 0.0059 L of this metal in kg?
First, we need to convert 0.0059 L to cm^3:
1 L = 1000 cm^3
0.0059 L = 5.9 cm^3
Now we can use the density formula:
density = mass/volume
Rearranging the formula gives:
mass = density x volume
Substituting the given values:
mass = 21.40 g/cm^3 x 5.9 cm^3
mass = 126.26 g
Finally, we convert the mass to kg:
mass = 0.12626 kg (to five significant figures)
To find the mass of platinum in kg, we need to use the density equation:
Density = Mass / Volume
Given:
Density of platinum = 21.40 g/cm³
Volume of platinum = 0.0059 L
We need to convert the volume from liters to cm³:
1 L = 1000 cm³
Volume in cm³ = 0.0059 L x 1000 cm³/L
Volume in cm³ = 5.9 cm³
Now, we can rearrange the density equation to find the mass:
Mass = Density x Volume
Mass = 21.40 g/cm³ x 5.9 cm³
Mass = 126.26 g
Finally, we need to convert the mass from grams to kilograms:
1 kg = 1000 g
Mass in kg = 126.26 g / 1000
Mass in kg = 0.12626 kg
Therefore, the mass of 0.0059 L of platinum is approximately 0.12626 kg.