Platinum has a density of 21.40 g/cm3. What is the mass of 0.0059 L of this metal in kg?
126.26 kg
126.3 kg
0.12626 kg
0.13 kg
The answer is 0.12626 kg.
To solve the problem, we need to use the formula:
mass = density x volume
We are given the density of platinum as 21.40 g/cm3 and the volume as 0.0059 L. However, we need to convert the volume from L to cm3 to match the units of density.
1 L = 1000 cm3
So, 0.0059 L = 5.9 cm3
Now we can substitute the values into the formula:
mass = 21.40 g/cm3 x 5.9 cm3
mass = 126.26 g
mass = 0.12626 kg (since 1 kg = 1000 g)
Therefore, the mass of 0.0059 L of platinum is 0.12626 kg.
To find the mass of 0.0059 L of platinum, you can use the formula:
Mass = density x volume
First, convert the volume from liters to cubic centimeters (cm^3):
1 L = 1000 cm^3
0.0059 L = 0.0059 x 1000 cm^3 = 5.9 cm^3
Now, plug in the values into the formula:
Mass = 21.40 g/cm^3 x 5.9 cm^3
Mass = 126.26 g
To convert grams to kilograms, divide by 1000:
Mass = 126.26 g / 1000 = 0.12626 kg
Therefore, the mass of 0.0059 L of platinum is approximately 0.12626 kg.
To find the mass of the platinum sample, we can use the formula:
Mass = Density × Volume
First, we need to convert the volume from liters (L) to cubic centimeters (cm³) since the density is given in g/cm³.
1 L = 1000 cm³
So, 0.0059 L = 0.0059 × 1000 cm³ = 5.9 cm³
Now we can substitute the values into the formula:
Mass = 21.40 g/cm³ × 5.9 cm³
Multiplying these two values together, we get:
Mass = 126.26 g
Since the question asks for the mass in kg, we need to convert grams to kilograms:
1 kg = 1000 g
So, the mass of the platinum sample is 126.26 g ÷ 1000 = 0.12626 kg.
Therefore, the correct answer is 0.12626 kg.