The mass of a cube of iron is 277 g. Iron has a density of 7.87 g/cm3. What is the mass of a cube of lead that has the same dimensions?
After treating a coloured solution of a compound with activated charcoal, filtering and drying the product, the colour of the product was grey. What caused the grey colour? How can the grey colour be removed?
volume Fe = mass/density.
Solve for volume Fe.
mass Pb = volume x density Pb. The density of Pb is about 11.3 g/cc but you should confirm that.
To find the mass of a cube of lead with the same dimensions, we can use the concept of density. Density is defined as mass per unit volume.
First, we need to calculate the volume of the cube. Since the cube has equal sides, the volume can be found by multiplying the length of one side by itself twice (V = s^3). Let's call the side length of the given iron cube "s".
Given information:
Mass of iron cube = 277 g
Density of iron = 7.87 g/cm³
We need to find the side length of the iron cube. We can rearrange the density formula to solve for the side length:
Density = Mass / Volume
7.87 g/cm³ = 277 g / (s^3)
s^3 = 277 g / 7.87 g/cm³
s^3 ≈ 35.18 cm³
Taking the cube root of both sides, we find:
s ≈ ∛(35.18 cm³)
s ≈ 3.1 cm
Now, we can calculate the volume of the lead cube using the same side length:
Volume of the lead cube = (side length)^3
Volume of the lead cube = (3.1 cm)^3
Volume of the lead cube ≈ 29.791 cm³
We can use the density of lead to find the mass of the lead cube:
Density of lead = Mass of lead cube / Volume of lead cube
7.87 g/cm³ = Mass of lead cube / 29.791 cm³
Rearranging the formula, we can find the mass of the lead cube:
Mass of lead cube = Density of lead * Volume of lead cube
Mass of lead cube = 7.87 g/cm³ * 29.791 cm³
Mass of lead cube ≈ 234.71 g
Therefore, the mass of a cube of lead with the same dimensions is approximately 234.71 grams.