How to Calculate the Volume Occupied by 1.00 g of Osmium and Hydrogen and Compare Their Densities?

To find out how much volume 1.00 g of each element occupies, we will use the formula for density, which is:

Density (D) = Mass (m) / Volume (V)

Rearranging this formula gives us:

Volume (V) = Mass (m) / Density (D)

Now, let’s calculate the volume for each element:

1. Volume of Osmium

The density of osmium is given as 26 g/ml. For 1.00 g of osmium, the volume can be calculated as follows:

V_osmium = m_osmium / D_osmium = 1.00 g / 26 g/ml

V_osmium = 0.0385 ml

2. Volume of Hydrogen

The density of hydrogen is given as 8.99 x 10^-5 g/ml. For 1.00 g of hydrogen, the volume can be calculated as:

V_hydrogen = m_hydrogen / D_hydrogen = 1.00 g / (8.99 x 10^-5 g/ml)

V_hydrogen = 11113.41 ml

3. Comparing Densities

Now, to find out how many times more dense osmium is compared to hydrogen, we simply divide the density of osmium by the density of hydrogen:

Density ratio = D_osmium / D_hydrogen

Density ratio = 26 g/ml / (8.99 x 10^-5 g/ml)

Density ratio ≈ 289,900

This means osmium is approximately 289,900 times more dense than hydrogen.