the density of liquid mercury is 13.6 g/cm^3. how many moles of mercury are there in 1 litre of the metal?
1000cm^3 * 13.6g/cm^3 * 1mole/200.59g = 67.8 moles
To determine the number of moles of liquid mercury in 1 liter, we need to use the density of mercury and its molar mass.
The molar mass of mercury (Hg) is 200.59 g/mol.
Given:
Density of mercury = 13.6 g/cm^3
Volume = 1 L = 1000 cm^3
First, we need to convert the volume from liters to cubic centimeters (cm^3).
1 L * 1000 cm^3/L = 1000 cm^3
Now, we can calculate the mass of 1 liter of mercury.
Mass = Density * Volume = 13.6 g/cm^3 * 1000 cm^3 = 13600 g
Next, we convert the mass of mercury from grams to moles using the molar mass.
Moles = Mass / Molar mass = 13600 g / 200.59 g/mol ≈ 67.82 mol
Therefore, there are approximately 67.82 moles of liquid mercury in 1 liter of the metal.