Question

The density of liquid mercury is 13.6gcm⁻³. How many moles of mercury are there in 1 litre of the metal?

(Atomic mass of Hg = 200)

Answer 1

The density of liquid mercury is 13.6 g/cm³. To find the number of moles of mercury in 1 liter of the metal, we need to convert the volume from liters to cubic centimeters (cm³) since the density is given in grams per cubic centimeter. The density of mercury is 13.6 g/cm³ and the molar mass of mercury is 200 g/mol.

Step-by-step explanation:

The density of liquid mercury is 13.6 g/cm³. To find the number of moles of mercury in 1 liter of the metal, we need to convert the volume from liters to cubic centimeters (cm³) since the density is given in grams per cubic centimeter. Since 1 liter is equal to 1000 cubic centimeters, we can multiply the density of mercury (13.6 g/cm³) by 1000 to find the mass of mercury in grams in 1 liter. Next, we convert the mass of mercury to moles by dividing by the molar mass of mercury. The molar mass of mercury is 200 g/mol.

Let's plug in the values:

1. Density of mercury = 13.6 g/cm³
2. Volume of mercury = 1 liter = 1000 cm³

Mass of mercury = density × volume = 13.6 g/cm³ × 1000 cm³ = 13600 g

Moles of mercury = mass / molar mass = 13600 g / 200 g/mol = 68 moles