# How much gas does 100 moles of mercury have?

October 3, 2021 | education

| Initial data: ν (amount of mercury substance) = 100 mol.

Reference values: M (molar mass of mercury) = 200.59 g / mol (≈ 0.2 kg / mol); ρ (density of mercury) = 13600 kg / m3.

The volume occupied by 100 mol of mercury is determined from the formula: ν = m / M = ρ * V / M, whence V = ν * M / ρ.

Let’s perform the calculation: V = 100 * 0.2 / 13600 = 0.00147 m3 (1.47 dm3; 1.47 l).

Answer: 100 mol of mercury takes up a volume of 1.47 liters.