# How many times the number of atoms in a glass of water and in a glass of mercury differs.

To calculate the ratio of the number of water atoms to the number of mercury atoms, we use the ratio: k = NH2O / NHg = (nH2O * mH2O * Na / MH2O) / (mHg * Na / MHg) = (nH2O * mH2O / MH2O) / (mHg / MHg ) = nH2O * ρH2O * V / MH2O / (ρHg * V / MHg) = (nH2O * ρH2O * MHg) / (ρHg * MH2O).

Constants: nH2O – the number of atoms in a water molecule (nH2O = 3 atoms); ρH2O – water density (ρH2O = 1000 kg / m3); MHg is the molar mass of mercury (MHg = 200.592 g / mol); ρHg is the density of mercury (ρHg = 13600 kg / m3); MH2O is the molar mass of water (MH2O = 18.015 g / mol).

Let’s calculate: k = nH2O * ρH2O * MHg / (ρHg * MH2O) = 3 * 1000 * 200.592 / (13600 * 18.015) = 2.46 p.

Answer: There are 2.46 times more atoms in a glass of water.

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