Calculate the mass fraction of ferrous sulfate in the solution if 3 liters of water and 180 grams
Calculate the mass fraction of ferrous sulfate in the solution if 3 liters of water and 180 grams of salt were taken to prepare it.
1. Let’s calculate the chemical amount of ferrous sulfate (2):
n (FeSO4) = m (FeSO4): M (FeSO4);
M (FeSO4) = 56 + 32 + 4 * 16 = 152 g / mol;
n (FeSO4) = 180: 152 = 1.1842 mol;
2. find the amount and mass of water in the crystalline hydrate FeSO4 * 7H2O:
n (H2O) = n (FeSO4) * 7 = 1.1842 * 7 = 8.2894 mol;
mcr (H2O) = n (H2O) * M (H2O) = 8.2894 * 18 = 149.2 g;
3.Calculate the mass of ferrous sulfate:
m (FeSO4 * 7H2O) = m (FeSO4) + mcr (H2O) = 180 + 149.2 = 329.2 g;
4.determine the mass of the solution:
m (solution) = ρ (water) * V (water) + m (FeSO4) = 1 * 3000 + 180 = 3180 g;
5.Calculate the mass fraction of vitriol:
w (FeSO4 * 7H2O) = m (FeSO4 * 7H2O): m (solution) = 329.2: 3180 = 0.1035 or 10.35%.
Answer: 10.35%.