What mass of red iron ore containing 80% iron (III) oxide was dissolved in a 200 g nitric acid
What mass of red iron ore containing 80% iron (III) oxide was dissolved in a 200 g nitric acid solution with a mass fraction of HNO3 12.6%?
1. Let’s compose the reaction equation:
Fe2O3 + 6HNO3 = 2Fe (NO3) 3 + 3H2O;
2. Calculate the mass of nitric acid:
m (HNO3) = w (HNO3) * m (solution HNO3) = 0.126 * 200 = 25.2 g;
3. Find the chemical amount of acid:
n (HNO3) = m (HNO3): M (HNO3);
M (HNO3) = 1 + 14 + 3 * 16 = 63 g / mol;
n (HNO3) = 25.2: 63 = 0.4 mol;
4. Determine the amount of reacted iron oxide:
n (Fe2O3) = n (HNO3): 6 = 0.4: 6 = 0.0667 mol;
5. Let’s calculate the mass of the oxide:
m (Fe2O3) = n (Fe2O3) * M (Fe2O3);
M (Fe2O3) = 2 * 56 + 3 * 16 = 160 g / mol;
m (Fe2O3) = 0.0667 * 160 = 10.672 g;
6. Set the mass of red iron ore:
m (cr. l.) = m (Fe2O3): w (Fe2O3) = 10.672: 0.8 = 13.34 g.
Answer: 13.34 g.