Lithium hydroxide was obtained by dissolving lithium peroxide in hot water. Determine the mass fraction
Lithium hydroxide was obtained by dissolving lithium peroxide in hot water. Determine the mass fraction of alkali in a solution obtained by dissolving 4.6 g of lithium peroxide in 125 ml of water
Find the amount of lithium peroxide Li2O2.
n = m: M.
M (Li2O2) = 46 g / mol.
n = 4.6 g: 46 g / mol = 0.1 mol.
Let’s compose the reaction equation. Let’s find the quantitative ratios of substances.
2 Li2O2 + 2Н2О = 4 LiOH + O2
According to the reaction equation, there are 4 mol of LiOH for 2 mol of Li2O2.
Substances are in quantitative ratios 2: 4 = 1: 2.
n (LiOH) = 2 n (Li2O2) = 0.1 mol × 2 = 0.2 mol.
Let us find the mass of LiOH.
M (LiOH) = 24 g / mol.
m = n × M.
m = 24 g / mol × 0.2 mol = 4.8 g.
m (solution) = m (H2O) + m (LiOH) – m (O2).
m (H2O) = Vp.
m (H2O) = 125 ml × 1 g / ml = 125 g.
n (O2) = ½ n (Li2O2) = 0.1 mol: 2 = 0.05 mol.
Let’s find the mass of O2.
M (O2) = 32 g / mol.
m = 32 g / mol × 0.05 mol = 1.6 g.
m (solution) = 125 g + 4.8 g – 1.6 g = 128.2 g.
W = m (substance): m (solution) × 100%,
w (LiOH) = (4.8 g: 128.2 g) x 100% = 3.74%.
Answer: 3.74%.