\(n_{Ba\left(OH\right)_2}=\dfrac{20.52}{171}=0.12\left(mol\right)\)
\(n_{H_2}=\dfrac{1.12}{22.4}=0.05\left(mol\right)\)
\(n_{NaOH}=a\left(mol\right)\)
\(n_H=0.12\cdot2+a+0.05\cdot2=0.34+a\left(mol\right)\)
\(\Rightarrow n_{H_2O}=0.17+0.5a\left(mol\right)\)
\(BTKL:\)
\(21.9+\left(0.17+0.5a\right)\cdot18=20.52+40a+0.05\cdot2\)
\(\Rightarrow a=0.14\)
\(m_{NaOH}=0.14\cdot40=5.6\left(g\right)\)
Quy đôi A gồm : Na,Ba và O
n Ba = n Ba(OH)2 = 20,52/171 = 0,12(mol)
Gọi n Na = a(mol) ; n O = b(mol)
=> 23a + 16b + 0,12.137 = 21,9(1)
n H2 = 1,12/22,4 = 0,05(mol)
Bảo toàn e :
$Na^0 \to Na^+ + 1e$
$Ba^0 \to Ba^{+2} + 2e$
$O^0 + 2e \to O^{-2}$
$2H^+ 2e \to H_2$
=> a + 0,12.2 = 2b + 0,05.2(2)
Từ (1)(2) suy ra a = b = 0,14
n NaOH = n Na = 0,14 mol
=> m NaOH = 0,14.40 = 5,6(gam)