a) (1) Fe + H2SO4 \(\rightarrow\) FeSO4 + H2
(2) Fe3O4 + 4H2SO4 \(\rightarrow\) FeSO4 + Fe2(SO4)3 + 4H2O
Theo (1) : nFe = n\(H_2\) = 3,36 : 22,4 = 0,15 (mol)
\(\rightarrow\) mFe = 0,15 . 56 = 8,4 (g)
m\(Fe_3 O_4\) = 16,4 - 8,4 = 8 (g)
Theo (1)(2) : n\(H_2 SO_4\) = nFe + 4n\(Fe_3 O_4\)= 0,15 + 4.\(\dfrac{8}{232}\) = \(\dfrac{167}{580}\) (mol)
V = \(\dfrac{167}{580}\) . 22,4 =\(\dfrac{4676}{725}\) \(\approx\) 6,45(l)
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a) Fe + H2SO4 → FeSO4 + H2↑ (1)
Fe3O4 + 4H2SO4 → FeSO4 + Fe2(SO4)3 + 4H2O (2)
b) \(n_{H_2}=\dfrac{3,36}{22,4}=0,15\left(mol\right)\)
Theo PT1: \(n_{Fe}=n_{H_2}=0,15\left(mol\right)\)
\(\Rightarrow m_{Fe}=0,15\times56=8,4\left(g\right)\)
\(\Rightarrow m_{Fe_3O_4}=16,4-8,4=8\left(g\right)\)
c) Theo PT1: \(n_{H_2SO_4}=n_{H_2}=0,15\left(mol\right)\)
\(n_{Fe_3O_4}=\dfrac{8}{232}=\dfrac{1}{29}\left(mol\right)\)
Theo Pt2: \(n_{H_2SO_3}=4n_{Fe_3O_4}=4\times\dfrac{1}{29}=\dfrac{4}{29}\left(mol\right)\)
\(\Rightarrow\Sigma n_{H_2SO_4}=0,15+\dfrac{4}{29}=\dfrac{167}{580}\left(mol\right)\)
\(\Rightarrow V_{ddH_2SO_4}=\dfrac{167}{580}\div3=0,096\left(l\right)=96\left(l\right)\)