a,\(n_{H_2}=\dfrac{2,24}{22,4}=0,1\left(mol\right)\)

PTHH: Mg + H₂SO₄ → MgSO₄ + H₂

Mol:     0,1                       0,1         0,1

PTHH: MgO + H₂SO₄ → MgSO₄ + H₂O

Mol:      0,2                         0,2

\(m_{Mg}=0,1.24=2,4\left(g\right)\)

\(m_{MgO}=10,4-2,4=8\left(g\right)\Rightarrow n_{MgO}=\dfrac{8}{40}=0,2\left(mol\right)\)

b,\(n_{MgSO_4}=0,1+0,2=0,3\left(mol\right)\)

PTHH: MgSO₄ + 2NaOH → Mg(OH)₂ ↓ + Na₂SO₄

Mol:      0,3                               0,3

PTHH: Mg(OH)₂ ---t^o→ MgO + H₂O

Mol:        0,3                               0,3

\(\Rightarrow m_{MgO}=0,3.40=12\left(g\right)\)

PT: \(Mg+H_2SO_4\rightarrow MgSO_4+H_2\left(1\right)\)

\(MgO+H_2SO_4\rightarrow MgSO_4+H_2O\left(2\right)\)

Ta có: \(n_{H_2}=\dfrac{2,24}{22,4}=0,1\left(mol\right)\)

Theo PT (1): \(n_{Mg}=n_{H_2}=0,1\left(mol\right)\)

\(\Rightarrow m_{Mg}=0,1.24=2,4\left(g\right)\)

\(\Rightarrow m_{MgO}=m_{hh}-m_{Mg}=4,4-2,4=2\left(g\right)\)

Bạn tham khảo nhé!

a)

Gọi số mol Mg, Na₂CO₃ là a,b (mol)

=> 24a + 106.b = 13 (1)

\(n_{H_2}+n_{CO_2}=\dfrac{4,48}{33,4}=0,2\left(mol\right)\)

PTHH: Mg + H₂SO₄ --> MgSO₄ + H₂

______a------>a------------>a------->a________(mol)

Na₂CO₃ + H₂SO₄ --> Na₂SO₄ + CO₂ + H₂O

__b---------->b----------->b------>b______________(mol)

=> a + b = 0,2 (2)

(1)(2) => \(\left\{{}\begin{matrix}a=0,1\\b=0,1\end{matrix}\right.\)

=> \(\left\{{}\begin{matrix}\%Mg=\dfrac{0,1.24}{13}100\%=18,46\%\\\%Na_2CO_3=100\%-18,46\%=81,54\%\end{matrix}\right.\)

b) 

PTHH: \(Ba\left(OH\right)_2+H_2SO_4->BaSO_4\downarrow+2H_2O\)

_________________k------------>k_______________(mol)

\(Ba\left(OH\right)_2+MgSO_4->BaSO_4\downarrow+Mg\left(OH\right)_2\downarrow\)

____________0,1---------->0,1---------->0,1_________(mol)

\(Ba\left(OH\right)_2+Na_2SO_4->BaSO_4\downarrow+2NaOH\)

____________0,1-------->0,1____________________(mol)

\(Mg\left(OH\right)_2\underrightarrow{t^o}MgO+H_2O\)

_0,1---------->0,1______________________________(mol)

=> \(\left\{{}\begin{matrix}n_{BaSO_4}=k+0,2\\n_{MgO}=0,1\end{matrix}\right.\)

=> \(233.\left(k+0,2\right)+40.0,1=62,25\)

=> k = 0,05 (mol)

=> n_H2SO4 = 0,1 + 0,1 + 0,05 = 0,25 (mol)

=> \(V_{dd}=\dfrac{0,25}{1}=0,25\left(l\right)=250ml\)

Gọi x, y lần lượt là sô mol của Fe và Mg

Ta có: \(n_{H_2}=\dfrac{6,72}{22,4}=0,3\left(mol\right)\)

PTHH: 

Fe + H₂SO₄ ---> FeSO₄ + H₂ (1)

Mg + H₂SO₄ ---> MgSO₄ + H₂ (2)

a. Theo PT₍₁₎: \(n_{H_2}=n_{Fe}=x\left(mol\right)\)

Theo PT₍₂₎: \(n_{H_2}=n_{Mg}=y\left(mol\right)\)

\(\Rightarrow x+y=0,3\) (*)

Theo đề, ta có: 56x + 24y = 10.4 (**)

Từ (*) và (**), ta có HPT:

\(\left\{{}\begin{matrix}x+y=0,3\\56x+24y=10,4\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=0,1\\y=0,2\end{matrix}\right.\)

\(\Rightarrow m_{Fe}=0,1.56=5,6\left(g\right);m_{Mg}=0,2.24=4,8\left(g\right)\)

b. Ta có: \(n_{hh}=0,1+0,2=0,3\left(mol\right)\)

Theo PT_(1,2): \(n_{H_2SO_4}=n_{hh}=0,3\left(mol\right)\)

Đổi 200ml = 0,2 lít

\(\Rightarrow C_{M_{H_2SO_4}}=\dfrac{0,3}{0,2}=1,5M\)

PTHH: \(Mg+2HCl\rightarrow MgCl_2+H_2\uparrow\)

             \(MgO+2HCl\rightarrow MgCl_2+H_2O\)

Ta có: \(n_{H_2}=\dfrac{2,24}{22,4}=0,1\left(mol\right)=n_{Mg}\)

\(\Rightarrow m_{Mg}=0,1\cdot24=2,4\left(g\right)\) \(\Rightarrow m_{MgO}=2\left(g\right)\)

mg+2hcl-> mgcl2+ h2

mgo+2hcl->mgcl2+ h2o

đặt nmg=a, nmgo=b

theo bài ra và theo pthh ta có hệ:

24a+40b=4,4

a=2,24/22,4

=> a=0,1, b=0,05

-> %m Mg=0,1*24/4,4*100=54,54%

%m MgO=100-54,54=45,45%