Đặt m_A = a (tấn); m_B = b (tấn)

Giả sử a + b = 1 (tấn) (1)

\(m_{Fe_2O_3\left(A\right)}=a.60\%=0,6a\left(tấn\right)=6.10^5a\left(g\right)\)

=> \(n_{Fe_2O_3\left(A\right)}=\dfrac{6.10^5a}{160}=3750a\left(mol\right)\Rightarrow n_{Fe\left(A\right)}=7500a\left(mol\right)\)

\(m_{Fe_3O_4\left(B\right)}=b.69,6\%=0,696b\left(tấn\right)=696.10^3b\left(g\right)\)

=> \(n_{Fe_3O_4\left(B\right)}=\dfrac{696.10^3b}{232}=3000b\left(mol\right)\Rightarrow n_{Fe\left(B\right)}=9000b\left(mol\right)\)

\(n_{Fe\left(tổng\right)}=\dfrac{0,48.10^6}{56}=\dfrac{60000}{7}\left(mol\right)\)

=> \(7500a+9000b=\dfrac{60000}{7}\) (2)

(1)(2) => \(a=\dfrac{2}{7}\left(tấn\right);b=\dfrac{5}{7}\left(tấn\right)\)

=> \(\dfrac{a}{b}=\dfrac{2}{5}\)

Đặt m_A = a (tấn); m_B = b (tấn)

Giả sử a + b = 1 (tấn) (1)

\(m_{Fe_2O_3\left(A\right)}=a.60\%=0,6a\left(tấn\right)=6.10^5a\left(g\right)\)

=> \(n_{Fe_2O_3\left(A\right)}=\dfrac{6.10^5a}{160}=3750a\left(mol\right)\Rightarrow n_{Fe\left(A\right)}=7500a\left(mol\right)\)

\(m_{Fe_3O_4\left(B\right)}=b.69,6\%=0,696b\left(tấn\right)=696.10^3b\left(g\right)\)

=> \(n_{Fe_3O_4\left(B\right)}=\dfrac{696.10^3b}{232}=3000b\left(mol\right)\Rightarrow n_{Fe\left(B\right)}=9000b\left(mol\right)\)

\(n_{Fe\left(tổng\right)}=\dfrac{0,48.10^6}{56}=\dfrac{60000}{7}\left(mol\right)\)

=> \(7500a+9000b=\dfrac{60000}{7}\) (2)

(1)(2) => \(a=\dfrac{2}{7}\left(tấn\right);b=\dfrac{5}{7}\left(tấn\right)\)

=> \(\dfrac{a}{b}=\dfrac{2}{5}\)

Ta có: \(n_{KMnO_4}=\dfrac{31,6}{158}=0,2\left(mol\right)\)

PT: \(2KMnO_4\underrightarrow{t^o}K_2MnO_4+MnO_2+O_2\)

Theo PT: \(n_{K_2MnO_4}=n_{MnO_2}=n_{O_2}=\dfrac{1}{2}n_{KMnO_4}=0,1\left(mol\right)\)

\(\Rightarrow V_{O_2}=0,1.22,4=2,24\left(l\right)\)

- Chất rắn thu được sau pư gồm: K₂MnO₄ và MnO₂.

⇒ m _{chất rắn} = m_K2MnO4 + m_MnO2 = 0,1.197 + 0,1.87 = 28,4 (g)

Coi :

\(m_A = 232(gam)\\ \Rightarrow n_{Fe_3O_4} = 232.90\% : 232 = 0,9(mol)\\ \text{Gọi hiệu suất phản ứng là a}\Rightarrow n_{Fe_3O_4\ pư} = 0,9a(mol)\\ Fe_3O_4 + 4H_2 \xrightarrow{t^o} 3Fe + 4H_2O\\ n_{Fe} = 0,9a.3 = 2,7a(mol)\\ n_{Fe_3O_4\ dư} = 0,9 - 0,9a(mol)\\ m_B = 2,7a.56 + (0,9 - 0,9a).232 = 232.80\%\\ \Rightarrow a = 0,4028 = 40,28\%\)

\(n_{KMnO_4}=\dfrac{31,6}{158}=0,2mol\)

\(2KMnO_4\underrightarrow{t^o}K_2MnO_4+MnO_2+O_2\uparrow\)

0,2                 0,1              0,1        0,1

a)\(V_{O_2}=0,1\cdot22,4=2,24l\)

b)\(m_{CRắn}=m_{K_2MnO_4}+m_{MnO_2}=0,1\cdot197+0,1\cdot87=28,4g\)

c)\(n_{CH_4}=\dfrac{11,2}{22,4}=0,5mol\)

\(CH_4+2O_2\underrightarrow{t^o}CO_2+2H_2O\)

0,5        0,1    0              0

0,05      0,1    0,05         0,1

0,45       0      0,05         0,1

\(V_{CO_2}=0,05\cdot22,4=1,12l\)

\(m_{H_2O}=0,1\cdot18=1,8g\)

PTHH: 2KMnO4--t^o-> K2MnO4+MnO2+O2

              0,2----------------0,1---------0,1-----0,1

b, n_KMnO4= \(\dfrac{31,6}{158}\)=0,2 mol

Theo pt: n_O2=\(\dfrac{1}{2}\).0,2=0,1 mol

=> V_O2= 0,1.22,4= 2,24 l

=>m cr=0,1.197+0,1.87=28,4g

CH4+2O2-to>CO2+2H2O

            0,5-----0,25-----0,5

n CH4=\(\dfrac{11,2}{22,4}\)=0,5 mol

=>Oxi du

=>V CO2=0,25.22,4=5,6l

=>m H2O=0,5.18=9g

a. n_H2 = n_Fe = 0,1mol

Bảo toàn nguyên tố Fe => n_Fe2O3 = 0,05mol

=> m_Fe2O3 = 8g

=> %Fe₂O₃ = (8:10) . 100% = 80%

2KMnO4-to>K2MnO4+MnO2+O2

0,2----------------0,1---------0,1-----0,1

n KMnO4=\(\dfrac{31,6}{158}\)=0,2 mol

=>VO2=0,1.22,4=2,24l

=>m cr=0,1.197+0,1.87=28,4g

\(n_{KMnO_4}=\dfrac{31,6}{158}=0,2mol\)

\(2KMnO_4\rightarrow\left(t^o\right)K_2MnO_4+MnO_2+O_2\)

    0,2                        0,1             0,1      0,1  ( mol )

\(V_{O_2}=0,1.22,4=2,24l\)

\(m_{K_2MnO_4}=0,1.197=19,7g\)

\(m_{MnO_2}=0,1.87=8,7g\)