PTHH: \(4Al+3O_2\underrightarrow{t^o}2Al_2O_3\)  (1)

            \(2Mg+O_2\underrightarrow{t^o}2MgO\)  (2)

Ta có: \(\left\{{}\begin{matrix}n_{O_2\left(1\right)}=\dfrac{3}{4}n_{Al}=\dfrac{3}{4}\cdot\dfrac{13,5}{27}=0,375\left(mol\right)\\n_{O_2\left(1\right)}+n_{O_2\left(2\right)}=\dfrac{16,8}{22,4}=0,75\left(mol\right)\end{matrix}\right.\)

\(\Rightarrow n_{O_2\left(2\right)}=0,375\left(mol\right)\) \(\Rightarrow n_{Mg}=0,75\left(mol\right)\)

\(\Rightarrow\%m_{Mg}=\dfrac{0,75\cdot24}{0,75\cdot24+13,5}\cdot100\%\approx57,14\%\)

a,đổi.672ml=0,672l

tổng.số.mol.O2.cần.dùng.là:n=V/22,4=0,672/22,4=0,03(mol)

(1)3Fe+2O2--->Fe3O4

(2)2Mg+O2--->2MgO

số.mol.Mg.dùng.trong.PƯ.là:n=m/M=0,48/24=0,02(mol)

theo.PT(.2,)số.mol.O2.cần.dùng.để.tham.gia.PƯ.là:0,02x1:2=0,01(mol)

=>số.mol.O2.dùng.cho.PƯ.(1).là:0,03-0,01=0,02(mol)

theo.PT.(1),số.mol.Fe.là:0,02x3:2=0,03(mol)

Khối.lượng.sắt.là:0,03x56=1,68(g)

khối.lượng.hỗn.hợp.ban.đầu.là.:0,48+1,68=2,16(g)

b,%Fe=1,68x100/2,16=77,(7)%

=>%Mg=100%-77,(7)%=22,(2)%

c,làm.theo.định.luật.bảo.toàn.khối.lượng.nha.bạn.dễ.ợt.:v

lối

ukm 

gửi lại rùi đó

n O 2  còn lại tác dụng Fe là: 0,03 – 0,01 = 0,02 mol

\(n_{Mg}=\dfrac{0.48}{24}=0.02\left(mol\right)\)

\(n_{O_2}=\dfrac{0.672}{22.4}=0.03\left(mol\right)\)

\(2Mg+O_2\underrightarrow{t^0}2MgO\)

\(0.02...0.01\)

\(3Fe+2O_2\underrightarrow{t^0}Fe_3O_4\)

\(0.03...\left(0.03-0.01\right)\)

\(m_{Fe}=0.03\cdot56=1.68\left(g\right)\)

\(m_{hh}=1.68+0.48=2.16\left(g\right)\)

\(2Mg+O_2\xrightarrow{t^o}2MgO\\ 4Al+3O_2\xrightarrow{t^o}2Al_2O_3\\ \Rightarrow \begin{cases} 24.n_{Mg}+27.n_{Al}=5,1\\ 0,5.n_{Mg}+0,75.n_{Al}=n_{O_2}=\dfrac{2,8}{22,4}=0,125 \end{cases}\\ \Rightarrow \begin{cases} n_{Mg}=0,1(mol)\\ n_{Al_2O_3}=0,1(mol) \end{cases}\\ \Rightarrow \%m_{Mg}=\dfrac{0,1.24}{5,1}.100\%\approx 47,06\%\)

Fe hóa trị mấy để tạo ra h/c

\(m_{Fe}=32.70\%=22,4\left(g\right)\\ n_{Fe}=\dfrac{22,4}{56}=0,4\left(mol\right)\\ m_{Mg}=32-22,4=9,6\left(g\right)\\ n_{Mg}=\dfrac{9,6}{24}=0,4\left(mol\right)\\ 3Fe+2O_2\rightarrow\left(t^o\right)Fe_3O_4\\ 2Mg+O_2\rightarrow\left(t^o\right)2MgO\\ n_{O_2\left(tổng\right)}=\dfrac{2}{3}.n_{Fe}+\dfrac{1}{2}.n_{Mg}=\dfrac{2}{3}.0,4+\dfrac{1}{2}.0,4=\dfrac{7}{15}\left(mol\right)\\ V_{O_2\left(đktc\right)}=\dfrac{7}{15}.22,4=\dfrac{784}{75}\left(l\right)\\ V_{kk\left(đktc\right)}=\dfrac{784}{75}.\dfrac{100}{20}=\dfrac{784}{15}\left(l\right)\\ b,n_{Fe_3O_4}=\dfrac{1}{3}.0,4=\dfrac{2}{15}\left(mol\right)\\ n_{MgO}=n_{Mg}=0,4\left(mol\right)\\ m_{rắn}=m_{Fe_3O_4}+m_{MgO}=\dfrac{232.2}{15}+0,4.40=\dfrac{704}{15}\left(g\right)\)

\(a,m_{Fe}=\%Fe.m_{hh}=70\%.32=22,4\left(g\right)\)

\(m_{Mg}=m_{hh}-m_{Fe}=32-22,4=9,6\left(g\right)\)

\(n_{Fe}=\dfrac{m}{M}=\dfrac{22,4}{56}=0,4\left(mol\right)\\ n_{Mg}=\dfrac{m}{M}=0,4\left(mol\right)\)

\(PTHH:3Fe+2O_2\underrightarrow{t^o}Fe_3O_4\left(1\right)\)

\(PTHH:2Mg+O_2\underrightarrow{t^o}2MgO\left(2\right)\)

\(Theo.PTHH\left(1\right):n_{O_2\left(Fe\right)}=\dfrac{2}{3}n_{Fe}=\dfrac{2}{3}.0,4=\dfrac{4}{15}\left(mol\right)\)

\(Theo.PTHH\left(2\right):n_{O_2\left(Mg\right)}=2n_{Mg}=2.0,4=0,8\left(mol\right)\)

\(\Rightarrow n_{O_2\left(tổng\right)}=n_{O_2\left(Fe\right)}+n_{O_2\left(Mg\right)}=\dfrac{4}{15}+0,8=\dfrac{16}{15}\left(mol\right)\)

\(\Rightarrow V_{O_2\left(đktc\right)}=n.22,4=\dfrac{16}{15}.22,4=\dfrac{1792}{75}\left(l\right)\)

\(\Rightarrow V_{kk}=V_{O_2}.5=\dfrac{1792}{75}.5=\dfrac{1792}{15}\left(l\right)\)

Đáp án A