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Trong \(20,4g\) hỗn hợp có: \(\left\{{}\begin{matrix}n_{Zn}=a\left(mol\right)\\n_{Fe}=b\left(mol\right)\\n_{Al}=c\left(mol\right)\end{matrix}\right.\)
\(\Rightarrow65a+56b+27c=20,4\left(1\right)\)
\(n_{H_2}=\dfrac{10,08}{22,4}=0,45mol\)
\(BTe:2n_{Zn}+2n_{Fe}+3n_{Al}=2n_{H_2}\)
\(\Rightarrow2a+2b+3c=2\cdot0,45\left(2\right)\)
Trong \(0,2mol\) hhX có \(\left\{{}\begin{matrix}Zn:ka\left(mol\right)\\Fe:kb\left(mol\right)\\Al:kc\left(mol\right)\end{matrix}\right.\)
\(\Rightarrow ka+kb+kc=0,2\)
\(n_{Cl_2}=\dfrac{6,16}{22,4}=0,275mol\)
\(BTe:2n_{Zn}+3n_{Fe}+3n_{Al}=2n_{Cl_2}\)
\(\Rightarrow2ka+3kb+3kc=2\cdot0,275\)
Xét thương:
\(\dfrac{ka+kb+kc}{2ka+3kb+3kc}=\dfrac{0,2}{2\cdot0,275}\Rightarrow\dfrac{a+b+c}{2a+3b+3c}=\dfrac{4}{11}\)
\(\Rightarrow3a-b-c=0\left(3\right)\)
Từ (1), (2), (3)\(\Rightarrow\left\{{}\begin{matrix}a=0,1mol\\b=0,2mol\\c=0,1mol\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}m_{Zn}=6,5g\\m_{Fe}=11,2g\\m_{Al}=2,7g\end{matrix}\right.\)
\(n_{H_2}=\dfrac{0,8}{22,4}=\dfrac{1}{28}\left(mol\right)\)
PTHH: 2A + xH2SO4 --> A2(SO4)x + xH2
_____\(\dfrac{1}{14x}\)<-----------------------------\(\dfrac{1}{28}\)
=> \(M_A=\dfrac{2}{\dfrac{1}{14x}}=28x\left(g/mol\right)\)
Xét x = 1 => MA = 28 (L)
Xét x = 2 => MA= 56 (g/mol) => Fe
=> CT oxit hóa trị cao nhất là Fe2O3
PTHH: \(Fe+H_2SO_4\rightarrow FeSO_4+H_2\)
a_______a_______a_____a (mol)
\(2Al+3H_2SO_4\rightarrow Al_2\left(SO_4\right)_3+3H_2\uparrow\)
2b______3b__________b_____3b (mol)
Ta lập HPT: \(\left\{{}\begin{matrix}56a+27\cdot2b=11\\a+3b=0,2\cdot2=0,4\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}a=0,1\\b=0,1\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}\%m_{Fe}=\dfrac{0,1\cdot56}{11}\cdot100\%\approx50,91\%\\\%m_{Al}=49,09\%\end{matrix}\right.\)
Theo các PTHH: \(\left\{{}\begin{matrix}n_{H_2}=0,4\left(mol\right)\\n_{FeSO_4}=0,1\left(mol\right)\\n_{Al_2\left(SO_4\right)_3}=0,3\left(mol\right)\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}V_{H_2}=0,4\cdot22,4=8,96\left(l\right)\\C_{M_{FeSO_4}}=\dfrac{0,1}{0,2}=0,5\left(M\right)\\C_{M_{Al_2\left(SO_4\right)_3}}=\dfrac{0,3}{0,2}=1,5\left(M\right)\end{matrix}\right.\)
a) nH2SO4=0,4(mol)
Đặt: nFe=x(mol); nAl=y(mol) (x,y>0)
PTHH: Fe + H2SO4 -> FeSO4 + H2
x________x______x______x(mol)
2Al + 3 H2SO4 -> Al2(SO4)3 + 3 H2
y____1,5y_______0,5y_______1,5y(mol)
Ta có hpt:
\(\left\{{}\begin{matrix}56x+27y=11\\x+1,5y=0,4\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=0,1\\y=0,2\end{matrix}\right.\)
=> mFe=0,1.56=5,6(g)
=>%mFe=(5,6/11).100=50,909%
=>%mAl= 49,091%
b) V(H2,đktc)=0,4.22,4=8,96(l)
c) nAl2(SO4)3= 0,5y=0,5.0,2=0,1(mol)
nFeSO4=x=0,1(mol)
Vddsau=VddH2SO4=0,2(l)
=>CMddAl2(SO4)3= 0,1/0,2=0,5(M)
CMddFeSO4=0,1/0,2=0,5(M)
Đặt KL là R
\(R+H_2SO_4\to RSO_4+H_2\\ \Rightarrow n_R=n_{H_2}=\dfrac{4,48}{22,4}=0,2(mol)\\ \Rightarrow M_R=\dfrac{13}{0,2}=65(g/mol)\)
Vậy KL là kẽm (Zn)
Chọn C.
\(n_{H_2}=0,4mol\)
\(\Rightarrow n_{HCl}=2n_{H_2}=0,8mol\)
\(C_M=\dfrac{0,8}{\dfrac{400}{1000}}=2M\)
\(n_{H_2}=\dfrac{10,08}{22,4}=0,45\left(mol\right)\\ KL:A\left(x:hoa.tri.A\right)\\ 2A+xH_2SO_4\rightarrow A_2\left(SO_4\right)_x+xH_2\\ n_{Al}=\dfrac{2.0,45}{x}=\dfrac{0,9}{x}\left(mol\right)\\ M_A=\dfrac{8,1}{\dfrac{0,9}{x}}=9x\left(\dfrac{g}{mol}\right)\)
Xét: x=1;x=2;x=3;x=8/3 => Chọn x=3 thỏa, MA=27(g/mol)
=>A là nhôm (Al=27)