Khi cho 8,8 gam hỗn hợp Mg và Cu tác dụng với chlorine thì cần vừa đủ 4,958 lít khí Cl2 ở đkc. Hãy tính khối lượng từng kim loại có trong hỗn hợp ban đầu.
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![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(n_{Cu}=a\left(mol\right),n_{Fe}=b\left(mol\right),n_{Al}=c\left(mol\right)\)
\(m_X=64a+56b+27b=35.7\left(g\right)\left(1\right)\)
\(n_{Cl_2}=\dfrac{21.84}{22.4}=0.975\left(mol\right)\)
\(Cu+Cl_2\underrightarrow{^{^{t^0}}}CuCl_2\)
\(Fe+\dfrac{3}{2}Cl_2\underrightarrow{^{^{t^0}}}FeCl_3\)
\(Al+\dfrac{3}{2}Cl_2\underrightarrow{^{^{t^0}}}AlCl_3\)
\(n_{Cl_2}=a+1.5b+1.5c=0.975\left(mol\right)\left(2\right)\)
\(n_{hh}=ka+kb+kc=0.25\left(mol\right)\)
\(n_{H_2}=kb+k\cdot1.5c=0.2\left(mol\right)\)
\(\Leftrightarrow a-0.25b-0.875c=0\left(3\right)\)
\(\left(1\right),\left(2\right),\left(3\right):a=0.3,b=0.15,c=0.3\)
\(\%Cu=\dfrac{0.3\cdot64}{35.7}\cdot100\%=53.78\%\)
\(\%Fe=\dfrac{0.15\cdot56}{35.7}\cdot100\%=23.52\%\)
\(\text{%Al=22.7%}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Gọi số mol Mg, Fe, Al là a, b, c
=> 24a + 56b + 27c = 23,8
PTHH: Mg + 2HCl --> MgCl2 + H2
a------------------------->a
Fe + 2HCl --> FeCl2 + H2
b------------------------->b
2Al + 6HCl --> 2AlCl3 + 3H2
c------------------------->1,5c
=> a + b + 1,5c = \(\dfrac{17,92}{22,4}=0,8\left(mol\right)\)
PTHH: Mg + Cl2 --to--> MgCl2
a-->a
2Fe + 3Cl2 --to--> 2FeCl3
b--->1,5b
2Al + 3Cl2 --to--> 2AlCl3
c--->1,5c
=> \(a+1,5b+1,5c=\dfrac{20,16}{22,4}=0,9\left(mol\right)\)
=> a = 0,3; b = 0,2; c = 0,2
=> \(\left\{{}\begin{matrix}m_{Mg}=0,3.24=7,2\left(g\right)\\m_{Fe}=0,2.56=11,2\left(g\right)\\m_{Al}=0,2.27=5,4\left(g\right)\end{matrix}\right.\)
![](https://rs.olm.vn/images/avt/0.png?1311)
\(n_{H2}=\dfrac{4,48}{22,4}=0,2\left(mol\right)\)
Pt : \(Fe+2HCl\rightarrow FeCl_2+H_2|\)
1 2 1 1
a 1a
\(Mg+2HCl\rightarrow MgCl_2+H_2|\)
1 2 1 1
b 1b
Gọi a là số mol của Fe
b là số mol của Mg
\(m_{Fe}+m_{Mg}=8\left(g\right)\)
⇒ \(n_{Fe}.M_{Fe}+n_{Mg}.M_{Mg}=8g\)
⇒ 56a + 24b = 8g (2)
Theo phương trình : 1a + 1b = 0,2(2)
Từ (1),(2), ta có hệ phương trình :
56a + 24b = 8g
1a + 1b = 0,2
⇒ \(\left\{{}\begin{matrix}a=0,1\\b=0,1\end{matrix}\right.\)
\(m_{Fe}=0,1.56=5,6\left(g\right)\)
\(m_{Mg}=0,1.24=2,4\left(g\right)\)
0/0Fe = \(\dfrac{5,6.100}{8}=70\)0/0
0/0Mg = \(\dfrac{2,4.100}{8}=30\)0/0
Chúc bạn học tốt
\(n_{H_2}=\dfrac{4,48}{22,4}=0,2\left(mol\right)\)
PTHH: Fe + 2HCl → FeCl2 + H2
Mol: x x
PTHH: Mg + 2HCI → MgCl2 + H2
Mol: y y
Ta có: \(\left\{{}\begin{matrix}56x+24y=8\\x+y=0,2\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=0,1\\y=0,1\end{matrix}\right.\)
\(\Rightarrow\%m_{Fe}=\dfrac{0,1.56.100\%}{8}=70\%;\%m_{Mg}=100-70=30\%\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a) nCl2=7,28/22,4=0,325(mol)
=> mCl2=0,325.71=23,075(mol)
=> m(muối)= m(hh)+ mCl2= 10,45+23,075=33,525(g)
b) PTHH: 2 Al + 3 Cl2 -to-> 2 AlCl3
a__________1,5a(mol)
Cu + Cl2 -to-> CuCl2
b___b(mol)
Ta có hpt:
\(\left\{{}\begin{matrix}27a+64b=10,45\\1,5a+b=0,325\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0,15\\b=0,1\end{matrix}\right.\)
=> mCu=0,1.64=6,4(g)
=>%mCu= (6,4/10,45).100=61,244%
=>%mAl=38,756%
![](https://rs.olm.vn/images/avt/0.png?1311)
Sửa: $V_{H_2}=7,168(l)$
$a\bigg)$
Đặt $n_{Mg}=x;n_{Fe}=y;n_{Al}=z$
$\to 24x+56y+27z=9,52(1)$
$n_{H_2}=\dfrac{7,168}{22,4}=0,32(mol)$
$n_{Cl_2}=\dfrac{8,064}{22,4}=0,36(mol)$
BTe: $x+y+1,5z=n_{H_2}=0,32(2)$
BTe: $x+1,5y+1,5z=n_{Cl_2}=0,36(3)$
Từ $(1)(2)(3)\to x=0,12(mol);y=0,08(mol);z=0,08(mol)$
$\to \begin{cases} \%m_{Mg}=\dfrac{0,12.24}{9,52}.100\%=30,25\%\\ \%m_{Fe}=\dfrac{0,08.56}{9,52}.100\%=47,06\%\\ \%m_{Al}=100-47,06-30,25=22,69\% \end{cases}$
$b\bigg)$
Bảo toàn H: $n_{HCl}=2n_{H_2}=0,64(mol)$
$\to C_{M_{HCl}}=\dfrac{0,64}{0,2}=3,2M$
$\to a=3,2$
$c\bigg)$
Dung dịch sau gồm $MgCl_2,FeCl_2,AlCl_3$
Bảo toàn $Mg,Al,Fe:n_{MgCl_2}=0,12(mol);n_{AlCl_3}=n_{FeCl_2}=0,08(mol)$
$\to C_{M_{MgCl_2}}=\dfrac{0,12}{0,2}=0,6M$
$\to C_{M_{AlCl_3}}=C_{M_{FeCl_2}}=\dfrac{0,08}{0,2}=0,4M$
$a\bigg)$
Đặt $n_{Mg}=x;n_{Fe}=y;n_{Al}=z$
$\to 24x+56y+27z=9,52(1)$
$n_{H_2}=\dfrac{14,336}{22,4}=0,64(mol)$
$n_{Cl_2}=\dfrac{8,064}{22,4}=0,36(mol)$
BTe: $x+y+1,5z=n_{H_2}=0,64(2)$
BTe: $x+1,5y+1,5z=n_{Cl_2}=0,36(3)$
Từ $(1)(2)(3)\to$ nghiệm âm, xem lại đề
![](https://rs.olm.vn/images/avt/0.png?1311)
Câu 1:
\(n_{H_2}=\dfrac{2.91362}{22.4}=0.13mol\)
\(Mg+H_2SO_4\rightarrow MgSO_4+H_2\)
a a a a
\(2Al+3H_2SO_4\rightarrow Al_2\left(SO_4\right)_3+3H_2\)
2b 3b b 3b
Ta có: \(\left\{{}\begin{matrix}24a+54b=2.58\\a+3b=0.13\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0.04\\b=0.03\end{matrix}\right.\)
\(m_{Mg}=0.04\times24=0.96g\)
\(m_{Al}=0.03\times2\times27=1.62g\)
\(V_{H_2SO_4}=\dfrac{0.04+3\times0.03}{0.5}=0.26l\)
Câu 2:
\(n_{H_2}=\dfrac{3.136}{22.4}=0.14mol\)
\(Mg+H_2SO_4\rightarrow MgSO_4+H_2\)
a a a a
\(Fe+H_2SO_4\rightarrow FeSO_4+H_2\)
b b b b
Ta có: \(\left\{{}\begin{matrix}24a+56b=4.96\\a+b=0.14\end{matrix}\right.\)\(\Leftrightarrow\left\{{}\begin{matrix}a=0.09\\b=0.05\end{matrix}\right.\)
\(m_{Mg}=0.09\times24=2.16g\)
\(m_{Fe}=0.05\times56=2.8g\)
\(C\%_{H_2SO_4}=\dfrac{0.14\times98\times100}{200}=6.86\%\)
Câu 3:
\(n_{H_2}=\dfrac{1.568}{22.4}=0.07mol\)
\(Ba+H_2SO_4\rightarrow BaSO_4+H_2\)
a a a a
\(Mg+H_2SO_4\rightarrow MgSO_4+H_2\)
b b b b
Ta có: \(\left\{{}\begin{matrix}137a+24b=3.94\\a+b=0.07\end{matrix}\right.\)\(\Leftrightarrow\left\{{}\begin{matrix}a=0.02\\b=0.05\end{matrix}\right.\)
\(m_{Ba}=0.02\times137=2.74g\)
\(m_{Mg}=0.05\times24=1.2g\)
\(CM_{H_2SO_4}=\dfrac{0.07}{0.1}=0.7M\)
24nMg + 64nCu = 8,8 (1)
Ta có: nCl2 = 0,2 (mol)
BT e, có: 2nMg + 2nCu = 2nCl2 = 0,4 (2)
Từ (1) và (2) ⇒ nMg = nCu = 0,1 (mol)
⇒ mMg = 0,1.24 = 2,4 (g)
mCu = 0,1.64 = 6,4 (g)