Bài 2: Hòa tan 16 g hỗn hợp CuO và MgO vào dung dịch HCl dư. Sau phản ứng thu được 32,5 g muối.
a. Tính thành phần % theo khối lượng mỗi chất trong hỗn hợp ban đầu.
b. Tính khối lượng mỗi muối thu được sau phản ứng.
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\(n_{H_2}=\dfrac{7,84}{22,4}=0,35mol\)
Gọi \(\left\{{}\begin{matrix}n_{Fe}=x\\n_{Zn}=y\end{matrix}\right.\)
\(Fe+2HCl\rightarrow FeCl_2+H_2\)
x x ( mol )
\(Zn+2HCl\rightarrow ZnCl_2+H_2\)
y y ( mol )
Ta có:
\(\left\{{}\begin{matrix}56x+65y=21,4\\x+y=0,35\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}x=0,15\\y=0,2\end{matrix}\right.\)
\(\Rightarrow m_{Fe}=0,15.56=8,4g\)
\(\Rightarrow m_{Zn}=0,2.65=13g\)
\(\%m_{Fe}=\dfrac{8,4}{21,4}.100=39,25\%\)
\(\%m_{Zn}=100\%-39,25\%=60,75\%\)
\(m_{FeCl_2}=0,15.127=19,05g\)
\(m_{ZnCl_2}=0,2.136=27,2g\)
\(Đặt:n_{MnO_2}=a\left(mol\right),n_{KMnO_4}=b\left(mol\right)\)
\(m_{hh}=87a+158b=37.96\left(g\right)\left(1\right)\)
\(n_{Cl_2}=\dfrac{10.08}{22.4}=0.45\left(mol\right)\)
\(2KMnO_4+16HCl\rightarrow2KCl+2MnCl_2+5Cl_2+8H_2O\)
\(MnO_2+4HCl\rightarrow MnCl_2+Cl_2+2H_2O\)
\(n_{Cl_2}=a+2.5b=0.45\left(mol\right)\left(2\right)\)
\(\left(1\right),\left(2\right):a=0.4,b=0.02\)
\(\%MnO_2=\dfrac{0.4\cdot87}{37.96}\cdot100\%=91.68\%\\\%KMnO_4=100-91.68=8.32\% \)
\(m_M=m_{KCl}+m_{MnCl_2}=0.02\cdot74.5+\left(0.4+0.02\right)\cdot126=54.41g\)
\(n_{HCl}=0,3.2=0,6\left(mol\right)\\ n_{H_2}=\dfrac{5,6}{22,4}=0,25\left(mol\right)\\ 2Al+6HCl\rightarrow2AlCl_3+3H_2\\ Fe+2HCl\rightarrow FeCl_2+H_2\\ Vì:\dfrac{0,6}{2}>\dfrac{0,25}{1}\Rightarrow HCldư\\ Đặt:n_{Al}=t\left(mol\right);n_{Fe}=r\left(mol\right)\\ \left(t,r>0\right)\\ \Rightarrow\left\{{}\begin{matrix}27t+56r=8,3\\1,5t+r=0,25\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}t=0,1\\r=0,1\end{matrix}\right.\\ \Rightarrow m_{Al}=0,1.27=2,7\left(g\right);m_{Fe}=0,1.56=5,6\left(g\right)\\ b,n_{AlCl_3}=n_{Al}=0,1\left(mol\right)\Rightarrow m_{AlCl_3}=0,1.133,5=13,35\left(g\right)\\ n_{Fe}=n_{FeCl_2}=0,1\left(mol\right)\Rightarrow m_{ddFeCl_2}=127.0,1=12,7\left(g\right)\\ m_{ddHCl}=300.1,15=345\left(g\right)\\ m_{ddsau}=8,3+345-0,25.2=352,8\left(g\right)\)
\(n_{HCl\left(dư\right)}=0,6-0,25.2=0,1\left(mol\right)\\ \Rightarrow m_{ddHCl}=0,1.36,5=3,65\left(g\right)\\ C\%_{ddHCl\left(dư\right)}=\dfrac{3,65}{352,8}.100\approx1,035\%\\ C\%_{ddAlCl_3}=\dfrac{13,35}{352,8}.100\approx3,784\%\\ C\%_{ddFeCl_2}=\dfrac{12,7}{352,8}.100\approx3,6\%\)
m(Zn,Mg)=25-6,5= 18,5(g)
nHCl(p.ứ)= 0,8.2 : 125%= 1,28(mol)
PTHH: Zn + 2 HCl -> ZnCl2 + H2
x__________2x_____x____x(mol)
Mg + 2 HCl -> MgCl2 + H2
y______2y____y_____y(mol)
Ta có hpt:
\(\left\{{}\begin{matrix}65x+24y=18,5\\2x+2y=1,28\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=\dfrac{157}{2050}\\y=\dfrac{231}{410}\end{matrix}\right.\)
=>
\(\%mAg=\dfrac{6,5}{25}.100=26\%\\ \%mZn=\dfrac{\dfrac{157}{2050}.65}{25}.100\approx19,912\%\\ \rightarrow\%mMg\approx54,088\%\)
nH2 = \(\dfrac{3,36}{22,4}=0,15\left(mol\right)\)
Fe + 2HCl ---> FeCl2 + H2
0,15 0,3 0,15 0,15
mFe = 0,15.56 = 8,4 (g)
mFe2O3 = 24,4 - 8,4 = 16 (g)
nFe2O3 = \(\dfrac{16}{160}=0,1\left(mol\right)\)
%mFe = \(\dfrac{8,4}{24,4}=34,42\%\)
%mFe2O3 = \(100\%-34,42\%=65,58\%\)
Fe2O3 + 6HCl ---> 2FeCl3 + 3H2O
0,1 0,6 0,2 0,3
nHCl (ban đầu) = 0,8.1,5 = 1,2 (mol)
nHCl (dư) = 1,2 - 0,3 - 0,6 = 0,3 (mol)
=> \(\left\{{}\begin{matrix}C_{MFeCl_3}=\dfrac{0,2+0,15}{0,8}=0,4375M\\C_{MHCl\left(dư\right)}=\dfrac{0,3}{0,8}=0,375M\end{matrix}\right.\)
PTHH:
FeCl3 + 3NaOH ---> Fe(OH)3 + 3NaCl
0,35 1,05
HCl + NaOH ---> NaCl + H2O
0,3 0,3
=> \(V_{ddNaOH}=\dfrac{1,05+0,3}{1}=1,35\left(l\right)=1350\left(ml\right)\)
Gọi \(\left\{{}\begin{matrix}n_{CuO}=x\\n_{MgO}=y\end{matrix}\right.\)
\(CuO+2HCl\rightarrow CuCl_2+H_2O\)
x x ( mol )
\(MgO+2HCl\rightarrow MgCl_2+H_2O\)
y y ( mol )
Ta có:
\(\left\{{}\begin{matrix}80x+40y=16\\135x+95y=32,5\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}x=0,1\\y=0,2\end{matrix}\right.\)
\(\Rightarrow m_{CuO}=0,1.80=8g\)
\(\Rightarrow m_{MgO}=0,2.40=8g\)
\(\%m_{CuO}=\dfrac{8}{16}.100=50\%\)
\(\%m_{MgO}=\dfrac{8}{16}.100=50\%\)
\(m_{CuCl_2}=0,1.135=13,5g\)
\(m_{MgCl_2}=0,2.95=19g\)