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2. Hòa tan hoàn toàn 32,8 gam hỗn hợp gồm CuO và Fe tác dụng với dung dịch HCl thu được 65,1g muối. Tính % khối lượng mỗi chất trong hỗn hợp ban đầu ?
---------------------------------------Giải--------------------------------------
PTHH : \(CuO+2HCl\rightarrow CuCl_2+H_2O\)
\(Fe+2HCl\rightarrow FeCl_2+H_2\)
Đặt x_nCuO; y_nFe . Ta có hệ : \(\left\{{}\begin{matrix}80x+56y=32,8\\135x+127y=65,1\end{matrix}\right.\)\(\Leftrightarrow\left\{{}\begin{matrix}x=0,2\\y=0,3\end{matrix}\right.\)
\(\Rightarrow\%m_{CuO}=\frac{0,2.80}{32,8}.100=48,78\%\)
\(\Rightarrow\%m_{Fe}=100-48,78=51,22\%\)
a) \(n_{AlCl_3}=\dfrac{6,675}{133,5}=0,05\left(mol\right)\)
PTHH: 2Al + 6HCl --> 2AlCl3 + 3H2
0,05<-----------0,05---->0,075
=> \(\%Al=\dfrac{0,05.27}{14,15}.100\%=9,54\%\)
=> \(\%Cu=\dfrac{14,15-0,05.27}{14,15}.100\%=90,46\%\)
b) \(V_{H_2}=0,075.22,4=1,68\left(l\right)\)
c) \(n_{Cu}=\dfrac{14,15-0,05.27}{64}=0,2\left(mol\right)\)
PTHH: 4Al + 3O2 --to--> 2Al2O3
0,05->0,0375
2Cu + O2 --to--> 2CuO
0,2-->0,1
=> \(V_{O_2}=\left(0,1+0,0375\right).22,4=3,08\left(l\right)\)
\(2Al+6HCl\rightarrow2AlCl_3+3H_2\\ m_{AlCl_3}=6,675\left(mol\right)\\ n_{AlCl_3}=\dfrac{6,675}{133,5}=0,05\left(mol\right)\\ \Rightarrow n_{Al}=n_{AlCl_3}=0,05\left(mol\right)\\ \Rightarrow m_A=0,05.27=1,35\left(g\right);m_{Cu}=14,15-1,35=12,8\left(g\right)\\ \%m_{Cu}=\dfrac{12,8}{14,15}.100\approx90,459\%\\ \Rightarrow\%m_{Al}\approx9,541\%\\ b,n_{Cu}=\dfrac{12,8}{64}=0,2\left(mol\right)\\ n_{H_2}=\dfrac{3}{2}.n_{Al}=\dfrac{3}{2}.0,05=0,075\left(mol\right)\\ \Rightarrow V=V_{H_2\left(đktc\right)}=0,075.22,4=1,68\left(l\right)\\ 4Al+3O_2\rightarrow\left(t^o\right)2Al_2O_3\\ 2Cu+O_2\rightarrow\left(t^o\right)2CuO\\ n_{O_2}=\dfrac{3}{4}.n_{Al}+\dfrac{1}{2}.n_{Cu}=\dfrac{3}{4}.0,05+\dfrac{1}{2}.0,2=0,0875\left(mol\right)\)
\(\Rightarrow V_{O_2\left(đktc\right)}=0,0875.22,4=1,96\left(l\right)\)
-
Fe2O3 + 6HCl --> 2FeCl3 + 3H2O
Mg + 2HCl --> MgCl2 + H2
-
\(n_{H_2}=\dfrac{4,48}{22,4}=0,2\left(mol\right)\)
\(n_{HCl}=\dfrac{200.18,25}{100.36,5}=1\left(mol\right)\)
PTHH: Mg + 2HCl --> MgCl2 + H2
0,2<----0,4<---------------0,2
Fe2O3 + 6HCl --> 2FeCl3 + 3H2O
0,1<-----0,6
=> \(\left\{{}\begin{matrix}\%Mg=\dfrac{0,2.24}{0,2.24+0,1.160}.100\%=23,077\%\\\%Fe_2O_3=\dfrac{0,1.160}{0,2.24+0,1.160}.100\%=76,923\%\end{matrix}\right.\)
\(n_{H_2}=\dfrac{17,353}{24,79}=0,7\left(mol\right)\\ Đặt:n_{Al}=a\left(mol\right);n_{Fe}=b\left(mol\right)\left(a,b>0\right)\\ PTHH:2Al+6HCl\rightarrow2AlCl_3+3H_2\\ Fe+2HCl\rightarrow FeCl_2+H_2\\ \Rightarrow\left\{{}\begin{matrix}27a+56b=27,8\\1,5a+b=0,7\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0,2\\b=0,4\end{matrix}\right.\\ a,\%m_{Al}=\dfrac{0,2.27}{27,8}.100\%=19,424\%\\\Rightarrow\%m_{Fe}=80,576\%\\ b,n_{HCl}=3a+2b=1,4\left(mol\right)\\ m_{ddHCl}=\dfrac{1,4.36,5.100}{20}=255,5\left(g\right) \Rightarrow4\approx\approx\approx\Rightarrow FeHCm=\)
\(n_{HCl}=0,3.2=0,6\left(mol\right)\\ n_{H_2}=\dfrac{5,6}{22,4}=0,25\left(mol\right)\\ 2Al+6HCl\rightarrow2AlCl_3+3H_2\\ Fe+2HCl\rightarrow FeCl_2+H_2\\ Vì:\dfrac{0,6}{2}>\dfrac{0,25}{1}\Rightarrow HCldư\\ Đặt:n_{Al}=t\left(mol\right);n_{Fe}=r\left(mol\right)\\ \left(t,r>0\right)\\ \Rightarrow\left\{{}\begin{matrix}27t+56r=8,3\\1,5t+r=0,25\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}t=0,1\\r=0,1\end{matrix}\right.\\ \Rightarrow m_{Al}=0,1.27=2,7\left(g\right);m_{Fe}=0,1.56=5,6\left(g\right)\\ b,n_{AlCl_3}=n_{Al}=0,1\left(mol\right)\Rightarrow m_{AlCl_3}=0,1.133,5=13,35\left(g\right)\\ n_{Fe}=n_{FeCl_2}=0,1\left(mol\right)\Rightarrow m_{ddFeCl_2}=127.0,1=12,7\left(g\right)\\ m_{ddHCl}=300.1,15=345\left(g\right)\\ m_{ddsau}=8,3+345-0,25.2=352,8\left(g\right)\)
\(n_{HCl\left(dư\right)}=0,6-0,25.2=0,1\left(mol\right)\\ \Rightarrow m_{ddHCl}=0,1.36,5=3,65\left(g\right)\\ C\%_{ddHCl\left(dư\right)}=\dfrac{3,65}{352,8}.100\approx1,035\%\\ C\%_{ddAlCl_3}=\dfrac{13,35}{352,8}.100\approx3,784\%\\ C\%_{ddFeCl_2}=\dfrac{12,7}{352,8}.100\approx3,6\%\)
\(Đặt:\left\{{}\begin{matrix}Fe:x\left(mol\right)\\Zn:y\left(mol\right)\end{matrix}\right.\\ Fe+2HCl\rightarrow FeCl_2+H_2\\ Zn+2HCl\rightarrow ZnCl_2+H_2\\ Tacó:\left\{{}\begin{matrix}56x+65y=5,3\\x+y=0,25\end{matrix}\right.\\ \Rightarrow\left\{{}\begin{matrix}x=1,2\\y=-0,97\end{matrix}\right.\left(vô\:lí\right)\)
Em xem lại đề nha!
nHCl = 0,3.0,3 = 0,09 (mol)
\(n_{H_2}=\dfrac{0,672}{22,4}=0,03\left(mol\right)\)
PTHH: 2Al + 6HCl --> 2AlCl3 + 3H2
0,02<-0,06<------------0,03
CuO + 2HCl --> CuCl2 + H2O
0,015<-0,03
=> \(\left\{{}\begin{matrix}m_{Al}=0,02.27=0,54\left(mol\right)\\m_{CuO}=0,015.80=1,2\left(g\right)\end{matrix}\right.\)
\(n_{HCl}=0,3\cdot0,3=0,09mol\)
\(n_{H_2}=\dfrac{0,672}{22,4}=0,03mol\)
\(CuO+2HCl\rightarrow CuCl_2+H_2O\)
\(2Al+6HCl\rightarrow2AlCl_3+3H_2\)
0,02 0,06 0,03
\(\Rightarrow n_{HCl\left(CuO\right)}=0,09-0,06=0,03mol\)
\(\Rightarrow n_{CuO}=n_{HCl}=0,03mol\) (theo pt)
\(\Rightarrow m_{CuO}=0,03\cdot80=2,4g\)
\(m_{Al}=0,02\cdot27=0,54g\)
\(n_{H_2}=\dfrac{0,672}{22,4}=0,03\left(mol\right)\)
PTHH:
2Al + 6HCl ---> 2AlCl3 + 3H2
0,02 0,06 0,03
nHCl = 0,3.0,3 = 0,09 (mol)
nHCl (CuO) = 0,09 - 0,06 = 0,03 (mol)
CuO + 2HCl ---> CuCl2 + H2O
0,015 0,03
\(\rightarrow\left\{{}\begin{matrix}m_{Al}=0,02.27=0,54\left(g\right)\\m_{CuO}=0,015.80=1,2\left(g\right)\end{matrix}\right.\)
P/s: mình có thấy chị Hương Giang làm nhưng sai phần tính số mol của CuO "\(n_{CuO}=n_{HCl}\) (theo pt)"
Chia nhỏ câu hỏi ra nhìn rối lắm !