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Gọi số mol H2 sinh ra là a (mol)
=> nHCl = 2a (mol)
Theo ĐLBTKL: mkim loại + mHCl = mmuối + mH2
=> 17,5 + 36,5.2a = 31,7 + 2a
=> a = 0,2 (mol)
=> V = 0,2.22,4 = 4,48 (l)
mCl-=mA-mKL=14,2g⇒nCl-=0,4⇒nH2=0,2(mol)⇒V=0,2.22,4=4,48(l)
nH2= 0,35(mol)
a) PTHH: Mg + 2 HCl -> MgCl2 + H2
x_________2x_______x______x(mol)
PTHH: Fe + 2 HCl -> FeCl2 + H2
y________2y________y_____y(mol)
Ta có hpt: \(\left\{{}\begin{matrix}24x+56y=13,2\\x+y=0,35\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=0,2\\y=0,15\end{matrix}\right.\)
b) m=m(muối khan)= mMgCl2 + mFeCl2= 95.x+127y=95.0,2+127.0,15= 38,05(g)
a)
Gọi
\(n_{Fe} = a(mol) ; n_{Mg} = b(mol)\\ \Rightarrow 56a + 24b = 13,2(1)\)
\(Mg + 2HCl \to MgCl_2 + H_2\\ Fe + 2HCl \to FeCl_2 + H_2\)
Theo PTHH : \(n_{H_2} = a + b = 0,35(mol)\)(2)
Từ (1)(2) suy ra a = 0,15 ;b = 0,2
Vậy :
\(\%m_{Fe} = \dfrac{0,15.56}{13,2}.100\% = 63,64\%\\ \Rightarrow m_{Mg} = 100\% - 63,64\% = 36,36\%\)
b)
Ta có :\(n_{HCl} = 2n_{H_2} = 0,7(mol)\)
Bảo toàn khối lượng :
\(m_{muối} = m_{kim\ loại} + m_{HCl} - m_{H_2} = 13,2 + 0,7.36,5 - 0,35.2=38,05(gam)\)
Sửa đề: đktc → đkc
a, \(Mg+2HCl\rightarrow MgCl_2+H_2\)
\(Fe+2HCl\rightarrow FeCl_2+H_2\)
Ta có: 24nMg + 56nFe = 13,2 (1)
\(n_{H_2}=\dfrac{8,6765}{24,79}=0,35\left(mol\right)\)
Theo PT: \(n_{H_2}=n_{Mg}+n_{Fe}=0,35\left(2\right)\)
Từ (1) và (2) \(\Rightarrow\left\{{}\begin{matrix}n_{Mg}=0,2\left(mol\right)\\n_{Fe}=0,15\left(mol\right)\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}\%m_{Mg}=\dfrac{0,2.24}{13,2}.100\%\approx36,36\%\\\%m_{Fe}\approx63,64\%\end{matrix}\right.\)
b, Theo PT: \(\left\{{}\begin{matrix}n_{MgCl_2}=n_{Mg}=0,2\left(mol\right)\\n_{FeCl_2}=n_{Fe}=0,15\left(mol\right)\end{matrix}\right.\)
⇒ m muối khan = 0,2.95 + 0,15.127 = 38,05 (g)
\(2Al+6HCl\rightarrow2AlCl_3+3H_2\)
x 3x x 1,5x
\(Fe+2HCl\rightarrow FeCl_2+H_2\)
y 2y y y
\(\left\{{}\begin{matrix}27x+56y=22\\1,5x+y=\dfrac{17,92}{22,4}\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=0,4\\y=0,2\end{matrix}\right.\)
\(m_{Al}=0,4\cdot27=10,8g\)
\(m_{Fe}=22-10,8=11,2g\)
\(m_{HCl}=36,5\cdot\left(3x+2y\right)=36,5\cdot\left(3\cdot0,4+2\cdot0,2\right)=58,4g\)
\(m_{ddHCl}=\dfrac{m_{HCl}}{C\%}\cdot100\%=\dfrac{58,4}{25\%}\cdot100\%=233,6g\)
\(Đặt:n_{Al}=u\left(mol\right);n_{Fe}=v\left(mol\right)\left(u,v>0\right)\\ n_{H_2}=\dfrac{17,92}{22,4}=0,8\left(mol\right)\\ PTHH:Fe+2HCl\rightarrow FeCl_2+H_2\\ 2Al+6HCl\rightarrow2AlCl_3+3H_2\\ \Rightarrow\left\{{}\begin{matrix}27a+56u=22\\1,5a+u=0,8\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0,4\\u=0,2\end{matrix}\right.\\ \Rightarrow m_{Al}=0,4.27=10,8\left(g\right);m_{Fe}=56.0,2=11,2\left(g\right)\\ n_{HCl}=2.0,8=1,6\left(mol\right)\\ m_{HCl}=1,6.36,5=58,4\left(g\right)\\ m_{ddHCl}=\dfrac{58,4.100}{25}=233,6\left(g\right)\)
\(Đặt:n_{Mg}=a\left(mol\right);n_{Al}=b\left(mol\right)\left(a,b>0\right)\\ PTHH:Mg+2HCl\rightarrow MgCl_2+H_2\\ 2Al+6HCl\rightarrow2AlCl_3+3H_2\\ \Rightarrow\left\{{}\begin{matrix}24a+27b=5,1\\22,4a+22,4.1,5.b=5,6\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0,1\\b=0,1\end{matrix}\right.\\ a,\Rightarrow\%m_{Mg}=\dfrac{0,1.24}{5,1}.100\approx47,059\%\\ \Rightarrow\%m_{Al}\approx100\%-47,059\%\approx52,941\%\\ b,n_{HCl}=2.n_{H_2}=2.\left(0,1+0,1.1,5\right)=0,5\left(mol\right)\\ \Rightarrow V_{ddHCl}=\dfrac{0,5}{2}=0,25\left(l\right)\)
a)\(Mg+2HCl\rightarrow MgCl_2+H_2\uparrow\)
x 2x x x
\(2Al+6HCl\rightarrow2AlCl_3+3H_2\)
y 3y y 1,5y
Ta có hệ:
\(\left\{{}\begin{matrix}24x+27y=5,1\\x+1,5y=\dfrac{5,6}{22,4}=0,25\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=0,1\\y=0,1\end{matrix}\right.\)
\(\%m_{Mg}=\dfrac{0,1\cdot24}{5,1}\cdot100\%=47,06\%\)
\(\%m_{Al}=100\%-47,06\%=52,94\%\)
b)\(\Sigma n_{HCl}=2x+3y=2\cdot0,1+3\cdot0,1=0,5mol\)
\(V=\dfrac{n}{C_M}=\dfrac{0,5}{2}=0,25l=250ml\)
Gọi n Fe = a (mol )
n Mg = b (mol ) (a,b > 0)
--> 56a+24b = 13,2
\(Fe+2HCl\rightarrow FeCl_2+H_2\uparrow\)
a 2a a a
\(Mg+2HCl\rightarrow MgCl_2+H_2\uparrow\)
b 2b b b
----> a+b=0,35
Ta có hệ Pt :
\(\left\{{}\begin{matrix}56a+24b=13,2\\a+b=0,35\end{matrix}\right.\)
Giải hệ PT , ta có :
a= 0,15
b = 0,2 (mol )
\(V_{HClđủ}=\left(0,15.2+0,2.2\right):0,5=1,4\left(l\right)\)
\(a,m_{Fe}=0,15.56=8,4\left(g\right)\)
\(m_{Mg}=0,2.24=4,8\left(g\right)\)
\(\%m_{Fe}=\dfrac{8,4}{13,2}.100\%\approx63,64\%\)
\(\%m_{Mg}=\dfrac{4,8}{13,2}.100\%\approx36,36\%\)
\(b,m_{FeCl_2}=0,15.127=19,05\left(g\right)\)
\(m_{MgCl_2}=0,2.95=19\left(g\right)\)
\(c,HCl+NaOH\rightarrow NaCl+H_2O\)
0,2 0,2
\(m_{NaOH}=\dfrac{100.8}{100}=8\left(g\right)\)
\(n_{NaOH}=\dfrac{8}{40}=0,2\left(mol\right)\)
\(V_{HCldư}=\dfrac{n}{C_M}=\dfrac{0,2}{0,5}=0,4\left(l\right)\)
\(V_{HCl}=V_{HClđủ}+V_{HCldư}=1,4+0,4=1,8\left(l\right)\)
a)Gọi x,y lần lượt là số mol của Al, Fe trong hỗn hợp ban đầu (x,y>0)
Sau phản ứng hỗn hợp muối khan gồm: \(\left\{{}\begin{matrix}AlCl_3:x\left(mol\right)\\FeCl_2:y\left(mol\right)\end{matrix}\right.\)
Ta có hệ phương trình: \(\left\{{}\begin{matrix}27x+56y=13,9\\133,5x+127y=38\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x\approx0,0896\\y\approx0,205\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}\%m_{Al}=\dfrac{0,0896\cdot27\cdot100\%}{13,9}\approx17,4\%\\\%m_{Fe}=\dfrac{0,205\cdot56\cdot100\%}{13,9}\approx82,6\%\end{matrix}\right.\)
Theo Bảo toàn nguyên tố Cl, H ta có:\(n_{H_2}=\dfrac{n_{HCl}}{2}=\dfrac{3n_{AlCl_3}+2n_{FeCl_2}}{2}\\ =\dfrac{3\cdot0,0896+2\cdot0,205}{2}=0,3394mol\\ \Rightarrow V_{H_2}=0,3394\cdot22,4\approx7,6l\)