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:\(n_{H_2}=\dfrac{n_{HCl}}{2}=\dfrac{3n_{AlCl_3}+2n_{FeCl_2}}{2}\\ =\dfrac{3\cdot0,0896+2\cdot0,205}{2}=0,3394mol\\ \Rightarrow V_{H_2}=0,3394\cdot22,4\approx7,6l\)

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 

\(m_{NaOH}=\dfrac{100.8}{100}=8\left(g\right)\)

\(n_{NaOH}=\dfrac{8}{40}=0,2\left(mol\right)\)

\(V_{HCldư}=\dfrac{n}{C_M}=\dfrac{0,2}{0,5}=0,4\left(l\right)\)

\(V_{HCl}=V_{HClđủ}+V_{HCldư}=1,4+0,4=1,8\left(l\right)\)

\(Đặt:n_{Mg}=a\left(mol\right);n_{Al}=b\left(mol\right)\left(a,b>0\right)\\ PTHH:Mg+2HCl\rightarrow MgCl_2+H_2\\ 2Al+6HCl\rightarrow2AlCl_3+3H_2\\ \Rightarrow\left\{{}\begin{matrix}24a+27b=5,1\\22,4a+22,4.1,5.b=5,6\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0,1\\b=0,1\end{matrix}\right.\\ a,\Rightarrow\%m_{Mg}=\dfrac{0,1.24}{5,1}.100\approx47,059\%\\ \Rightarrow\%m_{Al}\approx100\%-47,059\%\approx52,941\%\\ b,n_{HCl}=2.n_{H_2}=2.\left(0,1+0,1.1,5\right)=0,5\left(mol\right)\\ \Rightarrow V_{ddHCl}=\dfrac{0,5}{2}=0,25\left(l\right)\)

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)\(\Sigma n_{HCl}=2x+3y=2\cdot0,1+3\cdot0,1=0,5mol\)

\(V=\dfrac{n}{C_M}=\dfrac{0,5}{2}=0,25l=250ml\)

1.GS có 100g dd $HCl$

=>m$HCl$=100.20%=20g

=>n$HCl$=20/36,5=40/73 mol

=>n$H2$=20/73 mol

Gọi n$Fe$(X)=a mol n$Mg$(X)=b mol

=>n$HCl$=2a+2b=40/73
mdd sau pứ=56a+24b+100-40/73=56a+24b+99,452gam

m$MgCl2$=95b gam

C% dd $MgCl2$=11,79%=>95b=11,79%(56a+24b+99,452)

=>92,17b-6,6024a=11,725

=>a=0,13695 mol và b=0,137 mol

=>C%dd $FeCl2$=127.0,13695/mdd.100%=15,753%

2.Bảo toàn klg=>mhh khí bđ=m$C2H2$+m$H2$

=0,045.26+0,1.2=1,37 gam

mC=mA-mbình tăng=1,37-0,41=0,96 gam

HH khí C gồm $H2$ dư và $C2H6$ không bị hấp thụ bởi dd $Br2$ gọi số mol lần lượt là a và b mol

Mhh khí=8.2=16 g/mol

mhh khí=0,96=2a+30b

nhh khí=0,06=a+b

=>a=b=0,03 mol

Vậy n$H2$=n$C2H6$=0,03 mol

ta có 200cm3=0,2 lítn hcl=2*0,2=0,4 molgọi số mol của caco3 là a,na2co3 là bcaco3 + 2hcl -> cacl2 + co2 + h2oa(mol)---2a(mol)--a-------a--------ana2co3 + 2hcl -> 2nacl + co2 + h2ob(mol)---2b(mol)---2b-------b------bta có100a+106b=20,62a+2b=0,4=> a=b=0,1 mol=> m caco3=10g; m na2co3=10,6 g 

PTHH: \(Na_2CO_3+2HCl\rightarrow2NaCl+H_2O+CO_2\uparrow\)  (1)

            \(CaCO_3+2HCl\rightarrow CaCl_2+H_2O+CO_2\uparrow\)  (2)

a) Ta có: \(\Sigma n_{HCl}=0,2\cdot2=0,4\left(mol\right)\)

Gọi số mol của Na₂CO₃ là \(a\) \(\Rightarrow n_{HCl\left(1\right)}=2a\left(mol\right)\)

Gọi số mol của CaCO₃ là \(b\) \(\Rightarrow n_{HCl\left(2\right)}=2b\left(mol\right)\)

Ta lập được hệ phương trình:

\(\left\{{}\begin{matrix}2a+2b=0,4\\106a+100b=20,6\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}a=0,1\\b=0,1\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}m_{CaCO_3}=0,1\cdot100=10\left(g\right)\\m_{Na_2CO_3}=10,6\left(g\right)\end{matrix}\right.\)

b) Theo PTHH: \(\left\{{}\begin{matrix}n_{NaCl}=2n_{Na_2CO_3}=0,2mol\\n_{CaCl_2}=n_{CaCO_3}=0,1mol\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}m_{NaCl}=0,2\cdot58,5=11,7\left(g\right)\\m_{CaCl_2}=0,1\cdot111=11,1\left(g\right)\end{matrix}\right.\)

Mặt khác: \(\left\{{}\begin{matrix}m_{CO_2}=0,2\cdot44=8,8\left(g\right)\\m_{ddHCl}=200\cdot1,2=240\left(g\right)\end{matrix}\right.\)

\(\Rightarrow m_{dd\left(saup/ư\right)}=m_{hh}+m_{ddHCl}-m_{CO_2}=251,8\left(g\right)\)

\(\Rightarrow\left\{{}\begin{matrix}C\%_{NaCl}=\dfrac{11,7}{251,8}\cdot100\%\approx4,65\%\\C\%_{CaCl_2}=\dfrac{11,1}{251,8}\cdot100\%\approx4,41\%\end{matrix}\right.\)

Câu 1:

Gọi : nMg=a(mol); nMgO=b(mol) (a,b>0)

a) PTHH: Mg + 2 HCl -> MgCl2 + H2

a________2a_______a______a(mol)

MgO +2 HCl -> MgCl2 + H2O

b_____2b_______b___b(mol)

Ta có hpt:

\(\left\{{}\begin{matrix}24a+40b=8,8\\22,4a=4,48\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0,2\\b=0,1\end{matrix}\right.\)

=> mMg=0,2.24=4,8(g)

=>%mMg= (4,8/8,8).100=54,545%

=> %mMgO= 45,455%

b) m(muối)=mMg2+ + mCl- = 0,3. 24 + 0,6.35,5=28,5(g)

c) V=VddHCl=(2a+2b)/2=0,3(l)=300(ml)

Câu 2:

Ta có: \(\left\{{}\begin{matrix}n_{H_2}=\dfrac{4,48}{22,4}=0,2\left(mol\right)\\n_{HCl}=0,4\cdot2=0,8\left(mol\right)\end{matrix}\right.\)

PTHH: \(Ca+2HCl\rightarrow CaCl_2+H_2\uparrow\)

               0,2____0,4_____0,2____0,2   (mol)

           \(CaO+2HCl\rightarrow CaCl_2+H_2O\)

                0,2____0,4______0,2____0,2  (mol)

Ta có: \(\left\{{}\begin{matrix}\%m_{Ca}=\dfrac{0,2\cdot40}{0,2\cdot40+0,2\cdot56}\cdot100\%\approx41,67\%\\\%m_{CaO}=58,33\%\\m_{CaCl_2}=\left(0,2+0,2\right)\cdot111=44,4\left(g\right)\end{matrix}\right.\)

a, \(Mg+2HCl\rightarrow MgCl_2+H_2\)

b, \(n_{H_2}=\dfrac{9,916}{24,79}=0,4\left(mol\right)\)

Theo PT: \(n_{Mg}=n_{MgCl_2}=n_{H_2}=0,4\left(mol\right)\)

\(\Rightarrow m_{Mg}=0,4.24=9,6\left(g\right)\)

c, \(m_{MgCl_2}=0,4.95=38\left(g\right)\)

d, Bạn bổ sung thêm thể tích dd HCl nhé.

Gọi \(\left\{{}\begin{matrix}n_{Al}=x\left(mol\right)\\n_{Zn}=y\left(mol\right)\end{matrix}\right.\)

\(n_{HCl}=0,2\cdot4=0,8mol\)

\(2Al+6HCl\rightarrow2AlCl_3+3H_2\)

\(x\)   \(\rightarrow\)   \(3x\)            \(x\)

\(Zn+2HCl\rightarrow ZnCl_2+H_2\)

 \(y\)   \(\rightarrow\) \(2y\)            \(y\)

\(\Rightarrow\left\{{}\begin{matrix}27x+65y=11,9\\3x+2y=0,8\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=0,2\\y=0,1\end{matrix}\right.\)

a)\(\%m_{Al}=\dfrac{0,2\cdot27}{11,9}\cdot100\%=45,38\%\)

\(\%m_{Zn}=100\%-45,38\%=54,62\%\)

b)\(\Sigma n_{H_2}=\dfrac{3}{2}x+y=\dfrac{3}{2}\cdot0,2+0,1=0,4mol\)

\(V_{H_2}=0,4\cdot22.4=8,96l\)