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a) Đặt \(\left\{{}\begin{matrix}n_{Al}=a\left(mol\right)\\n_{Mg}=b\left(mol\right)\end{matrix}\right.\) \(\Rightarrow27a+24b=1,26\) (1)
Ta có: \(n_{H_2}=\dfrac{1,344}{22,4}=0,06\left(mol\right)\)
Bảo toàn electron: \(3a+2b=0,12\) (2)
Từ (1) và (2) \(\Rightarrow\left\{{}\begin{matrix}a=n_{Al}=0,02\left(mol\right)\\b=n_{Mg}=0,03\left(mol\right)\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}\%m_{Al}=\dfrac{0,02\cdot27}{1,26}\cdot100\%\approx42,86\%\\\%m_{Mg}=57,14\%\end{matrix}\right.\)
b) Bảo toàn nguyên tố: \(\left\{{}\begin{matrix}n_{AlCl_3}=n_{Al}=0,02\left(mol\right)\\n_{MgCl_2}=n_{Mg}=0,03\left(mol\right)\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}m_{AlCl_3}=0,02\cdot133,5=2,67\left(g\right)\\m_{MgCl_2}=0,03\cdot95=2,85\left(g\right)\end{matrix}\right.\)
Mặt khác: \(\left\{{}\begin{matrix}m_{ddHCl}=40\cdot1,25=50\left(g\right)\\m_{H_2}=0,06\cdot2=0,12\left(g\right)\end{matrix}\right.\)
\(\Rightarrow m_{dd}=m_{KL}+m_{ddHCl}-m_{H_2}=51,14\left(g\right)\)
\(\Rightarrow\left\{{}\begin{matrix}C\%_{AlCl_3}=\dfrac{2,67}{51,14}\cdot100\%\approx5,22\%\\C\%_{MgCl_2}=\dfrac{2,85}{51,14}\cdot100\%\approx5,57\%\end{matrix}\right.\)
\(n_{H_2}=\dfrac{6,72}{22,4}=0,3mol\)
\(\left\{{}\begin{matrix}n_{Mg}=x\left(mol\right)\\n_{Zn}=y\left(mol\right)\end{matrix}\right.\Rightarrow24x+65y=11,3\left(1\right)\)
\(Mg+2HCl\rightarrow MgCl_2+H_2\)
\(Zn+2HCl\rightarrow ZnCl_2+H_2\)
\(\Rightarrow x+y=0,3\left(2\right)\)
Từ (1) và (2) \(\Rightarrow\left\{{}\begin{matrix}x=0,2mol\\y=0,1mol\end{matrix}\right.\)
a)\(\%m_{Mg}=\dfrac{0,2\cdot24}{11,3}\cdot100\%=42,48\%\)
\(\%m_{Zn}=100\%-42,48\%=57,52\%\)
b)\(n_{HCl}=2\left(n_{Mg}+n_{Zn}\right)=2\cdot\left(0,2+0,1\right)=0,6mol\)
\(C_{M_{HCl}}=\dfrac{0,6}{0,2}=3M\)
nH2 = 6,72/22,4 = 0,3 (mol)
PTHH: 2Al + 6HCl -> 2AlCl3 + 3H2
nAl = 0,3 : 3 . 2 = 0,2 (mol)
nHCl (Al) = 0,3 . 2 = 0,6 (mol)
mAl = 0,2 . 27 = 5,4 (g)
%mAl = 5,4/25,65 = 20,05%
%mZnO = 100% - 20,05% = 79,95%
mZnO = 25,65 - 5,4 = 20,25 (g)
nZnO = 20,25/81 = 0,25 (mol)
PTHH: ZnO + 2HCl -> ZnCl2 + H2O
nHCl (ZnO) = 0,25 . 2 = 0,5 (mol)
nHCl (đã dùng) = 0,6 + 0,5 = 1,1 (mol)
CMddHCl = 1,1/0,1008 = 10,9M
C% = (10,9 . 36,5)/(10 . 1,19) = 33,43%
\(n_{H^+} = n_{HCl} = 0,12.2 = 0,24(mol)\\ 2H^+ + O^{2-} \to H_2O\\ n_{O(oxit)} = \dfrac{1}{2}n_{H^+} = 0,12(mol)\\ \Rightarrow n_{O_2} = \dfrac{n_{O(oxit)}}{2} = 0,06(mol)\\ n_{Mg} = \dfrac{1,68}{24} = 0,07(mol) ; n_{Al} = \dfrac{2,16}{27} = 0,08(mol)\)
Bảo toàn electron :
\(2n_{Mg} + 3n_{Al} = 4n_{O_2} + 2n_{Cl_2}\\ \Rightarrow n_{Cl_2} = \dfrac{0,07.2 + 0,08.3-0,06.4}{2} = 0,07(mol)\\ \Rightarrow \%V_{Cl_2} = \dfrac{0,07}{0,07+0,06}.100\% = 53,85\%\)
nAgNO3=0,05(mol)
nHCl=0,02(mol)
nBr,I=0,05-0,02=0,03(mol)
Ta có:
\(\left\{{}\begin{matrix}n_{KBr}+n_{NaI}=0,03\\119n_{KBr}+150n_{NaI}=3,88\end{matrix}\right.\)
nKBr=0,02;nNaI=0,01
%mKBr(A)=\(\frac{119.0,02}{3,88}.100\%=61,34\%\)
=>%mNaI(A)=100-61,34=38,66%