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a, PT: \(2Al+6HCl\rightarrow2AlCl_3+3H_2\)
\(Mg+2HCl\rightarrow MgCl_2+H_2\)
b, Gọi: \(\left\{{}\begin{matrix}n_{Al}=x\left(mol\right)\\n_{Mg}=y\left(mol\right)\end{matrix}\right.\) ⇒ 27x + 24y = 7,8 (1)
Ta có: m dd tăng = mKL - mH2 ⇒ mH2 = 7,8 - 7 = 0,8 (g)
\(\Rightarrow n_{H_2}=\dfrac{0,8}{2}=0,4\left(mol\right)\)
Theo PT: \(n_{H_2}=\dfrac{3}{2}n_{Al}+n_{Mg}=\dfrac{3}{2}x+y=0,4\left(mol\right)\left(2\right)\)
\(\Rightarrow\left\{{}\begin{matrix}x=0,2\left(mol\right)\\y=0,1\left(mol\right)\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}\%m_{Al}=\dfrac{0,2.27}{7,8}.100\%\approx69,23\%\\\%m_{Mg}\approx30,77\%\end{matrix}\right.\)
\(a)n_{Mg} = a ; n_{Al} = b \Rightarrow 24a +27b = 5,1(1)\\ Mg + 2HCl \to MgCl_2 + H_2\\ 2Al + 6HCl \to 2AlCl_3 + 3H_2\\ n_{H_2} = a + 1,5b = \dfrac{5,6}{22,4} = 0,25(2)\\ (1)(2) \Rightarrow a = 0,1 ; b = 0,1\\ \%m_{Mg} = \dfrac{0,1.24}{5,1}.100\% = 44,44\%\ ;\ \%m_{Al} = 100\% -44,44\% = 55,56\%\\ b) n_{MgCl_2} = n_{Mg} = 0,1 \Rightarrow m_{MgCl_2} = 0,1.95 = 9,5(gam)\\ n_{AlCl_3} = n_{Al} = 0,1 \Rightarrow m_{AlCl_3} = 0,1.133,5 = 13,35(gam)\\ c)n_{HCl} = 2n_{Mg} + 3n_{Al} = 0,5(mol) \Rightarrow m_{dd\ HCl} = \dfrac{0,5.36,5}{3,65\%} = 500(gam)\)
\(m_{dd\ sau\ pư} = 5,1 + 500 - 0,25.2 = 504,6(gam)\\ C\%_{MgCl_2} = \dfrac{9,5}{504,6}.100\% = 1,89\%\\ C\%_{AlCl_3} = \dfrac{13,35}{504,6}.100\% = 2,65\%\)
Gọi x,y lần lượt là số mol của Al, Fe
nH2 = \(\dfrac{8,96}{22,4}\)=0,4 mol
Pt: 2Al + 3H2SO4 --> Al2(SO4)3 + 3H2
......x.................................0,5x...........1,5x
.....Fe + H2SO4 --> FeSO4 + H2
.......y..........................y............y
Ta có hệ pt:
{27x+56y=11
1,5x+y=0,4
⇔x=0,2, y=0,1
% mAl = \(\dfrac{0,2.27}{11}\).100%=49,1%
% mFe = \(\dfrac{0,1.56}{11}\).100%=50,9%
mAl2(SO4)3 = 0,5x . 342 = 0,5 . 0,2 . 342 = 34,2 (g)
mFeSO4 = 152y = 152 . 0,1 = 15,2 (g)
Gọi CTTQ: MxOy
Pt: MxOy + yH2 --to--> xM + yH2O
\(\dfrac{0,4}{y}\)<-------0,4
Ta có: 232,2=\(\dfrac{0,4}{y}\)(56x+16y)
⇔23,2=\(\dfrac{22,4x}{y}\)+6,4
⇔\(\dfrac{22,4x}{y}\)=16,8
⇔22,4x=16,8y
⇔x:y=3:4
Vậy CTHH của oxit: Fe3O4
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: \(\left\{{}\begin{matrix}m_{ddHCl}=40\cdot1,25=50\left(g\right)\\m_{H_2}=0,06\cdot2=0,12\left(g\right)\end{matrix}\right.\)
\(\Rightarrow m_{dd}=m_{KL}+m_{ddHCl}-m_{H_2}=51,14\left(g\right)\)
\(\Rightarrow\left\{{}\begin{matrix}C\%_{AlCl_3}=\dfrac{2,67}{51,14}\cdot100\%\approx5,22\%\\C\%_{MgCl_2}=\dfrac{2,85}{51,14}\cdot100\%\approx5,57\%\end{matrix}\right.\)
\(n_{H_2} = \dfrac{15,6-14}{2} = 0,8(mol)\\ 2Al + 6HCl \to 2AlCl_3 + 3H_2\\ Mg + 2HCl \to MgCl_2 + H_2\)
Gọi \(n_{Al} = a \ mol;n_{Mg} = b\ mol\)
Ta có :
\(\left\{{}\begin{matrix}27a+24b=15,6\\1,5a+b=0,8\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}a=0,4\\b=0,2\end{matrix}\right.\)
Vậy :
\(\%m_{Al} = \dfrac{0,4.27}{15,6}.100\% = 69,23\%\\ \%m_{Mg} = 100\% - 69,23\% = 30,77\%\)
2Al + 6HCl → 2 A l C l 3 + 3 H 2
a……….3/2.a (mol)
Mg + 2HCl → M g C l 2 + H 2
b....................b (mol)
4 gam rắn không tan là Cu, gọi số mol của Al và Mg lần lượt là a và b (mol). Ta có:
⇒ % m C u = 4 13 .100 = 30,77 % ⇒ % m A l = 0,2.27 13 .100 = 41,54 % ⇒ % m M g = 100 % − 30,77 % − 41,54 % = 27,69 %
⇒ Chọn C.
\(n_{H_2} = \dfrac{4,35-3,95}{2} = 0,2(mol)\\ Mg + 2HCl \to MgCl_2 + H_2\\ 2Al + 6HCl \to 2AlCl_3 + 3H_2\)
\(\left\{{}\begin{matrix}Mg:x\left(mol\right)\\Al:y\left(mol\right)\end{matrix}\right.\)→ \(\left\{{}\begin{matrix}24x+27y=4,35\\x+1,5y=0,2\end{matrix}\right.\)→\(\left\{{}\begin{matrix}x=0,125\\y=0,05\end{matrix}\right.\)
Vậy :
\(\%m_{Mg} = \dfrac{0,125.24}{4,35}.100\% = 68,97\%\\ \%m_{Al} = 100\% - 68,97\% = 31,03\%\)