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\(Đặt:\)
\(\left\{{}\begin{matrix}n_{Mg}=x\left(mol\right)\\\\n_{Fe}=y\left(mol\right)\end{matrix}\right.\)
\(n_{H_2}=\dfrac{6.72}{22.4}=0.3\left(mol\right)\)
\(Mg+2HCl\rightarrow MgCl_2+H_2\\ Fe+2HCl\rightarrow FeCl_2+H_2\)
\(m_{hh}=24x+56y=13.6\left(g\right)\\ n_{H_2}=x+y=0.3\left(mol\right)\)
\(\Rightarrow\left\{{}\begin{matrix}x=0.1\\y=0.2\end{matrix}\right.\)
\(\%Mg=\dfrac{0.1\cdot24}{13.6}\cdot100\%=17.64\%\\ \%Fe=100-17.64=82.36\%\)
\(n_{HCl}=2n_{H_2}=2\cdot0.3=0.6\left(mol\right)\)
\(V_{HCl}=\dfrac{0.6}{2}=0.3\left(l\right)\)
\(m_Y=m_{MgCl_2}+m_{FeCl_2}=0.1\cdot95+0.2\cdot127=34.9\left(g\right)\)
Đổi 250cm3 = 250ml = 0,25l
Ta có : \(n_{HCl}=0,25.2=0,5\left(mol\right)\)
\(Ca+2HCl\rightarrow CaCl_2+H_2\uparrow\)
a_____2a_____a_______a
\(Mg+2HCl\rightarrow MgCl_2+H_2\uparrow\)
b_____2b______b________b
\(n_{HCl_{pu}}=0,4\left(mol\right)\)
Gọi a là số mol của Ca , b là số mol của Mg
Giải hệ phương trình :
\(\left\{{}\begin{matrix}40a+24b=0,4\\2a+2b=0,4\end{matrix}\right.\rightarrow a=b=0,1\)
a, \(\%m_{Ca}=\frac{0,1.40}{64}.100\%=62,5\%\)
\(\%m_{Mg}=100\%-62,5\%=37,5\%\)
b, \(V_{dd_{saupu}}=0,25\left(l\right)\rightarrow CM_{CaCl2}=CM_{MgCl2}\)
\(=\frac{0,1}{0,25}=0,4\left(M\right)\)
c, \(V_{H2}=\left(0,1+0,1\right).22,4=4,48\left(l\right)\)
\(a)n_{Mg} = a ; n_{Al} = b \Rightarrow 24a +27b = 5,1(1)\\ Mg + 2HCl \to MgCl_2 + H_2\\ 2Al + 6HCl \to 2AlCl_3 + 3H_2\\ n_{H_2} = a + 1,5b = \dfrac{5,6}{22,4} = 0,25(2)\\ (1)(2) \Rightarrow a = 0,1 ; b = 0,1\\ \%m_{Mg} = \dfrac{0,1.24}{5,1}.100\% = 44,44\%\ ;\ \%m_{Al} = 100\% -44,44\% = 55,56\%\\ b) n_{MgCl_2} = n_{Mg} = 0,1 \Rightarrow m_{MgCl_2} = 0,1.95 = 9,5(gam)\\ n_{AlCl_3} = n_{Al} = 0,1 \Rightarrow m_{AlCl_3} = 0,1.133,5 = 13,35(gam)\\ c)n_{HCl} = 2n_{Mg} + 3n_{Al} = 0,5(mol) \Rightarrow m_{dd\ HCl} = \dfrac{0,5.36,5}{3,65\%} = 500(gam)\)
\(m_{dd\ sau\ pư} = 5,1 + 500 - 0,25.2 = 504,6(gam)\\ C\%_{MgCl_2} = \dfrac{9,5}{504,6}.100\% = 1,89\%\\ C\%_{AlCl_3} = \dfrac{13,35}{504,6}.100\% = 2,65\%\)
\(n_{H_2} = \dfrac{4,35-3,95}{2} = 0,2(mol)\\ Mg + 2HCl \to MgCl_2 + H_2\\ 2Al + 6HCl \to 2AlCl_3 + 3H_2\)
\(\left\{{}\begin{matrix}Mg:x\left(mol\right)\\Al:y\left(mol\right)\end{matrix}\right.\)→ \(\left\{{}\begin{matrix}24x+27y=4,35\\x+1,5y=0,2\end{matrix}\right.\)→\(\left\{{}\begin{matrix}x=0,125\\y=0,05\end{matrix}\right.\)
Vậy :
\(\%m_{Mg} = \dfrac{0,125.24}{4,35}.100\% = 68,97\%\\ \%m_{Al} = 100\% - 68,97\% = 31,03\%\)
m(Zn,Mg)=25-6,5= 18,5(g)
nHCl(p.ứ)= 0,8.2 : 125%= 1,28(mol)
PTHH: Zn + 2 HCl -> ZnCl2 + H2
x__________2x_____x____x(mol)
Mg + 2 HCl -> MgCl2 + H2
y______2y____y_____y(mol)
Ta có hpt:
\(\left\{{}\begin{matrix}65x+24y=18,5\\2x+2y=1,28\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=\dfrac{157}{2050}\\y=\dfrac{231}{410}\end{matrix}\right.\)
=>
\(\%mAg=\dfrac{6,5}{25}.100=26\%\\ \%mZn=\dfrac{\dfrac{157}{2050}.65}{25}.100\approx19,912\%\\ \rightarrow\%mMg\approx54,088\%\)
Giả sử: \(\left\{{}\begin{matrix}n_{Mg}=x\left(mol\right)\\n_{Al}=y\left(mol\right)\end{matrix}\right.\)
⇒ 24x + 27y = 7,8 (1)
Ta có: \(n_{H_2}=\dfrac{8,96}{22,4}=0,4\left(mol\right)\)
BT e, có: 2x + 3y = 0,8 (2)
Từ (1) và (2) \(\Rightarrow\left\{{}\begin{matrix}x=0,1\left(mol\right)\\y=0,2\left(mol\right)\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}m_{Mg}=0,1.24=2,4\left(g\right)\\m_{Al}=0,2.27=5,4\left(g\right)\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}\%m_{Mg}=\dfrac{2,4}{7,8}.100\%\approx30,77\%\\\%m_{Al}\approx69,23\%\end{matrix}\right.\)
b, BTNT Mg và Al, có:
nMgCl2 = nMg = 0,1 (mol)
nAlCl3 = nAl = 0,2 (mol)
\(\Rightarrow\left\{{}\begin{matrix}\%m_{MgCl_2}=\dfrac{0,1.95}{0,1.95+0,2.133,5}.100\%\approx26,24\%\\\%m_{AlCl_3}\approx73,76\%\end{matrix}\right.\)
Bạn tham khảo nhé!
a) Đặt \(\left\{{}\begin{matrix}n_{Mg}=a\left(mol\right)\\n_{Al}=b\left(mol\right)\end{matrix}\right.\) \(\Rightarrow24a+27b=5,1\) (1)
Ta có: \(n_{H_2}=\dfrac{5,6}{22,4}=0,25\left(mol\right)\)
Bảo toàn electron: \(2a+3b=0,5\) (2)
Từ (1) và (2) \(\Rightarrow\left\{{}\begin{matrix}a=0,1\\b=0,1\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}\%m_{Mg}=\dfrac{0,1\cdot24}{5,1}\cdot100\%\approx47,06\%\\\%m_{Al}=52,94\%\end{matrix}\right.\)
b) Bảo toàn nguyên tố: \(n_{HCl}=2n_{H_2}=0,5\left(mol\right)\)
\(\Rightarrow m_{ddHCl}=\dfrac{0,5\cdot36,5}{7,3\%}=250\left(g\right)\)
\(\Rightarrow V_{HCl}=\dfrac{250}{1,2}\approx208,33\left(ml\right)\)
đề sai