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\(n_{CO_2}=1,5\left(mol\right)\\ n_{Ca\left(OH\right)_2}=1\left(mol\right)\\ T=\dfrac{2n_{Ca\left(OH\right)_2}}{n_{CO_2}}=\dfrac{2}{1,5}=1,3\)   \(\rightarrow\) Tạo ra 2 muối \(CaCO_3\left(a\right),Ca\left(HCO_3\right)_2\left(b\right)\)

\(PTHH:CO_2+Ca\left(OH\right)_2\rightarrow CaCO_3+H_2O\) 

\(\left(mol\right)\)      \(a\)           \(a\)                  \(a\)

\(PTHH:2CO_2+Ca\left(OH\right)_2\rightarrow Ca\left(HCO_3\right)_2\)

\(\left(mol\right)\)        \(2b\)           \(b\)                     \(b\)

\(\Rightarrow\left\{{}\begin{matrix}a+2b=1,5\\a+b=1\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0,5\\b=0,5\end{matrix}\right.\)

\(a.C_{M_{Ca\left(HCO_3\right)_2}}=\dfrac{0,5}{0,5}=1\left(M\right)\)

\(b.PTHH:Ca\left(OH\right)_2+2HCl\rightarrow CaCl_2+2H_2O\)

\(\left(mol\right)\)             \(1\)                \(2\)

\(m_{ddHCl}=\dfrac{36,5.2.100}{25}=292\left(g\right)\)

_Xem là phải hiểu chứ không phải chép!

\(a.\left\{{}\begin{matrix}CO_2\\Ca\left(OH\right)_2\end{matrix}\right.\rightarrow CaCO_3\rightarrow Ca\left(HCO_3\right)_2\)

\(b.\) \(n_{CaCO_3}=0,05\left(mol\right)\)

\(PTHH:CO_2+Ca\left(OH\right)_2\rightarrow CaCO_3+H_2O\)

\(\left(mol\right)\)      \(0,05\)     \(0,05\)             \(0,05\)     

\(PTHH:CaCO_3+CO_2+H_2O\rightarrow Ca\left(HCO_3\right)_2\)

​\(\left(mol\right)\)        \(0,05\)        \(0,05\)                      \(0,05\)​

\(\rightarrow V_{CO_2}=22,4.\left(0,05+0,05\right)=2,24\left(l\right)\)

\(c.V_{Ca\left(OH\right)_2}=\dfrac{0,05}{0,1}=0,5\left(l\right)\\ m_{Ca\left(HCO_3\right)_2}=0,05.162=8,1\left(g\right)\\ C_{M_{Ca\left(HCO_3\right)_2}}=\dfrac{0,05}{0,5}=0,1\left(M\right)\)

\(d.V_{CO_2}=0,05.22,4=1,12\left(l\right)\\ m_{\downarrow}=5\left(g\right)\)

Nó đều là các hằng đẳng thức rồi đấy bạn! Không được nữa thì nhân phân phối vào :>

\(A=\dfrac{2}{x-1}\sqrt{\dfrac{\left(x-1\right)^2}{4x^2}}=\dfrac{2}{x-1}\left|\dfrac{x-1}{2x}\right|=\dfrac{\left|x-1\right|}{\left(x-1\right)\left|x\right|}\)

\(B=\left(x^2-4\right)\sqrt{\dfrac{9}{x^2-4x+4}}=\dfrac{3\left(x^2-4\right)}{\left|x-2\right|}\)

Đặt \(\left\{{}\begin{matrix}n_{Al_2O_3}=a\left(mol\right)\\n_{MgO}=b\left(mol\right)\\n_{Fe_2O_3}=c\left(mol\right)\end{matrix}\right.\) \(\Rightarrow102a+40b+160c=2,22\)

\(Al_2O_3,MgO\) không bị khử bởi \(CO\)

\(PTHH:Fe_2O_3+3CO\underrightarrow{t^o}2Fe+3CO_2\)

\(\left(mol\right)\)          \(c\)                     \(2c\)

\(\Rightarrow102a+40b+56.2c=1,98\)

\(PTHH:Al_2O_3+6HCl\rightarrow2AlCl_3+3H_2O\)

\(\left(mol\right)\)          \(a\)          \(6a\)

\(PTHH:MgO+2HCl\rightarrow MgCl_2+H_2O\)

\(\left(mol\right)\)        \(b\)            \(2b\)

\(PTHH:Fe+2HCl\rightarrow FeCl_2+H_2\)

\(\left(mol\right)\)        \(2c\)        \(4c\)

\(\Rightarrow6a+2b+4c=0,1\)

Từ đó: \(\left\{{}\begin{matrix}a=0,01\left(mol\right)\\b=0,01\left(mol\right)\\c=0,005\left(mol\right)\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}\%m_{Al_2O_3}=45,95\left(\%\right)\\\%m_{MgO}=18,02\left(\%\right)\\\%m_{Fe_2O_3}=36,03\left(\%\right)\end{matrix}\right.\)

ĐKXĐ: \(\left\{{}\begin{matrix}x+1\ge0\\x-2>0\\x+2>0\\x\ge0\end{matrix}\right.\)  và \(4-x\ne0\)

\(\Leftrightarrow\left\{{}\begin{matrix}x\ge-1\\x>2\\x>-2\\x\ge0\end{matrix}\right.\) và \(x\ne4\)

\(\Leftrightarrow\left\{{}\begin{matrix}x>2\\x\ne4\end{matrix}\right.\)