a) \(n_{H_2}=\dfrac{4,48}{22,4}=0,2\left(mol\right)\)
PTHH: \(M+2HCl\rightarrow MCl_2+H_2\)
0,2<--------------0,2<---0,2
=> 41,5(g) X gồm \(\left\{{}\begin{matrix}M:0,2\left(mol\right)\\MO:a\left(mol\right)\\MCl_2:b\left(mol\right)\end{matrix}\right.\)
=> 0,2.MM + a.MM + 16a + b.MM + 71b = 41,5
=> \(\left(0,2+a+b\right).M_M+16a+71b=41,5\) (1)
PTHH: \(MO+2HCl\rightarrow MCl_2+H_2O\)
X1 chứa \(\left\{{}\begin{matrix}HCl_{dư}\\MCl_2:0,2+a+b\left(mol\right)\end{matrix}\right.\)
PTHH: \(MCl_2+2NaOH\rightarrow M\left(OH\right)_2\downarrow+2NaCl\)
(0,2+a+b)------------>(0,2+a+b)
\(M\left(OH\right)_2\underrightarrow{t^o}MO+H_2O\)
(0,2+a+b)-->(0,2+a+b)
=> \(\left(0,2+a+b\right)\left(M_M+16\right)=36,45\)
=> \(\left(0,2+a+b\right)M_M+16a+16b=33,25\) (2)
(1)(2) => b = 0,15 (mol)
\(n_{CuCl_2}=0,3.1=0,3\left(mol\right)\)
PTHH: \(M+CuCl_2\rightarrow MCl_2+Cu\)
0,2-->0,2------>0,2
=> dd sau pư gồm \(\left\{{}\begin{matrix}CuCl_2:0,3-0,2=0,1\left(mol\right)\\MCl_2:0,35\left(mol\right)\end{matrix}\right.\)
=> 135.0,1 + 0,35.(MM + 71) = 61,1
=> MM = 65 (g/mol)
=> M là Zn
b) (1) => a = 0,1 (mol)
\(\left\{{}\begin{matrix}\%m_{Zn}=\dfrac{0,2.65}{41,5}.100\%=31,325\%\\\%m_{ZnO}=\dfrac{0,1.81}{41,5}.100\%=19,518\%\\\%m_{ZnCl_2}=\dfrac{0,15.136}{41,5}.100\%=49,157\%\end{matrix}\right.\)