\(n_{AgNO_3}=n_{Cu\left(NO3\right)_2}=0,4.0,5=0,2\left(mol\right)\)
\(M+nAgNO_3-->M\left(NO_3\right)_n+nAg\)
0,2/n.....0,2..................0,2/n................0,2
\(2M+nCu\left(NO_3\right)_2--->2M\left(NO_3\right)_n+nCu\)
0,4/n.........0,2..............................0,4/n.............0,2
Chất rắn gồm 3 kim loại sau phản ứng : M dư, Cu, Ag
\(m_{Mdu}=a-\left(\dfrac{0,2}{n}+\dfrac{0,4}{n}\right)M=a-\dfrac{0,6M}{n}\left(1\right)\)
\(m_{Ag}+m_{Cu}+m_{Mdu}=a+27,2\left(2\right)\)
Thay (1) vào (2) ta có
\(0,2.108+0,2.64+a-\dfrac{0,6M}{n}=a+27,2\)
\(\Leftrightarrow21,6+12,8+a-\dfrac{0,6M}{n}=a+27,2\)
\(\Leftrightarrow34,4+a-\dfrac{0,6M}{n}=a+27,2\)
\(\Rightarrow\dfrac{0,6M}{n}=7,2\)
Nếu n=1 =>M=12(loại)
n=2=>M=24 (Mg)
n=3=>M=36(loại)
=>M: Mg
CT muối : Mg(NO3)2
\(m_{Mg\left(NO_3\right)_2}=148.\left(\dfrac{0,2}{2}+\dfrac{0,4}{2}\right)=44,4\left(g\right)\)