\(n_A=x\left(mol\right)\\ n_{A_2O}=y\left(mol\right)\)
\(m_{hh}=xA+y\left(2A+16\right)=32.4\left(g\right)\)
\(\Rightarrow Ax+2Ay+16y=32.4\)
\(\Rightarrow A\left(x+2y\right)+16y=32.4\left(1\right)\)
\(n_{H_2SO_4}=\dfrac{58.8}{98}=0.6\left(mol\right)\)
\(A+H_2O\rightarrow AOH+\dfrac{1}{2}H_2\)
\(A_2O+H_2O\rightarrow2AOH\)
\(n_{AOH}=x+2y\left(mol\right)\)
\(2AOH+H_2SO_4\rightarrow A_2SO_4+H_2O\)
\(1.2..............0.6\)
\(\Rightarrow x+2y=1.2\left(2\right)\left(0\le y\le0.6\right)\)
\(\text{Thay}\left(2\right)\text{vào }\left(1\right):\)
\(1.2A+16y=32.4\)
\(\Rightarrow16y=32.4-1.2A\)
\(\Rightarrow y=\dfrac{32.4-1.2A}{16}\)
\(0\le y\le0.6\)
\(\Leftrightarrow0\le\dfrac{32.4-1.2A}{16}\le0.6\)
\(\Leftrightarrow19\le A\le27\)
\(A=23\)
\(A:Na.Oxit:Na_2O\)
