Giả sử kim loại có hóa trị M
\(n_M=\dfrac{13,428}{M_M}\left(mol\right)\)
PTHH: 8M + 5nH2SO4 --> 4M2(SO4)n + nH2S + 4nH2O
\(\dfrac{13,428}{M_M}\)------------->\(\dfrac{6,714}{M_M}\)---->\(\dfrac{1,6785n}{M_M}\)
\(m_{Muối}=\dfrac{6,714}{M_M}\left(2.M_M+96n\right)=66,24\)
=> \(M_M=\dfrac{5968}{489}n\left(g/mol\right)\)
\(n_{H_2S}=\dfrac{1,6785n}{M_M}=\dfrac{1,6785n}{\dfrac{5968}{489}n}=0,13753125\left(mol\right)\)
=> V = 0,13753125.22,4 = 3,0807 (l)
Đặt KL M có hoá trị n
PTHH: \(8M+5nH_2SO_4\rightarrow4M_2\left(SO_4\right)_n+nH_2S\uparrow+4nH_2O\)
\(m_{muối}=m_M+m_{=SO_4}\\ \rightarrow m_{=SO_4}=66,24-13,428=52,812\left(mol\right)\\ \rightarrow n_{=SO_4}=\dfrac{52,812}{96}=0,550125\left(mol\right)\\ \rightarrow n_{H_2SO_4}=n_{=SO_4}=0,550125\left(mol\right)\)
Theo PTHH: \(n_{H_2S}=\dfrac{1}{5}n_{H_2SO_4}=\dfrac{1}{5}.0,550,125=0,110025\left(mol\right)\)
\(\rightarrow V=V_{H_2S}=0,110025.22,4=2,46456\left(l\right)\)