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a)
$n_{Al} = \dfrac{5,4}{27} = 0,2(mol)$
$2Al + 3H_2SO_4 \to Al_2(SO_4)_3 + 3H_2$
Theo PTHH:
$n_{H_2SO_4} = n_{H_2} = \dfrac{3}{2}n_{Al} = 0,3(mol)$
$V_{dd\ H_2SO_4} = \dfrac{0,3}{2} = 0,15(lít)$
$n_{Al_2(SO_4)_3} = \dfrac{1}{2}n_{Al} = 0,1(mol)$
$C_{M_{Al_2(SO_4)_3}} = \dfrac{0,1}{0,15} = 0,67M$
b)
$V_{H_2} = 0,3.22,4 = 6,72(lít)$
\(n_{Zn}=\dfrac{6.5}{65}=0.1\left(mol\right)\)
\(Zn+H_2SO_4\rightarrow ZnSO_4+H_2\)
\(0.1......................0.1..........0.1\)
\(V_{H_2}=0.1\cdot22.4=2.24\left(l\right)\)
\(m_{dd_{H_2SO_4}}=150\cdot1.08=162\left(g\right)\)
\(m_{dd}=6.5+162-0.1\cdot2=168.3\left(g\right)\)
\(C\%_{ZnSO_4}=\dfrac{0.1\cdot161}{168.3}\cdot100\%=9.56\%\)
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\(Zn+H_2SO_4\rightarrow ZnSO_4+H_2\uparrow\\ n_{H_2}=\dfrac{1,12}{22,4}=0,05\left(mol\right)\\ n_{Zn}=n_{H_2SO_4}=n_{H_2}=0,05\left(mol\right)\\ m_{Zn}=0,05.65=3,25\left(g\right)\\ m_{\text{dd}H_2SO_4}=\dfrac{0,05.98}{19,6\%}=25\left(g\right)\\ V_{\text{dd}H_2SO_4}=\dfrac{25}{1,84}\approx13,587\left(ml\right)\)
\(a)Zn+H_2SO_4\rightarrow ZnSO_4+H_2\\ Fe+H_2SO_4\rightarrow FeSO_4+H_2\\ n_{H_2}=\dfrac{4,48}{22,4}=0,2\left(mol\right)\\ b)Đặt:n_{Zn}=x\left(mol\right);n_{Fe}=y\left(mol\right)\\ Tacó:\left\{{}\begin{matrix}65x+56y=12,1\\x+y=0,2\end{matrix}\right.\\ \Rightarrow\left\{{}\begin{matrix}x=0,1\\y=0,1\end{matrix}\right.\\ \Rightarrow m_{Fe}=0,1.56=5,6\left(g\right);m_{Zn}=0,1.65=6,5\left(g\right)\\ c)n_{H_2SO_4}=n_{H_2}=0,2\left(mol\right)\\ \Rightarrow C\%_{H_2SO_{\text{ 4}}}=\dfrac{0,2.98}{196}.100=10\%\)
\(n_{CuO}=\dfrac{3,2}{80}=0,04\left(mol\right)\)
\(n_{H_2SO_4}=\dfrac{100.20\%}{98}=0,204\left(mol\right)\)
PTHH:
\(CuO+H_2SO_4\rightarrow CuSO_4+H_2O\)
0,04 0,04 0,04
\(\dfrac{0,04}{1}< \dfrac{0,204}{1}\) --> H2SO4 dư
\(C\%_{CuSO_4}=\dfrac{0,04.160}{3,2+100}.100\%=6,2\%\)
\(C\%_{H_2SO_4\left(dư\right)}=\dfrac{0,2.98}{3,2+100}.100\%=19\%\)
PTHH: \(Fe_2O_3+3H_2SO_4\rightarrow Fe_2\left(SO_4\right)_3+3H_2O\)
Ta có: \(\left\{{}\begin{matrix}n_{Fe_2O_3}=\dfrac{16}{160}=0,1\left(mol\right)\\n_{H_2SO_4}=\dfrac{200\cdot9,8\%}{98}=0,2\left(mol\right)\end{matrix}\right.\)
Xét tỉ lệ: \(\dfrac{0,1}{1}>\dfrac{0,2}{3}\) \(\Rightarrow\) Fe2O3 còn dư, tính theo axit
\(\Rightarrow\left\{{}\begin{matrix}n_{Fe_2\left(SO_4\right)_3}=0,1\left(mol\right)\\n_{Fe_2O_3\left(dư\right)}=\dfrac{1}{30}\left(mol\right)\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}m_{Fe_2\left(SO_4\right)_3}=0,1\cdot400=40\left(g\right)\\m_{Fe_2O_3\left(dư\right)}=\dfrac{1}{30}\cdot160\approx5,3\left(g\right)\end{matrix}\right.\)
\(\Rightarrow C\%_{Fe_2\left(SO_4\right)_3}=\dfrac{40}{16+200-5,3}\cdot100\%\approx18,98\%\)