Trong không gian tọa độ Oxyz, cho các điểm A(4; -1; 2), B(1; 2; 2) và C(1; -1; 5). a) Chứng minh rằng ABC là tam giác đều.
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a)
\(4Al+3O_2\underrightarrow{t^o}2Al_2O_3\)
\(Al_2O_3+3H_2SO_4\rightarrow Al_2\left(SO_4\right)_3+3H_2O\)
\(Al_2\left(SO_4\right)_3+6NaOH\rightarrow2Al\left(OH\right)_3\downarrow+3Na_2SO_4\)
\(2Al\left(OH\right)_3\underrightarrow{t^o}Al_2O_3+3H_2O\)
\(Al_2O_3+6HCl\rightarrow2AlCl_3+3H_2O\)
b)
\(2Fe+3Cl_2\underrightarrow{t^o}2FeCl_3\)
\(FeCl_3+3NaOH\rightarrow Fe\left(OH\right)_3\downarrow+3NaCl\)
\(2Fe\left(OH\right)_3\underrightarrow{t^o}Fe_2O_3+3H_2O\)
\(Fe_2O_3+3H_2\underrightarrow{t^o}2Fe+3H_2O\)
c)
\(Fe+H_2SO_4\rightarrow FeSO_4+H_2\)
\(FeSO_4+2NaOH\rightarrow Fe\left(OH\right)_2\downarrow+Na_2SO_4\)
\(Fe\left(OH\right)_2+2HCl\rightarrow FeCl_2+2H_2O\)
\(FeCl_2+2AgNO_3\rightarrow Fe\left(NO_3\right)_2+2AgCl\)
d)
\(Fe+2HCl\rightarrow FeCl_2+H_2\)
\(FeCl_2+2NaOH\rightarrow Fe\left(OH\right)_2\downarrow+2NaCl\)
\(Fe\left(OH\right)_2\underrightarrow{t^o}FeO+H_2O\)
\(FeO+H_2\underrightarrow{t^o}Fe+H_2O\)
a)
\(2Al_2O_3\underrightarrow{t^o,criolit}4Al+3O_2\)
\(Al+3AgNO_3\rightarrow Al\left(NO_3\right)_3+3Ag\)
\(Al\left(NO_3\right)_3+3NaOH\rightarrow Al\left(OH\right)_3\downarrow+3NaNO_3\)
\(Al\left(OH\right)_3+NaOH\rightarrow NaAlO_2+2H_2O\)
b)
\(2Fe+3Cl_2\underrightarrow{t^o}2FeCl_3\)
\(FeCl_3+3AgNO_3\rightarrow Fe\left(NO_3\right)_3+3AgCl\downarrow\)
\(Fe\left(NO_3\right)_3+3NaOH\rightarrow Fe\left(OH\right)_3\downarrow+3NaNO_3\)
\(2Fe\left(OH\right)_3\underrightarrow{t^o}Fe_2O_3+3H_2O\)
\(Fe_2O_3+3H_2SO_4\rightarrow Fe_2\left(SO_4\right)_3+3H_2O\)
d)
\(Fe+2HCl\rightarrow FeCl_2+H_2\)
\(FeCl_2+2NaOH\rightarrow Fe\left(OH\right)_2\downarrow+2NaCl\)
\(4Fe\left(OH\right)_2+O_2+2H_2O\rightarrow4Fe\left(OH\right)_3\)
\(2Fe\left(OH\right)_3+3H_2SO_4\rightarrow Fe_2\left(SO_4\right)_3+6H_2O\)
a) Fe + CuSO4 --> FeSO4 + Cu
b) \(m_{ddCuSO_4}=100.1,12=112\left(g\right)\)
=> \(m_{CuSO_4}=\dfrac{112.10}{100}=11,2\left(g\right)\)
=> \(n_{CuSO_4}=\dfrac{11,2}{160}=0,07\left(mol\right)\)
\(n_{Fe}=\dfrac{1,96}{56}=0,035\left(mol\right)\)
PTHH: Fe + CuSO4 --> FeSO4 + Cu
____0,035->0,035----->0,035
=> \(\left\{{}\begin{matrix}C_{M\left(CuSO_4\right)}=\dfrac{0,07-0,035}{0,1}=0,35M\\C_{M\left(FeSO_4\right)}=\dfrac{0,035}{0,1}=0,35M\end{matrix}\right.\)
a) Zn + H2SO4 --> ZnSO4 + H2
b) \(n_{H_2}=\dfrac{2,24}{22,4}=0,1\left(mol\right)\)
PTHH: Zn + H2SO4 --> ZnSO4 + H2
_____0,1<-----------------------0,1
=> mZn = 0,1.65 = 6,5 (g)
=> mCu = 10,5 - 6,5 = 4 (g)
c) \(\left\{{}\begin{matrix}\%Zn=\dfrac{6,5}{10,5}.100\%=61,9\%\\\%Cu=\dfrac{4}{10,5}.100\%=38,1\%\end{matrix}\right.\)