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a) $n_{Fe_2O_3} = \dfrac{24}{160} = 0,15(mol)$
$n_{H_2SO_4} =0,2.2,5 = 0,5(mol)$
b)
$Fe_2O_3 + 3H_2SO_4 \to Fe_2(SO_4)_3 + 3H_2O$
Vì :
$n_{Fe_2O_3} : 1 < n_{H_2SO_4} : 3$ nên $H_2SO_4$ dư
$n_{H_2SO_4\ pư} = 3n_{Fe_2O_3} = 0,45(mol)$
$n_{H_2SO_4\ dư} = 0,5 - 0,45 = 0,05(mol)$
c)
$n_{Fe_2(SO_4)_3} = n_{Fe_2O_3} = 0,15(mol)$
$C_{M_{Fe_2(SO_4)_3}} = \dfrac{0,15}{0,2} = 0,75M$
$C_{M_{H_2SO_4}} = \dfrac{0,05}{0,2} = 0,25M$
PTHH: \(Fe_2\left(SO_4\right)_3+6NaOH\rightarrow3Na_2SO_4+2Fe\left(OH\right)_3\downarrow\)
\(Al_2\left(SO_4\right)_3+6NaOH\rightarrow3Na_2SO_4+2Al\left(OH\right)_3\downarrow\)
Ta có: \(n_{NaOH\left(p/ứ\right)}=6n_{Fe_2\left(SO_4\right)_3}+6n_{Al_2\left(SO_4\right)_3}=6\cdot\left(\dfrac{8}{400}+\dfrac{13,68}{342}\right)=0,36\left(mol\right)\)
Mà \(\Sigma n_{NaOH}=\dfrac{16,8}{40}=0,42\left(mol\right)\) \(\Rightarrow n_{NaOH\left(dư\right)}=0,06\left(mol\right)\)
PTHH: \(NaOH+Al\left(OH\right)_3\rightarrow NaAlO_2+2H_2O\)
Ta có: \(\left\{{}\begin{matrix}n_{Al\left(OH\right)_3}=2n_{Al_2\left(SO_4\right)_3}=0,08\left(mol\right)\\n_{NaOH\left(dư\right)}=0,06\left(mol\right)\end{matrix}\right.\) \(\Rightarrow\) NaOH p/ứ hết
\(\Rightarrow\left\{{}\begin{matrix}n_{Na_2SO_4}=0,04\cdot3+0,02\cdot3=0,18\left(mol\right)\\n_{NaAlO_2}=0,06\left(mol\right)\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}C_{M_{Na_2SO_4}}=\dfrac{0,18}{0,5}=0,36\left(M\right)\\C_{M_{NaAlO_2}}=\dfrac{0,06}{0,5}=0,12\left(M\right)\end{matrix}\right.\)
1) \(n_{Al\left(OH\right)_3}=\dfrac{0,78}{78}=0,01\left(mol\right)\)
PTHH: \(Al_2\left(SO_4\right)_3+6NaOH\rightarrow3Na_2SO_4+2Al\left(OH\right)_3\)
0,03<----------------------0,01
=> nNaOH min = 0,03 (mol)
=> \(C_{M\left(NaOH\right)}=\dfrac{0,03}{0,2}=0,15M\)
2) \(n_{Al_2O_3}=\dfrac{5,1}{102}=0,05\left(mol\right)\)
\(n_{Al_2\left(SO_4\right)_3}=0,3.0,25=0,075\left(mol\right)\)
PTHH: \(6NaOH+Al_2\left(SO_4\right)_3\rightarrow3Na_2SO_4+2Al\left(OH\right)_3\)
0,45<------0,075-------------------------->0,15
\(NaOH+Al\left(OH\right)_3\rightarrow NaAlO_2+2H_2O\)
0,05<----0,05
\(2Al\left(OH\right)_3\underrightarrow{t^o}Al_2O_3+3H_2O\)
0,1<-------0,05
=> nNaOH max = 0,5 (mol)
=> \(V_{dd}=\dfrac{0,5}{2}=0,25\left(l\right)=250\left(ml\right)\)
3)
\(n_{KOH\left(1\right)}=0,15.1,2=0,18\left(mol\right)\)
\(n_{Al\left(OH\right)_3\left(1\right)}=\dfrac{4,68}{78}=0,06\left(mol\right)\)
\(n_{AlCl_3}=0,1.x\left(mol\right)\)
Do khi cho KOH tác dụng với dd Y xuất hiện kết tủa
=> Trong Y chứa AlCl3 dư
PTHH: \(3KOH+AlCl_3\rightarrow3KCl+Al\left(OH\right)_3\)
0,18---->0,06----------------->0,06
\(n_{KOH\left(2\right)}=0,175.1,2=0,21\left(mol\right)\)
\(n_{Al\left(OH\right)_3\left(2\right)}=\dfrac{2,34}{78}=0,03\left(mol\right)\)
PTHH: \(3KOH+AlCl_3\rightarrow3KCl+Al\left(OH\right)_3\)
(0,3x-0,18)<--(0,1x-0,06)------->(0,1x-0,06)
\(KOH+Al\left(OH\right)_3\rightarrow KAlO_2+2H_2O\)
(0,1x-0,09)<-(0,1x-0,09)
=> \(\left(0,3x-0,18\right)+\left(0,1x-0,09\right)=0,21\)
=> x = 1,2
Ta có: \(n_{Fe}=\dfrac{5,6}{56}=0,1\left(mol\right)\)
PT: \(Fe+2HCl\rightarrow FeCl_2+H_2\)
____0,1______0,2_____0,1____0,1 (mol)
a, \(C_{M_{HCl}}=\dfrac{0,2}{0,15}=\dfrac{4}{3}\left(M\right)\)
\(V_{H_2}=0,1.22,4=2,24\left(l\right)\)
b, \(FeCl_2+2NaOH\rightarrow2NaCl+Fe\left(OH\right)_2\)
Theo PT: \(n_{NaOH}=2n_{FeCl_2}=0,2\left(mol\right)\)
\(\Rightarrow V_{NaOH}=\dfrac{0,2}{2}=0,1\left(l\right)\)
Ta có: \(n_{MgO}=\dfrac{7}{40}=0,175\left(mol\right)\)
\(n_{H_2SO_4}=0,6.1=0,6\left(mol\right)\)
PT: \(MgO+H_2SO_4\rightarrow MgSO_4+H_2O\)
Xét tỉ lệ: \(\dfrac{0,175}{1}< \dfrac{0,6}{1}\), ta được H2SO4 dư.
Theo PT: \(n_{MgSO_4}=n_{H_2SO_4\left(pư\right)}=n_{MgO}=0,175\left(mol\right)\)
\(\Rightarrow n_{H_2SO_4\left(dư\right)}=0,6-0,175=0,425\left(mol\right)\)
\(\Rightarrow\left\{{}\begin{matrix}C_{M_{MgSO_4}}=\dfrac{0,175}{0,6}=\dfrac{7}{24}\left(M\right)\\C_{M_{H_2SO_4}}=\dfrac{0,425}{0,6}=\dfrac{17}{24}\left(M\right)\end{matrix}\right.\)
nCuO=16/80=0,2mol
CuO+H2SO4 --->CuSO4+H2O
0,2mol-->0,2mol -->0,2mol
CMH2SO4=0,2/0,5=0,4M
mCuSO4=0,2.160=32g
CMCuSO4=0,2/0,5=0,4M
nCuO = \(\dfrac{16}{80}\)= 0,2 mol
V = 500 ml = 0,5 (l)
CuO + H2SO4 -> CuSO4 (x) + H2O
0,2--->0,2 mol--->0,2mol
a) CM(H2SO4) = \(\dfrac{0,2}{0,5}\)=0,4 M
b) mCuSO4 = 0,2 . 160 = 32 g