\(n_{Al}=\dfrac{5,4}{27}=0,2\left(mol\right)\\ n_{H_2SO_4}=0,5.0,1=0,05\left(mol\right)\\ pthh:2Al+3H_2SO_4\rightarrow Al_2\left(SO_4\right)_3+3H_2\) 
  \(LTL:\dfrac{0,2}{2}>\dfrac{0,05}{3}\) 
=> Al dư  
\(n_{H_2}=n_{H_2SO_4}=0,05\left(mol\right)\) 
\(V_{H_2}=0,05.22,4=1,12l\\ C_M=\dfrac{\dfrac{1}{60}}{0,1}=0,16M\)

\(a,n_{H_2SO_4}=0,5\cdot0,1=0,05\left(mol\right)\\ PTHH:2Al+3H_2SO_4\rightarrow Al_2\left(SO_4\right)_3+3H_2\\ \Rightarrow n_{H_2}=n_{H_2SO_4}=0,05\left(mol\right)\\ \Rightarrow V_{H_2\left(đktc\right)}=0,05\cdot22,4=1,12\left(l\right)\\ b,n_{Al}=\dfrac{2}{3}n_{H_2SO_4}=\dfrac{1}{30}\left(mol\right)\\ \Rightarrow m_{Al}=\dfrac{1}{30}\cdot27=0,9\left(g\right)\\ c,n_{Al_2\left(SO_4\right)_3}=\dfrac{1}{3}n_{H_2SO_4}\approx0,017\left(mol\right)\\ \Rightarrow C_{M_{Al_2\left(SO_4\right)_3}}=\dfrac{0,017}{0,1}\approx0,17M\)

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)

$V_{H_2} = 0,3.22,4 = 6,72(lít)$

1////          nAl=0,4mol   

2Al     +      6HCl -----> 2AlCl3 + 3H2

0,4mol      1,2mol         0,4mol    0,6 mol

a/ V_H2=0,6.22,4=13,44 l

b/ V=1,2/2=0,6 l

C_AlCl3=0,4/0,6=2/3 M

a) \(n_{Al}=\dfrac{5,4}{27}=0,2\left(mol\right)\)

PTHH: 2Al + 6HCl --> 2AlCl₃ + 3H₂

_____0,2-->0,6----->0,2---->0,3

=> \(C_{M\left(HCl\right)}=\dfrac{0,6}{0,2}=3M\)

b) V_H2 = 0,3.24,79 = 7,437 (l)

c) \(C_{M\left(AlCl_3\right)}=\dfrac{0,2}{0,2}=1M\)

Sửa đề cho dễ làm: "Cho 5,6 gam sắt"

PTHH: \(Fe+H_2SO_4\rightarrow FeSO_4+H_2\uparrow\)

Gộp cả phần a và b

Ta có: \(n_{Fe}=\dfrac{5,6}{56}=0,1\left(mol\right)=n_{FeSO_4}=n_{H_2}\)

\(\Rightarrow\left\{{}\begin{matrix}V_{H_2}=0,1\cdot22,4=2,24\left(l\right)\\C_{M_{FeSO_4}}=\dfrac{0,1}{0,1}=1\left(M\right)\end{matrix}\right.\)

-Mình sửa đề là 5,6 g sắt nhé :)

Đổi 100ml = 1lit

PTHH:   Fe +H₂SO₄→FeSO₄+H₂

+n_Fe=\(\dfrac{5,6}{56}=0,1\left(mol\right)\)

-Theo PTHH ta có:

+n_H2=n_Fe=0,1(mol)

+V_H2=0,1.22,4=2,24(lit)

-Theo PTHH ta có:

+n_H2SO4=n_Fe=0,1(mol)

+CM_H2SO4=\(\dfrac{0,1}{0,1}=1\) (M)

\(n_{MnO_2}=\dfrac{69,6}{87}=0,8\left(mol\right)\)

n_KOH = 0,5.4 = 2(mol)

PTHH: MnO₂ + 4HCl --> MnCl₂ + Cl₂ + 2H₂O

             0,8------------------------>0,8

           2KOH + Cl₂ --> KCl + KClO + H₂O

Xét tỉ lệ \(\dfrac{2}{2}>\dfrac{0,8}{1}\) => KOH dư, Cl₂ hết

2KOH + Cl₂ --> KCl + KClO + H₂O

 1,6<--0,8---->0,8---->0,8

=> \(\left\{{}\begin{matrix}n_{KOH\left(dư\right)}=2-1,6=0,4\left(mol\right)\\n_{KCl}=0,8\left(mol\right)\\n_{KClO}=0,8\left(mol\right)\end{matrix}\right.\)

=> \(\left\{{}\begin{matrix}C_{M\left(KOH\right)}=\dfrac{0,4}{0,5}=0,8M\\C_{M\left(KCl\right)}=\dfrac{0,8}{0,5}=1,6M\\C_{M\left(KClO\right)}=\dfrac{0,8}{0,5}=1,6M\end{matrix}\right.\)