Câu 4 : 

\(n_{Fe2O3}=\dfrac{24}{160}=0,15\left(mol\right)\)

Pt : \(Fe_2O_3+3H_2SO_4\rightarrow Fe_2\left(SO_4\right)_3+3H_2O|\)

          1               3                    1                 3

       0,15                                 0,15

a) \(n_{Fe2\left(SO4\right)3}=\dfrac{0,15.1}{1}=0,15\left(mol\right)\)

⇒ \(m_{Fe2\left(SO4\right)3}=0,15.400=60\left(g\right)\)

b) \(C_{M_{Fe2\left(SO4\right)3}}=\dfrac{0,15}{0,5}=0,3\left(M\right)\)

 Chúc bạn học tốt

a,\(n_{Fe_2O_3}=\dfrac{24}{160}=0,15\left(mol\right)\)

PTHH: Fe₂O₃ + 3H₂SO₄ → Fe₂(SO₄)₃ + 3H₂O

Mol:     0,15         0,45                0,15                   

\(m_{Fe_2\left(SO_4\right)_3}=0,15.400=60\left(g\right)\)

b,\(C_{M_{ddFe_2\left(SO_4\right)_3}}=\dfrac{0,15}{0,5}=0,3\left(mol\right)\)

1C 2B 3D 4B 5A 

Phần rút gọn mệnh đề quan hệ ạ

Câu 4: ĐKXĐ: x>=1/2

Ta có: \(2\left(x-\sqrt{2x^2+5x-3}\right)=1+x\left(\sqrt{2x-1}-2\sqrt{x+3}\right)\)

=>\(2x-2\sqrt{2x^2+5x-3}=1+x\cdot\sqrt{2x-1}-2x\cdot\sqrt{x+3}\)

=>\(2x-1-2\cdot\sqrt{\left(2x-1\right)\left(x+3\right)}-x\cdot\sqrt{2x-1}+2x\cdot\sqrt{x+3}=0\)

=>\(2x-1-x\cdot\sqrt{2x-1}-2\cdot\sqrt{\left(2x-1\right)\left(x+3\right)}+2x\cdot\sqrt{x+3}=0\)

=>\(\sqrt{2x-1}\left(\sqrt{2x-1}-x\right)-2\cdot\sqrt{x+3}\left(\sqrt{2x-1}-x\right)=0\)

=>\(\left(\sqrt{2x-1}-\sqrt{4x+12}\right)\left(\sqrt{2x-1}-x\right)=0\)

TH1: \(\sqrt{2x-1}-\sqrt{4x+12}=0\)

=>\(\sqrt{2x-1}=\sqrt{4x+12}\)

=>4x+12=2x-1

=>2x=-13

=>\(x=-\frac{13}{2}\) (loại)

TH2: \(\sqrt{2x-1}-x=0\)

=>\(\sqrt{2x-1}=x\)

=>\(\begin{cases}2x-1=x^2\\ x\ge0\end{cases}\Rightarrow\begin{cases}x^2-2x+1=0\\ x\ge0\end{cases}\Rightarrow\begin{cases}\left(x-1\right)^2=0\\ x\ge0\end{cases}\)

=>x-1=0

=>x=1(nhận)

PTHH: Al2O3+6HCl➝2AlCl3+3H2O(1)

a)nAl2O3=\(\dfrac{10,2}{102}\)=0,1(mol)

   mHCl=\(\dfrac{5\%.219}{100\%}\)=10,95(g)

   ⇒nHCl=\(\dfrac{10,95}{36,5}\)=0,3(mol)

Xét tỉ lệ Al2O3:\(\dfrac{0,1}{1}\)=0,1

Xét tỉ lệ HCl:\(\dfrac{0,3}{6}\)=0,05

⇒HCl pứng hết,Al2O3 còn dư

Theo PTHH(1) ta có nAl2O3 pứng=\(\dfrac{nHCl}{6}\)=\(\dfrac{0,3}{6}\)=0,05(mol)

⇒nAl2O3 dư=nAl2O3ban đầu-nAl2O3 pứng=0,1-0,05=0,05(mol)

⇒mAl2O3 dư=0,05.102=5,1(g)

b) C%HCl=\(\dfrac{0,3.36,5}{219+10,2}\).100%=4,8%

     nAlCl3=0,1(mol)

⇒C%AlCl3=\(\dfrac{0,1.136,5}{10,2+219}\).100%=6%