nMg=9,6/24=0,4 mol

nH2SO4=0,02*1,5=0.03 mol

Mg + H2SO4 --> MgSO4 + H2

           0,03          0,03         0,03             mol

ta thấy nMg/1>nH2SO4/1=> Mg dư và H2SO4 hết

=>mMgSO4=0,03*120=3,6g

=>VH2=0,03*22,4=0,672 l

nFe2O3=64/160=0,4 mol

Fe2O3 + 3H2 --> 2Fe +3H2O(1)

   0,01     0,03     0,02                       mol

ta thấy nFe2O3/1>nH2/3=>H2 hết Fe2O3 dư

=> chất rắn còn lại sau phản ứng là Fe2O3 và Fe          

(1) => m Fe =0,02*56=1,12 g

(1)=>mFe2O3p/ứ=0,01*160=1,6 g

=>mFe2O3 dư =64-1,6=62,4 g

=> m chất rắn =62,4+1,12=63,52g

từ :))

Học gì mà đề như thế này

alo

từ đợi làm tí

1.

b, \(B=\dfrac{8+2\sqrt{2}}{3-\sqrt{2}}-\dfrac{2+3\sqrt{2}}{\sqrt{2}}+\dfrac{\sqrt{2}}{1-\sqrt{2}}\)

\(=\dfrac{2\left(2+\sqrt{2}\right)\left(3-\sqrt{2}\right)}{3-\sqrt{2}}-\dfrac{\sqrt{2}\left(\sqrt{2}+3\right)}{\sqrt{2}}+\dfrac{\sqrt{2}\left(1+\sqrt{2}\right)}{1-\sqrt{2}}\)

\(=4+2\sqrt{2}-\sqrt{2}-3-2-\sqrt{2}\)

\(=-1\)

Bài 1: 

b: Ta có: \(B=\dfrac{8+2\sqrt{2}}{3-\sqrt{2}}-\dfrac{2+3\sqrt{2}}{\sqrt{2}}-\dfrac{\sqrt{2}}{\sqrt{2}-1}\)

\(=2\sqrt{2}\left(\sqrt{2}+1\right)-\sqrt{2}-3-2+\sqrt{2}\)

\(=4+2\sqrt{2}-5\)

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

4.

a, ĐK: \(x\ge0;x\ne1\)

\(Q=\left(\dfrac{\sqrt{x}-2}{x-1}-\dfrac{\sqrt{x}+2}{x+2\sqrt{x}+1}\right).\dfrac{\left(1-x\right)^2}{2}\)

\(=\left[\dfrac{\sqrt{x}-2}{\left(\sqrt{x}-1\right)\left(\sqrt{x}+1\right)}-\dfrac{\sqrt{x}+2}{\left(\sqrt{x}+1\right)^2}\right].\dfrac{\left(1-x\right)^2}{2}\)

\(=\left[\dfrac{\left(\sqrt{x}-2\right)\left(\sqrt{x}+1\right)}{\left(\sqrt{x}-1\right)\left(\sqrt{x}+1\right)^2}-\dfrac{\left(\sqrt{x}+2\right)\left(\sqrt{x}-1\right)}{\left(\sqrt{x}-1\right)\left(\sqrt{x}+1\right)^2}\right].\dfrac{\left(1-x\right)^2}{2}\)

\(=\left[\dfrac{x-\sqrt{x}-2}{\left(\sqrt{x}-1\right)\left(\sqrt{x}+1\right)^2}-\dfrac{x+\sqrt{x}-2}{\left(\sqrt{x}-1\right)\left(\sqrt{x}+1\right)^2}\right].\dfrac{\left(1-x\right)^2}{2}\)

\(=\dfrac{2\sqrt{x}}{\left(1-x\right)\left(\sqrt{x}+1\right)}.\dfrac{\left(1-x\right)^2}{2}\)

\(=\dfrac{\sqrt{x}\left(1-\sqrt{x}\right)\left(\sqrt{x}+1\right)}{\sqrt{x}+1}\)

\(=\sqrt{x}-x\)

b, \(Q=\sqrt{x}-x=\sqrt{x}\left(1-\sqrt{x}\right)>0\)

\(\Leftrightarrow1-\sqrt{x}>0\)

\(\Leftrightarrow\sqrt{x}< 1\)

\(\Leftrightarrow x< 1\)

Vậy \(0\le x< 1\)

c, \(Q=\sqrt{x}-x\)

\(=-\left(x-\sqrt{x}+\dfrac{1}{4}\right)+\dfrac{1}{4}\)

\(=-\left(\sqrt{x}-\dfrac{1}{2}\right)^2+\dfrac{1}{4}\le\dfrac{1}{4}\)

\(\Rightarrow maxQ=\dfrac{1}{4}\Leftrightarrow x=\dfrac{1}{4}\)

Câu 2.2 

để 2 đt song song khi \(\left\{{}\begin{matrix}m^2-1=3\\m+1\ne3\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}m^2=4\\m\ne2\end{matrix}\right.\Leftrightarrow m=2\)

Câu 2: 

1: \(A=\left(\sqrt{x}+\sqrt{y}-\sqrt{x}+\sqrt{y}-y\right)\cdot\left(\sqrt{y}-2\right)\)

\(=\left(2\sqrt{y}-y\right)\left(\sqrt{y}-2\right)=-\sqrt{y}\left(y-4\sqrt{y}+4\right)=-y\sqrt{y}+4y-4\sqrt{y}\)