Câu 49. Hòa tan 3,2 gam M2On bằng 196,8 gam dung dịch H2SO4 loãng vừa đủ được dung dịch muối X có nồng độ 4%. Nồng độ phần trăm của dung dịch H2SO4 đã dùng là
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
Lời giải:
Đặt $2x-1=a$
\(a^6=a^8\\ \Leftrightarrow a^8-a^6=0\\ \Leftrightarrow a^6(a^2-1)=0\\ \Leftrightarrow a^6=0\text{ hoặc } a^2-1=0\\ \Leftrightarrow a=0 \text{ hoặc } a=\pm 1\\ \Leftrightarrow 2x-1=0 \text{ hoặc } 2x-1=1 \text{ hoặc } 2x-1=-1\)
$\Leftrightarrow x=\frac{1}{2}$ hoặc $x=1$ hoặc $x=0$
Lời giải:
$f(x)=x^{6n}-x^{3n}+1=x^{3n}(x^{3n}-1)+1$
$=x^{3n}[(x^3)^n-1^n]+1$
$=x^{3n}(x^3-1)[(x^3)^{n-1}+(x^3)^{n-2}+...+1]+1$
$=x^{3n}(x^2+x+1)(x-1)[(x^3)^{n-1}+(x^3)^{n-2}+...+1]+1$
$\Rightarrow f(x)$ chia $x^2+x+1$ dư $1$
$\Rightarrow f(x)$ không chia hết cho $g(x)$
\(\left(x-2\right)^3-\left(x-2\right)\left(x^2+2x+4\right)=0\\ \Leftrightarrow\left(x-2\right)\left[\left(x-2\right)^2-\left(x^2+2x+4\right)\right]=0\\ \Leftrightarrow\left(x-2\right)\left(x^2-4x+4-x^2-2x-4\right)=0\\ \Leftrightarrow\left(x-2\right).\left(-6x\right)=0\\ \Rightarrow\left[{}\begin{matrix}x-2=0\\-6x=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=2\\x=0\end{matrix}\right.\)
Cách làm khác:
\(\left(x-2\right)^3-\left(x-2\right)\left(x^2+2x+4\right)=0\\ \Leftrightarrow x^3-3.x^2.2+3.x.2^2-2^3-\left(x^3-2^3\right)=0\\ \Leftrightarrow x^3-6x^2+12x-8-x^3+8=0\\ \Leftrightarrow-6x^2+12x=0\\ \Leftrightarrow-6x\left(x-2\right)=0\\ \Rightarrow\left[{}\begin{matrix}x=0\\x=2\end{matrix}\right.\)
ĐK: \(\left\{{}\begin{matrix}x\ne2\\x\ne-1\end{matrix}\right.\)
PT trở thành:
\(\dfrac{x}{x-2}=\dfrac{1}{x+1}+\dfrac{x+1}{x+1}\\ \Leftrightarrow\dfrac{x}{x-2}=\dfrac{x+2}{x+1}\\ \Leftrightarrow x\left(x+1\right)=x^2-4\\ \Leftrightarrow x^2+x-x^2+4=0\\ \Leftrightarrow x+4=0\Leftrightarrow x=-4\left(tm\right)\)
[Không biết mình làm có đúng không ạ!]
1- London is visited by thousands of people every year.
2- The thief is arrested by police cars.
3- CO2 is absorbed by trees.
4- Photos are taken by Jane.
5- A lot of waste is produced by people.
6- The animals are fed by the farmers.
7- Films are watched by Mr. Jones.
8- English is spoken by the people.
9- Comics are read by him.
10- Volleyball is played by us.
11- The song is sung by them.
12- Photos are taken by me.
13- Poems are written by the writer.
14- The children are helped by the police.
15- The flowers are watered by mother.
16- The car is washed by my husband.
17- Halloween is loved by people around the world.
18- Blue shoes are worn by the teachers.
19- The school is cleaned by the janitor.
20- The house is cleaned by my mother everyday.




\(m_{dd.muối.X}=3,2+196,8=200\left(g\right)\)
Có: \(C\%_X=\dfrac{m_X.100\%}{200}=4\%\Leftrightarrow m_X=8\left(g\right)\) \(M_2\left(SO_4\right)_n\)
\(3,2\left(g\right)M_2O_n\rightarrow8\left(g\right)M_2\left(SO_4\right)_n\)
=> \(n_{SO_4^{2-}}=\dfrac{8-3,2}{96-16}=0,06\left(mol\right)\)
\(C\%_{H_2SO_4}=\dfrac{0,06.98.100\%}{196,8}=2,99\%\)