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a: \(3H_2+Fe_2O_3\rightarrow2Fe+3H_2O\)
b: \(n_{Fe_2O_3}=\dfrac{16}{160}=0.1\left(mol\right)\)
\(\Leftrightarrow n_{H_2O}=n_{H_2}=0.1\cdot3=0.3\left(mol\right)\)
\(v_{H_2}=0.3\cdot22.4=6.72\left(lít\right)\)
22/ \(\omega A=8\pi\)
\(A^2=x^2+\dfrac{v^2}{\omega^2}\Leftrightarrow A^2=3,2^2+\dfrac{\left(4,8\pi\right)^2}{\omega^2}\)
\(\Leftrightarrow\omega^2A^2=3,2^2\omega^2+23,04\pi^2\Leftrightarrow64\pi^2=3,2^2.\omega^2+23,04\pi^2\Leftrightarrow\omega=2\pi\left(rad/s\right)\)
\(\Rightarrow f=\dfrac{\omega}{2\pi}=\dfrac{2\pi}{2\pi}=1\left(Hz\right)\Rightarrow D.1Hz\)
23/ \(\omega A=20;\omega^2A=80\Rightarrow\left\{{}\begin{matrix}\omega=4\left(rad/s\right)\\A=5cm\end{matrix}\right.\)
\(\Rightarrow v=\omega\sqrt{A^2-x^2}=4.\sqrt{5^2-4^2}=12\left(cm/s\right)\Rightarrow A.12cm/s\)
Bài 1 :
\(CT:C_nH_{2n-6}\left(n\ge6\right)\)
\(\%C=\dfrac{12n}{14n-6}\cdot100\%=90.57\%\)
\(\Rightarrow n=8\)
\(CT:C_8H_{10}\)
Bài 2 :
\(n_{CO_2}=\dfrac{17.6}{44}=0.4\left(mol\right)\)
\(CT:C_nH_{2n+1}OH\)
\(\Rightarrow n_{ancol}=\dfrac{n_{CO_2}}{n}=\dfrac{0.4}{n}\left(mol\right)\)
\(M_A=\dfrac{7.4}{\dfrac{0.4}{n}}=\dfrac{37}{2}n\left(\dfrac{g}{mol}\right)\)
\(\Rightarrow14n+18=\dfrac{37}{2}n\)
\(\Rightarrow n=4\)
\(CT:C_4H_9OH\)
\(CTCT:\)
\(B1:\)
\(CH_3-CH_2-CH_2-CH_2-OH:butan-1-ol\)
\(B2:\)
\(CH_3-CH_2-CH\left(CH_3\right)-OH:butan-2-ol\)
\(B2:\)
\(CH_3-CH\left(CH_3\right)-CH_2-OH:2-metylpropan-1-ol\)
\(B3:\)
\(C\left(CH_3\right)_3-OH:2-metylpropan-2-ol\)
3/25 x ( 15/7 - 2/7 ) + 3/7 x 1/25
= 3/25 x 13/7 + 3/7 x 1/25
= (3 x 13/7 + 3/7 ) x 1/25
= 42/7 x 1/25
= 6 x 1/25
= 6/25
\(\dfrac{3}{25}\times\dfrac{15}{7}+\dfrac{3}{7}\times\dfrac{1}{25}-\dfrac{2}{7}\times\dfrac{3}{25}\)
\(=\dfrac{3}{25}\times\left(\dfrac{15}{7}-\dfrac{2}{7}\right)+\dfrac{3}{7}\times\dfrac{1}{25}\)
\(=\dfrac{3}{25}\times\dfrac{13}{7}+\dfrac{3}{7}\times\dfrac{1}{25}\)
\(=\dfrac{3\times13}{25\times7}+\dfrac{3\times1}{7\times25}\)
\(=\dfrac{39}{175}+\dfrac{3}{175}\)
\(=\dfrac{39+3}{175}\)
\(=\dfrac{42}{175}\)
\(=\dfrac{6}{25}\)
\(\dfrac{x+2}{x-2}-\dfrac{2}{x^2-2x}=\dfrac{1}{x}\left(đk:x\ne0,x\ne2\right)\)
\(\Leftrightarrow\dfrac{\left(x+2\right)x-2}{x\left(x-2\right)}=\dfrac{x^2-2x}{x\left(x-2\right)}\)
\(\Leftrightarrow x^2+2x-2=x^2-2x\)
\(\Leftrightarrow4x=2\Leftrightarrow x=\dfrac{1}{2}\)
Cho mình sửa lại nhé:
\(\dfrac{x+2}{x-2}-\dfrac{2}{x^2-2x}=\dfrac{1}{x}\left(đk:x\ne0,x\ne2\right)\)
\(\Leftrightarrow\dfrac{\left(x+2\right)x-2}{x\left(x-2\right)}=\dfrac{x-2}{x\left(x-2\right)}\)
\(\Leftrightarrow x^2+2x-2=x-2\)
\(\Leftrightarrow x^2+x=0\)
\(\Leftrightarrow x\left(x+1\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=0\left(ktm\right)\\x=-1\left(tm\right)\end{matrix}\right.\)
uses crt;
var st:string;
i,d,dem:integer;
b:char;
begin
clrscr;
write('Nhap xau st:'); readln(st);
d:=length(st);
write('Nhap ki tu b:'); readln(b);
dem:=0;
for i:=1 to d do
if b=st[i] then inc(dem);
writeln(dem);
readln;
end.
\(A=\sqrt{\sqrt{3}-1}\left(\sqrt{6}+\sqrt{2}\right)\)
\(A=\sqrt{\sqrt{3}-1}\left(\sqrt{3}+1\right)\sqrt{2}\)
\(A=\sqrt{\left(\sqrt{3}-1\right)\left(\sqrt{3}+1\right)}.\sqrt{\sqrt{3}+1}.\sqrt{2}\)
\(A=\sqrt{3-1}.\sqrt{\sqrt{3}+1}.\sqrt{2}\)
\(A=\sqrt{2}.\sqrt{2}.\sqrt{\sqrt{3}+1}=2.\sqrt{\sqrt{3}+1}\)
Vậy \(A=2\sqrt{\sqrt{3}+1}\).