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Bài 5:
CTPT: CxHyO
\(n_{CaCO_3}=\dfrac{40}{100}=0,4\left(mol\right)\)
PTHH: 2CxHyO + \(\dfrac{4x+y-2}{2}\)O2 --to--> 2xCO2 + yH2O
\(\dfrac{0,4}{x}\)<--\(\dfrac{0,4\left(4x+y-2\right)}{4x}\)<------0,4
Ca(OH)2 + CO2 --> CaCO3 + H2O
0,4<-----0,4
=> \(M_{C_xH_yO}=\dfrac{7,4}{\dfrac{0,4}{x}}=18,5x\left(g/mol\right)\)
=> y + 16 = 6,5x (1)
Có \(n_{O_2}=\dfrac{19,2}{32}=0,6\left(mol\right)\)
=> \(\dfrac{0,4\left(4x+y-2\right)}{4x}=0,6\)
=> 0,8x = 0,4y - 0,8 (2)
(1)(2) => x = 4; y = 10
CTPT: C4H10O
Em tách nhỏ ra rồi hỏi nhe!! VD như 1 bài hỏi 1 lần á
3) Ta có: \(\dfrac{\sqrt{10}+\sqrt{15}}{\sqrt{8}+\sqrt{12}}-\dfrac{3\sqrt{5}}{4}\)
\(=\dfrac{\sqrt{5}\left(\sqrt{2}+\sqrt{3}\right)}{2\left(\sqrt{2}+\sqrt{3}\right)}-\dfrac{3\sqrt{5}}{4}\)
\(=\dfrac{2\sqrt{5}-3\sqrt{5}}{4}\)
\(=\dfrac{-\sqrt{5}}{4}\)
1) Ta có: \(\dfrac{1}{\sqrt{3}-1}+\dfrac{1}{4+2\sqrt{3}}-\dfrac{2}{\sqrt{3}}-\dfrac{3}{2}\)
\(=\dfrac{\sqrt{3}+1}{2}+\dfrac{2-\sqrt{3}}{2}-\dfrac{2\sqrt{3}}{3}-\dfrac{3}{2}\)
\(=\dfrac{\sqrt{3}+1+2-\sqrt{3}-3}{2}-\dfrac{2\sqrt{3}}{3}\)
\(=-\dfrac{2\sqrt{3}}{3}\)
3) Ta có: \(\dfrac{\sqrt{10}+\sqrt{15}}{\sqrt{8}+\sqrt{12}}-\dfrac{3\sqrt{5}}{4}\)
\(=\dfrac{\sqrt{5}\left(\sqrt{2}+\sqrt{3}\right)}{2\left(\sqrt{2}+\sqrt{3}\right)}-\dfrac{3\sqrt{5}}{4}\)
\(=\dfrac{2\sqrt{5}-3\sqrt{5}}{4}\)
\(=\dfrac{-\sqrt{5}}{4}\)
a: \(\Leftrightarrow\left\{{}\begin{matrix}\dfrac{15}{3x+y}+\dfrac{12}{2x-3y}=-6\\\dfrac{15}{3x+y}-\dfrac{25}{2x-3y}=105\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}\dfrac{37}{2x-3y}=-111\\\dfrac{4}{2x-3y}+\dfrac{5}{3x+y}=-2\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}2x-3y=-\dfrac{1}{3}\\3x+y=\dfrac{1}{2}\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}2x-3y=-\dfrac{1}{3}\\9x+3y=\dfrac{3}{2}\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}11x=\dfrac{7}{6}\\3x+y=\dfrac{1}{2}\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=\dfrac{7}{66}\\y=\dfrac{2}{11}\end{matrix}\right.\)
\(ĐK:x\ge0;x\ne1\\ 1,P=\dfrac{x-2\sqrt{x}+1-x-\sqrt{x}+5\sqrt{x}+1}{\left(\sqrt{x}-1\right)\left(\sqrt{x}+1\right)}=\dfrac{2\left(\sqrt{x}+1\right)}{\left(\sqrt{x}-1\right)\left(\sqrt{x}+1\right)}=\dfrac{2}{\sqrt{x}-1}\\ 2,P< 0\Leftrightarrow\sqrt{x}-1< 0\left(2>0\right)\\ \Leftrightarrow\sqrt{x}< 1\Leftrightarrow0\le x< 1\)
Câu 1:
0,9 x 218 x 2 + 0,18 x 4290 + 0,6 x 353 x 3
= 9/10 x 436 + 9/50 x 4290 + 6/10 x 1059
= 9 x 43,6 + 9 x 85,8 + 6 x 105,9
= 3 x 130,8 + 3 x 257,4 + 3 x 211,8
= 3 x ( 130,8 + 257,4 + 211,8 )
= 3 x 600
= 1800
Câu 2:
3/4 x X + 1/2 x X - 15 = 35
X x ( 3/4 + 1/2 ) - 15 = 35
X x ( 3/4 + 1/2 ) = 50
X x 5/4 = 50
X = 40
VẬy X = 40
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