Giúp em với mn ơi, câu này khó quá
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a) \(n_{Zn}=\dfrac{13}{65}=0,2\left(mol\right);n_{H_2SO_4}=0,1.2,5=0,25\left(mol\right)\)
PTHH: Zn + H2SO4 → ZnSO4 + H2
Mol: 0,2 0,2 0,2 0,2
Ta có: \(\dfrac{0,2}{1}< \dfrac{0,25}{1}\) ⇒ Zn hết, H2SO4 dư
b) \(V_{H_2}=0,2.22,4=4,48\left(l\right)\)
c) \(m_{ZnSO_4}=0,2.161=32,2\left(g\right)\)
\(m_{H_2SO_4\left(dư\right)}=\left(0,25-0,2\right).98=4,9\left(g\right)\)
Bài 2 :
\(n_{Zn}=\dfrac{13}{65}=0,2\left(mol\right)\)
100ml = 0,1l
\(n_{H2SO4}=2,5.0,1=0,25\left(mol\right)\)
a) Pt : \(Zn+2H_2SO_4\rightarrow ZnSO_4+H_2|\)
1 1 1 1
0,2 0,25 0,2 0,2
b) Lập tỉ số so sánh : \(\dfrac{0,2}{1}< \dfrac{0,25}{2}\)
⇒ Zn phản ứng hết , H2SO4 dư
⇒ Tính toán dựa vào số mol của Zn
\(n_{H2}=\dfrac{0,2.1}{1}=0,2\left(mol\right)\)
\(V_{H2\left(dktc\right)}=0,2.22,4=4,48\left(l\right)\)
c) \(n_{ZnCl2}=\dfrac{0,2.1}{1}=0,2\left(mol\right)\)
⇒ \(m_{ZnCl2}=0,2.136=27,2\left(g\right)\)
\(n_{H2SO4\left(dư\right)}=0,25-0,2=0,05\left(mol\right)\)
⇒ \(m_{H2SO4\left(dư\right)}=0,05.98=4,9\left(g\right)\)
Chúc bạn học tốt
e) Ta có: \(x^3-4x-14x\left(x-2\right)=0\)
\(\Leftrightarrow x\left(x-2\right)\left(x+2\right)-14x\left(x-2\right)=0\)
\(\Leftrightarrow x\left(x-2\right)\left(x+2-14\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=0\\x=2\\x=12\end{matrix}\right.\)
e)x3-4x+14x(x-2)=0
⇔ x(x2-4)+14x(x-2)=0
⇔ x(x-2)(x+2)+14x(x-2)=0
⇔ (x-2)(x2+2x+14x)=0
⇔ x(x-2)(x+16)=0
\(\Leftrightarrow\left\{{}\begin{matrix}x=0\\x-2=0\\x+16=0\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=0\\x=2\\x=-16\end{matrix}\right.\)
g)x2(x+1)-x(x+1)+x(x-1)=0
⇔ (x+1)(x2-x)+x(x-1)=0
⇔ x(x+1)(x-1)+x(x-1)=0
⇔ x(x-1)(x+2)=0
\(\Leftrightarrow\left\{{}\begin{matrix}x=0\\x-1=0\\x+2=0\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x=0\\x=1\\x=-2\end{matrix}\right.\)
\(1+cota+cot^2a+cot^3a\)
\(=1+\dfrac{cosa}{sina}+\dfrac{cos^2a}{sin^2a}+\dfrac{cos^3a}{sin^3a}\)
\(=\left(1+\dfrac{cosa}{sina}\right)\left(1+\dfrac{cos^2a}{sin^2a}\right)\)
\(=\dfrac{sina+cosa}{sina}.\dfrac{sin^2a+cos^2a}{sin^2a}\)
\(=\dfrac{cosa+sina}{sin^3a}\)