Giải giúp mình câu 30 ạ mink cảm ơn
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a) 2KMnO4 +16HCl --> 2KCl + 2MnCl2 + 5Cl2 + 8H2O
Chất oxh: KMnO4; chất khử: HCl
Mn+7 +5e->Mn+2 | x2 |
2Cl- -2e--> Cl20 | x5 |
b) 8Al + 30HNO3 --> 8Al(NO3)3 + 3N2O + 15H2O
Al0 -3e --> Al+3 | x8 |
2N+5 +8e--> N2+1 | x3 |
31:
\(n_{Fe}=\dfrac{5,6}{56}=0,1\left(mol\right)\)
PTHH: Fe + H2SO4 --> FeSO4 + H2
_____0,1----------------->0,1
10FeSO4 + 2KMnO4 + 8H2SO4 --> K2SO4 + 2MnSO4 + 5Fe2(SO4)3 + 8H2O
=> nKMnO4 = 0,02 (mol)
=> \(V=\dfrac{0,02}{0,5}=0,04\left(l\right)=40\left(ml\right)\)
12.
\(y=\sqrt{2}sin\left(2x+\dfrac{\pi}{4}\right)\le\sqrt[]{2}\)
\(\Rightarrow M=\sqrt{2}\)
13.
Pt có nghiệm khi:
\(5^2+m^2\ge\left(m+1\right)^2\)
\(\Leftrightarrow2m\le24\)
\(\Rightarrow m\le12\)
14.
\(\Leftrightarrow\left[{}\begin{matrix}cosx=1\\cosx=-\dfrac{5}{3}\left(loại\right)\end{matrix}\right.\)
\(\Leftrightarrow x=k2\pi\)
15.
\(\Leftrightarrow\left[{}\begin{matrix}tanx=-1\\tanx=3\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=-\dfrac{\pi}{4}+k\pi\\x=arctan\left(3\right)+k\pi\end{matrix}\right.\)
Đáp án A
16.
\(\dfrac{\sqrt{3}}{2}sinx-\dfrac{1}{2}cosx=\dfrac{1}{2}\)
\(\Leftrightarrow sin\left(x-\dfrac{\pi}{6}\right)=\dfrac{1}{2}\)
\(\Leftrightarrow\left[{}\begin{matrix}x-\dfrac{\pi}{6}=\dfrac{\pi}{6}+k2\pi\\x-\dfrac{\pi}{6}=\dfrac{5\pi}{6}+k2\pi\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{\pi}{3}+k2\pi\\x=\pi+k2\pi\end{matrix}\right.\)
\(\left[{}\begin{matrix}2\pi\le\dfrac{\pi}{3}+k2\pi\le2018\pi\\2\pi\le\pi+k2\pi\le2018\pi\end{matrix}\right.\) \(\Rightarrow\left[{}\begin{matrix}1\le k\le1008\\1\le k\le1008\end{matrix}\right.\)
Có \(1008+1008=2016\) nghiệm
Câu 30:
Gọi \(\left\{{}\begin{matrix}n_{Mg}=a\left(mol\right)\\n_{Zn}=b\left(mol\right)\end{matrix}\right.\left(a,b>0\right)\)
\(n_{H_2}=\dfrac{4,48}{22,4}=0,2\left(mol\right)\)
PTHH:
Mg + H2SO4 ---> MgSO4 + H2
a--------------------------------->a
Zn + H2SO4 ---> ZnSO4 + H2
b--------------------------------->b
Hệ pt \(\left\{{}\begin{matrix}24a+65b=8,9\\a+b=0,2\end{matrix}\right.\Leftrightarrow a=b=0,1\left(mol\right)\)
\(\rightarrow\left\{{}\begin{matrix}m_{Mg}=0,1.24=2,4\left(g\right)\\m_{Zn}=0,1.65=6,5\left(g\right)\end{matrix}\right.\)
\(n_{H_2}=\dfrac{4,48}{22,4}=0,2\left(mol\right)\)
gọi nMg : a ., nZn : b
=> 24a+65b = 8,9 (g)
pthh: \(Zn+H_2SO_4\rightarrow ZnSO_4+H_2\)
b b
\(Mg+H_2SO_4\rightarrow MgSO_4+H_2\)
a a
=> a+b = 0,2
=> \(\left\{{}\begin{matrix}24a+65b=8,9\\a+b=0,2\end{matrix}\right.\)
=> a = 0,1(mol) , b = 0,1 (mol)
=> \(m_{Mg}=0,1.24=2,4\left(g\right)m_{Zn}=0,1.65=6,5\left(g\right)\)