Sxq : 4

a x b

bài 2

S+O2-to>SO2

0,1---0,1 mol

n S=\(\dfrac{3,2}{32}\)=0,1 mol

=>VO2=0,1.22,4=2,24l

bài 3

2KMnO4-to>K2MnO4+MnO2+O2

0,35-------------------------------------0,175 mol

n KMnO4=\(\dfrac{55,3}{158}\)=0,35 mol

=>VO2=0,175.22,4=3,92l

a) 2KMnO₄ +16HCl --> 2KCl + 2MnCl₂ + 5Cl₂ + 8H₂O

Chất oxh: KMnO₄; chất khử: HCl

b) 8Al + 30HNO₃ --> 8Al(NO₃)₃ + 3N₂O + 15H₂O

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

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