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\(n_{Fe}=\dfrac{1,68}{56}=0,03\left(mol\right)\)
PTHH: 3Fe + 2O2 ---to---> Fe3O4
0,03 0,02 0,01
V = VO2 = 0,02.24,79 = 0,4958 (l)
mFe3O4 = 0,01.232 = 2,32 (g)
PTHH: Fe3O4 + 4H2 ---to---> 3Fe + 4H2O
0,01 0,04
VH2 = 0,04.24,79 = 0,9916 (l)
19.
\(\left(a+b\right)^2\le2\left(a^2+b^2\right)=4\Rightarrow-2\le a+b\le2\)
\(P=3\left(a+b\right)+ab=3\left(a+b\right)+\dfrac{\left(a+b\right)^2-\left(a^2+b^2\right)}{2}=\dfrac{1}{2}\left(a+b\right)^2+3\left(a+b\right)-1\)
Đặt \(a+b=x\Rightarrow-2\le x\le2\)
\(P=\dfrac{1}{2}x^2+3x-1=\dfrac{1}{2}\left(x+2\right)\left(x+4\right)-5\ge-5\) (đpcm)
Dấu "=" xảy ra khi \(x=-2\) hay \(a=b=-1\)
20.
Đặt \(P=2a+2ab+abc\)
\(P=2a+ab\left(2+c\right)\le2a+\dfrac{a}{4}\left(b+2+c\right)^2=2a+\dfrac{a}{4}\left(7-a\right)^2\)
\(P\le\dfrac{1}{4}\left(a^3-14a^2+57a-72\right)+18=18-\dfrac{1}{4}\left(8-a\right)\left(a-3\right)^2\le18\) (đpcm)
Dấu "=" xảy ra khi \(\left(a;b;c\right)=\left(3;2;0\right)\)
2The air in the city is more polluted than the air in the countryside
3It is very interesting in take boat trip to the Perfume River
The air in the city is more polluted than the air in the countryside