Câu 8 : 

a) \(n_{Cu}=\dfrac{6,4}{64}=0,1\left(mol\right)\)

\(n_{Al}=\dfrac{54}{27}=2\left(mol\right)\)

b) \(V_{CO_2}=0,15.22,4=3,36\left(l\right)\)

\(V_{N_2}=0,3.22,4=6,72\left(l\right)\)

c) \(n_{hh}=n_{CO_2}+n_{H_2}=\dfrac{0,22}{44}+\dfrac{0,02}{2}=0,015\left(mol\right)\)

\(V_{hh}=0,015.22,4=0,336\left(l\right)\)

Câu 9

a) \(m_N=0,3.14=4.2\left(g\right)\)

\(m_{Cl}=0,4.35,5=14,2\left(g\right)\)

\(m_O=5.16=80\left(g\right)\)

b) \(m_{N_2}=0,2.28=5,6\left(h\right)\)

\(m_{Cl_2}=0,3.71=21,3\left(g\right)\)

\(m_{O_2}=4.32=128\left(g\right)\)

c) \(m_{Fe}=0,12.56=6,72\left(g\right)\)

\(m_{Cu}=3,15.64=201,6\left(g\right)\)

\(m_{H_2SO_4}=0,85.98=83,3\left(g\right)\)

\(m_{CuSO_4}=0,52.160=83,2\left(g\right)\)

8, chon \(Ox\equiv AB,O\equiv A,\) chieu(+) A->B, moc tgian luc 8h

a,\(\Rightarrow\left\{{}\begin{matrix}xA=60t\\xB=200-40t\end{matrix}\right.\)

b,\(\Rightarrow xA=xB\Rightarrow t=2h\)

vi tri 2 xe gap nhau cach A: \(S=60.2=120km\)

c,\(\Leftrightarrow60t+40t+50=200\Rightarrow t=1,5h\)

9. chon  chon \(Ox\equiv AB,O\equiv A,\) chieu(+) A->B, moc tgian luc 7h(gia su AB la quang duong chuyen dong voi nguoi di xe dap o A, nguoi di bo o B)

a,\(\Rightarrow\left\{{}\begin{matrix}xA=12t\\xB=8+4t\end{matrix}\right.\)

b,\(\Rightarrow xA=xB\Rightarrow t=1h\Rightarrow\)vi tri nguoi di xe dap duoi kip cach A:\(S=12km\)

c,\(\Rightarrow\Delta S=\left|12.0,5-8-4.0,5\right|=4km\)

7:

a, chieu(+) A->B \(\Rightarrow x=36t\)

b, chieu(+) B->A \(\Rightarrow x=-36\left(t+1\right)\)

`81^8=3^x`

`=>3^x=(3^4)^8`

`=>3^x=3^32`

`=>x=32`

Vậy `x=32`

x=32

\(81^8=3^x\)

\(\Leftrightarrow\left(3^4\right)^8=3^x\)

\(\Leftrightarrow3^{32}=3^x\)

\(\Leftrightarrow x=32\)

7. A = (x + y)^2 - 4y^2

= (x + y - 2y)(x + y + 2y)

= (x - y)(x + 3y)

2. x^4 + 4

= x^4 + 4x^2 + 4 - 4x^2

= (x^2 + 2)^2 - (2x)^2

= (x^2 + 2x + 2)(x^2 - 2x + 2)

3. 4x^4 + 16

= 4(x^4 + 4)

= 4(x^2 + 2x + 2)(x^2 - 2x + 2)

Gọi chiều rộng mảnh vườn là x ( x >  0 ) 

chiều dài mảnh vườn là 2x 

Theo bài ra ta có pt \(\left(x+4\right)\left(2x-2\right)=2x^2+84\Rightarrow-2x+8x-8=84\)

\(\Leftrightarrow6x=92\Leftrightarrow x=\dfrac{46}{3}\)(tm) 

Vậy chiều rộng mảnh vườn là 46/3 m 

chiều dài mảnh vườn là 92/3 m