C12:

\(nK=\dfrac{19,5}{39}=0,5\left(mol\right)\)

\(2K+2H_2O\rightarrow2KOH+H_2\)

0,5      0,5            0,5        0,25  (mol)

mKOH = 0,5.56 = 28 (g)

m\(H_2=0,25.2=0,5\left(g\right)\)

mdd = mK + mddH2O - mH2

        = 19,5  + 261 - 0,5 = 280 (g)

\(C\%_{dd}=\dfrac{28.100}{280}=10\%\)

=> Chọn D

II. Tự luận 

C1 : 

\(4P+5O_2\underrightarrow{t^o}2P_2O_5\)

\(3Fe+2O_2\underrightarrow{t^o}Fe_3O_4\)

C2 :

\(N_2O_5+H_2O\rightarrow2HNO_3\)

=> Pứ hóa hợp

\(Fe_2O_3+3CO\underrightarrow{t^o}2Fe+3CO_2\)

=> Pứ thế

C3:

Trích mẫu thử ở mỗi dung dịch , đánh số thứ tự , ta nhúng quỳ :

+ Quỳ chuyển đỏ : HCl

+ Quỳ chuyển xanh : NaOH

+ Quỳ không chuyển màu : NaCl

C4:

\(nCuO=\dfrac{2,4}{80}=0,03\left(mol\right)\)

\(CuO+H_2\rightarrow Cu+H_2O\)

0,03-->0,03--->0,03-->0,03

\(VH_2=0,03.22,4=0,672\left(l\right)\)

\(2Al+3H_2SO_4\rightarrow Al_2\left(SO_4\right)_3+3H_2\)

0,02                                           0,03  (mol)

\(mAl=0,02.27=0,54\left(g\right)\)

Đáp án không thôi nhá chứ giải mất tg lắm

a) \(6x^2-8x=2x\left(3x-4\right)\)

b) \(21x^2y^7-12x^5y^3=3x^2y^3\left(7y^4-4x^3\right)\)

c) \(4x^2y-6xy^2=2xy\left(2x-3y\right)\)

d) \(24x^2y-18xy^2=6xy\left(4x-3y\right)\)

e) \(9x^2y^2+12x^2y-15xy^2=3xy\left(3xy+4x-5y\right)\)

f) \(x\left(x+y\right)+y\left(-x-y\right)=x\left(x+y\right)-y\left(x+y\right)=\left(x+y\right)\left(x-y\right)\)

g) \(3\left(x+y\right)+x\left(x+y\right)=\left(x+y\right)\left(x+3\right)\)

h) \(3x\left(x-y\right)-6y\left(y-x\right)=3x\left(x-y\right)+6y\left(x-y\right)=3\left(x-y\right)\left(x+2y\right)\)

4.2:

a: x^2-x+1=x^2-x+1/4+3/4

=(x-1/2)^2+3/4>=3/4>0 với mọi x

=>x^2-x+1 ko có nghiệm

b: 3x-x^2-4

=-(x^2-3x+4)

=-(x^2-3x+9/4+7/4)

=-(x-3/2)^2-7/4<=-7/4<0 với mọi x

=>3x-x^2-4 ko có nghiệm

5:

a: x^2+y^2=25

x^2-y^2=7

=>x^2=(25+7)/2=16 và y^2=16-7=9

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

=16^2+9^2

=256+81

=337

b: x^2+y^2=(x+y)^2-2xy

=1^2-2*(-6)

=1+12=13

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

=1^3-3*1*(-6)

=1+18=19

beautifully

excitedly

interesting

collected

arrangements

peacefully

excited

different

a,\(x^2-7x+6=x^2-x-6x+6\)

                       \(=x\left(x-1\right)-6\left(x-1\right)\)

                        \(=\left(x-6\right)\left(x-1\right)\)

a) x²-7x+6=(x²-x)-(6x-6)=x(x-1)-6(x-1)=(x-6)(x-1)

b) x²-6x+3=(x²-6x+9)-6=(x-3)²-\(\sqrt{6^2}\)=(x-3-\(\sqrt{6}\))(x-3+\(\sqrt{6}\))

c) x²-4x+3=(x²-x)-(3x-3)=x(x-1)-3(x-1)=(x-3)(x-1)

d) 3x²-5x+2=(3x²-3x)-(2x-2)=3x(x-1)-2(x-1)=(3x-2)(x-1)

e) 7x²-x-6=(7x²-7x)+(6x-6)=7x(x-1)+6(x-1)=(7x+6)(x-1)

f) 3x²-5x-8=(3x²+3x)-(8x+8)=3x(x+1)-8(x+1)=(3x-8)(x+1)

g) x²-6x+5=(x²-x)-(5x-5)=x(x-1)-5(x-1)=(x-5)(x-1)

h) x²-2x-3=(x²-2x+1)-4=(x-1)²-2²=(x-1-2)(x-1+2)=(x-3)(x+1)

i) x²-x-12=(x²+3x)-(4x+12)=x(x+3)-4(x+3)=(x-4)(x+3)

Lời giải:

ĐKĐB $\Rightarrow \frac{2}{c}=\frac{a+b}{ab}\Rightarrow c(a+b)=2ab$

Khi đó:

$\frac{a}{b}-\frac{a-c}{c-b}=\frac{a(c-b)-b(a-c)}{b(c-b)}=\frac{ac-ab-ab+bc}{b(c-b)}=\frac{c(a+b)-2ab}{b(c-b)}=\frac{2ab-2ab}{b(c-b)}=0$

$\Rightarrow \frac{a}{b}=\frac{a-c}{c-b}$ (đpcm) 

45. The residents find heavy traffic annoying.

46. Mrs Brown is going to have the pipes checked by a plumber next Sunday.

47. This book, which consists of a list of endangered animals, is important.

48. I have difficulty improving my listening English skill.

49. In spite of not having time, they try to eat dinner together.

50. The police officer who gave me the directions how to get home was friendly.

51. They are looking forward to seeing their grandparents this weekend.

52. Unless you try your best, you won’t be successful.

1 interested in travelling by plane

2 15 minutes riding his bike to school

3 is made by my mother everymorning

4 take care of her little brother

5 able to speak 2 languages when he was young

6 able to play the piano

7 is played all over VN

8 to play voleyball very well when he was young

9 to go fishing when he was young

10 way to the shopping mall