1 Kai is tired because he stayed up late watching TV

2 Since I have a broken leg, I fell over while I was playing basketball

3 Sehun is going to be late for school as the bus is late

4 Because Lisa was careless, she broke the cup

5 Rose wants to go home since she feels sick

6 Jimin is hungry as he hasn't eaten all day

7 Since plastic bags are very hard to dissolve, they will cause pollution

8 People reuse and recycle bottles and cans as they want to reduce garbage

9 The sea is becoming increasingly polluted since people drop garbage into the sea

10 We shouldn't throw trash onto the water as polluted water can directly do harm to people's health and kill fish

\(4P+5O_2 \to 2P_2O_5\\ n_P=\frac{3,1}{31}=0,1(mol)\\ n_{O_2}=\frac{5}{32}=0,15625(mol)\\ \text{P hết}, O_2 \text{ dư}\\ a/ \\ m_{O_2}=(0,15625-0,125).32=1(g)\\ b/\\ \text{Chất tạo thành: } P_2O_5\\ n_{P_2O_5}=0,05(mol)\\ m_{P_2O_5}=0,05.142=7,1(g)\)

Bạn chia nhỏ nội dung ra để dc trợ giúp nhé

A

B

Chọn bừa à

1 D

2 C

3 C

4 A

5 B

6 C

7 D

8 A

9 B

10 C

Ta có: \(n_{SO_2}=\dfrac{6,72}{22,4}=0,3\left(mol\right)\)

a. PTHH: 

Na₂SO₃ + H₂SO₄ ---> Na₂SO₄ + SO₂ + H₂O (1)

K₂SO₃ + H₂SO₄ ---> K₂SO₄ + SO₂ + H₂O (2)

Theo PT_(1,2): \(n_{H_2SO_4}=n_{SO_2}=0,3\left(mol\right)\)

=> \(m_{H_2SO_4}=0,3.98=29,4\left(g\right)\)

b. Gọi x, y lần lượt là số mol của Na₂SO₃ và K₂SO₃

Theo PT_(1,2): 

=> x + y = 0,3

Theo đề, ta có: 126x + 158y = 44,2

=> x = 0,1, y = 0,2

Theo PT₍₁₎: \(n_{Na_2SO_4}=n_{Na_2SO_3}=0,1\left(mol\right)\)

=> \(m_{Na_2SO_4}=0,1.142=14,2\left(g\right)\)

Theo PT₍₂₎: \(n_{K_2SO_4}=n_{K_2SO_3}=0,2\left(mol\right)\)

=> \(m_{K_2SO_4}=0,2.164=34,8\left(g\right)\)

=> \(m_{sau.phản.ứng}=34,8+14,2=49\left(g\right)\)

Ta có: \(C_{\%_{H_2SO_4}}=\dfrac{0,3.98}{m_{dd_{H_2SO_4}}}.100\%=20\%\)

=> \(m_{dd_{H_2SO_4}}=147\left(g\right)\)

Ta có: \(m_{dd_{sau.phản.ứng}}=147+44,2=191,2\left(g\right)\)

=> \(C_{\%_{dd_{sau.phản.úng}}}=\dfrac{49}{191,2}.100\%=25,63\%\)

c. Đổi 500ml = 0,5 lít

=> \(n_{Ba\left(OH\right)_2}=1.0,5=0,5\left(mol\right)\)

Ta có: \(T=\dfrac{n_{SO_2}}{n_{Ba\left(OH\right)_2}}=\dfrac{0,3}{0,5}=0,6< 1\)

Vậy PTHH là: \(SO_2+Ba\left(OH\right)_2--->BaSO_3+H_2O\) (Ba(OH)₂ dư.)

Theo PT: \(n_{BaSO_3}=n_{SO_2}=0,3\left(mol\right)\)

=> \(m_{BaSO_3}=0,3.217=65,1\left(g\right)\)

\(n_{SO_2}=\dfrac{6,72}{22,4}=0,3mol\)

 \(Na_2SO_3+H_2SO_4\rightarrow Na_2SO_4+H_2O+SO_2\)

     \(x\)                                                             \(x\)  

  \(K_2SO_3+H_2SO_4\rightarrow K_2SO_3+H_2O+SO_2\)

    \(y\)                                                            \(y\)

Ta có: \(\left\{{}\begin{matrix}126x+158y=44,2\\x+y=0,3\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}x=0,1\\y=0,2\end{matrix}\right.\)

a)\(\Rightarrow\Sigma n_{H_2SO_4}=0,1+0,2=0,3mol\)

    \(\Rightarrow m_{H_2SO_4}=0,3\cdot98=29,4\left(g\right)\)

    \(\Rightarrow m_{ddH_2SO_4}=\dfrac{29,4}{20}\cdot100=147\left(g\right)\)

b) 

B

\(A=3+3^2+...+3^{2005}\)

\(\Rightarrow3A=3^2+3^3+...+3^{2006}\)

\(\Rightarrow3A-A=3^{2006}-3\)

\(\Rightarrow2A=3^{2006}-3\)

\(\Rightarrow2A+3=3^{2006}\) là 1 lũy thừa của 3 (đpcm)

4.

\(B=1+1+2+2^2+2^3+...+2^{100}\)

\(2B=2+2+2^2+...+2^{101}\)

\(\Rightarrow2B-B=2+2^{101}-\left(1+1\right)=2^{101}\)

\(\Rightarrow B=2^{101}\) là 1 lũy thừa của 2 (đpcm)