a, Theo giả thiết ta có: \(n_P=\dfrac{3,1}{31}=0,1\left(mol\right)\)

\(4P+5O_2--t^o->2P_2O_5\)

Ta có: \(n_{O_2}=\dfrac{5}{4}.n_P=0,125\left(mol\right)\Rightarrow V_{O_2\left(đktc\right)}=0,125.22,4=2,8\left(l\right)\)

b, Theo giả thiết ta có: \(n_{CH_4}=\dfrac{1,12}{22,4}=0,05\left(mol\right)\)

\(CH_4+2O_2--t^o->CO_2+2H_2O\)

Ta có: \(n_{O_2}=2.n_{CH_4}=0,1\left(mol\right)\Rightarrow V_{O_2\left(đktc\right)}=2,24\left(l\right)\)

PTHH: \(2KMnO_4\xrightarrow[]{t^o}K_2MnO_4+MnO_2+O_2\)

\(n_{KMnO_4}=\dfrac{m_{KMnO_4}}{M_{KMnO_4}}=\dfrac{15,8}{158}=0,1\left(mol\right)\)

a. Theo PTHH: \(n_{O_2}=\dfrac{1}{2}n_{KMnO_4}=\dfrac{1}{2}0,1=0,05\left(mol\right)\)

\(\Rightarrow V_{O_2}=n_{O_2}.22,4=0,05.22,4=1,12\left(l\right)\)

b. PTHH: \(3Fe+2O_2\xrightarrow[]{t^o}Fe_3O_4\)

\(n_{Fe}=\dfrac{5,6}{56}=0,1\left(mol\right)\)

Ta có: \(\dfrac{1}{n_{O_2}}=\dfrac{1}{0,05}\)

\(\dfrac{1}{n_{Fe}}=\dfrac{1}{0,1}\)

\(\Rightarrow\dfrac{1}{n_{O_2}}>\dfrac{1}{n_{Fe}}\)

Vậy Fe dư

Theo PTHH: \(n_{Fe_3O_4}=\dfrac{0,1.1}{3}=\dfrac{1}{30}\left(mol\right)\)

\(\Rightarrow m_{Fe_3O_4}=n_{Fe_3O_4}.M_{Fe_3O_4}=\dfrac{1}{30}.232\approx7,73g\)

a, \(C_2H_4+3O_2\underrightarrow{t^o}2CO_2+2H_2O\)

\(CO_2+Ca\left(OH\right)_2\rightarrow CaCO_{3\downarrow}+H_2O\)

Ta có: \(n_{C_2H_4}=\dfrac{5,6}{22,4}=0,25\left(mol\right)\)

Theo PT: \(n_{O_2}=3n_{C_2H_4}=0,75\left(mol\right)\Rightarrow V_{O_2}=0,75.22,4=16,8\left(l\right)\)

b, Theo PT: \(n_{CaCO_3}=n_{CO_2}=2n_{C_2H_4}=0,5\left(mol\right)\)

\(\Rightarrow m_{CaCO_3}=0,5.100=50\left(g\right)\)

\(n_{KMnO_4}=\dfrac{31,6}{158}=0,2mol\)

\(2KMnO_4\underrightarrow{t^o}K_2MnO_4+MnO_2+O_2\uparrow\)

0,2                 0,1              0,1        0,1

a)\(V_{O_2}=0,1\cdot22,4=2,24l\)

b)\(m_{CRắn}=m_{K_2MnO_4}+m_{MnO_2}=0,1\cdot197+0,1\cdot87=28,4g\)

c)\(n_{CH_4}=\dfrac{11,2}{22,4}=0,5mol\)

\(CH_4+2O_2\underrightarrow{t^o}CO_2+2H_2O\)

0,5        0,1    0              0

0,05      0,1    0,05         0,1

0,45       0      0,05         0,1

\(V_{CO_2}=0,05\cdot22,4=1,12l\)

\(m_{H_2O}=0,1\cdot18=1,8g\)

PTHH: 2KMnO4--t^o-> K2MnO4+MnO2+O2

              0,2----------------0,1---------0,1-----0,1

b, n_KMnO4= \(\dfrac{31,6}{158}\)=0,2 mol

Theo pt: n_O2=\(\dfrac{1}{2}\).0,2=0,1 mol

=> V_O2= 0,1.22,4= 2,24 l

=>m cr=0,1.197+0,1.87=28,4g

CH4+2O2-to>CO2+2H2O

            0,5-----0,25-----0,5

n CH4=\(\dfrac{11,2}{22,4}\)=0,5 mol

=>Oxi du

=>V CO2=0,25.22,4=5,6l

=>m H2O=0,5.18=9g

nP = 3.1/31 = 0.1 (mol) 

4P + 5O2 -to-> 2P2O5 

0.1__0.125_____0.05

mP2O5 = 0.05*142 = 7.1 (g) 

VO2 = 0.125 * 22.4 = 2.8 (l)

2KMnO₄ --t^o--> MnO₂ + O₂ + K₂MnO₄

0,6 <------------------------- 0,3                          (mol)

a) nO2 = V/22,4 = 6,12/22,4 ≃ 0,3 (mol)

=> mKMnO4 = n . M = 0,6 . 158 = 94,8 ( g)

b) *PT (a) thu được khí O₂

3O₂ + 4Al --to--> 2Al₂O₃

0,3 -> 0,4                                (mol)

m_O2 = 0,3 . 32 = 9,6 (g)

m_Al = 0,4 . 27 = 10,8 (g)

Khối lượng chất rắn cần tìm:

m_Al2O3 = m_O2 + m_Al = 9,6 + 10,8 = 20,4 (g)

a)n_O2=\(\dfrac{3.36}{22.4}\)=0,15(mol)

2KMnO₄(t^o)→K₂MnO₄+MnO₂+O₂

Theo PT: n_KMnO4=2n_O2=0,3(mol)

→m=m_KMnO4=0,3.158=47,4(g)

b)n_H2=\(\dfrac{8.96}{22.4}\)=0,4(mol)

2H₂+O₂(t^o)→2H₂O

Vì \(\dfrac{nH_2}{2}\)<n_O2→O₂nH₂ dư

Theo PT: n_H2O=n_H2=0,4(mol)

→m_H2O=0,4.18=7,2(g)

2KMnO₄-to>K₂MnO₄+MnO₂+O₂

1------------------0,5---------0,5----0,5 mol

n O2=\(\dfrac{11,2}{22,4}\)=0,5 mol

=>x =m _KMnO4=1.158=158g

=>mA=m _K2MnO4+m_MnO2=0,5.197+0,5.87=142g