Số mét khối oxygen trong một căn phòng có thể tích 70,2 \({m^3}\) là:

\(70,2.\dfrac{{21}}{{100}} = 14,742\left( {{m^3}} \right)\) 

Thể tích O trong hh:

a+ \(\dfrac{b}{5}\) =\(\dfrac{5a+b}{5}\)

Ta có: \(\dfrac{5a+b}{5a+5b}=\dfrac{1}{4}\)

15a =b

\(\dfrac{a}{b}=\dfrac{1}{15}\)

\(m_{Al}=19,2\%.27,8=5,3376\left(g\right)\Rightarrow n_{Al}=0,2\left(mol\right)\)

\(m_{Fe}=27,8-5,3376=22,4624\left(g\right)\Rightarrow n_{Fe}=0,4\left(mol\right)\)

\(4Al+3O_2-^{t^o}\rightarrow2Al_2O_3\)

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

Theo PT : \(n_{O_2}=0,2.\dfrac{3}{4}+0,4.\dfrac{2}{3}=\dfrac{5}{12}\left(mol\right)\)

Vì oxi chiếm 20% thể tích không khí

=> \(V_{kk}=\dfrac{5}{12}.22,4.\dfrac{100}{20}=\dfrac{140}{3}\left(lít\right)=46,67\left(lít\right)\)

Bảo toàn khối lượng ta có: \(m_{KL}+m_{O_2}=m_{oxit}\)

=> \(m_{oxit}=27,8+\dfrac{5}{12}.32=\dfrac{617}{15}\left(g\right)=41,13\left(g\right)\)

a, 

mAl=27,8.19,42%=5,4gmAl=27,8.19,42%=5,4g

⇒nAl=5,427=0,2mol⇒nAl=5,427=0,2mol

⇒nFe=27,8−5,456=0,4mol⇒nFe=27,8−5,456=0,4mol

4Al+3O2to→2Al2O34Al+3O2→to2Al2O3

3Fe+2O2to→Fe3O43Fe+2O2→toFe3O4

⇒nO2=34nAl+23nFe=512mol⇒nO2=34nAl+23nFe=512mol

⇒Vkk=512.22,4.5=46,67l⇒Vkk=512.22,4.5=46,67l

b,

mrắn=27,8+mO2=27,8+512.32=41,1g

\(m_{Al}=27,8.\dfrac{19,2}{100}=5,4\) ( g )

\(n_{Al}=\dfrac{m}{M}=\dfrac{5,4}{27}=0,2\)  ( mol ) 

\(m_{Fe}=27,8-5,4=22,4\) ( g )

\(n_{Fe}=\dfrac{m}{m}=\dfrac{22,4}{56}=0,4\) ( mol )

\(4Al\) + \(3O_2\) →  \(2Al_2O_3\)

\(3Fe\) + \(2O_2\) →  \(Fe_3O_4\)

\(n_{O_2}=\dfrac{3}{4}Al+\dfrac{2}{3}Fe=\dfrac{3}{4}.0,2+\dfrac{2}{3}.0,4=\dfrac{5}{12}\)  ( mol )

\(V_{kk}=5V_{O_2}=5.\dfrac{5}{12}.22,4\approx46,7\) ( \(l\) )

0,2 mol                    →       0,1 mol

\(m_{Al}=27,8.19,2\%=5,4\left(g\right)\\ m_{Fe}=27,8-5,4=22,4\left(g\right)\\ \rightarrow\left\{{}\begin{matrix}n_{Al}=\dfrac{5,4}{27}=0,2\left(mol\right)\\n_{Fe}=\dfrac{22,4}{56}=0,4\left(mol\right)\end{matrix}\right.\)

PTHH:

4Al + 3O₂ --t^o--> 2Al₂O₃

0,2-->0,15------->0,1

3Fe + 2O₂ --t^o--> Fe₃O₄

0,4-->4/15--------->2/15

\(\rightarrow\left\{{}\begin{matrix}V_{kk}=\left(0,15+\dfrac{4}{15}\right).22,4.5=\dfrac{140}{3}\left(l\right)\\m_{Cran}=0,1.102+\dfrac{2}{15}.232=\dfrac{617}{15}\left(g\right)\end{matrix}\right.\)

mAl=27,8.19,42%=5,4g

⇒nAl=\(\dfrac{5,4}{27}\)=0,2mol

⇒nFe=\(\dfrac{27,8-5,4}{56}\)=0,4mol

4Al+3O2to→2Al2O34

3Fe+2O2to→Fe3O4

⇒nO2=\(\dfrac{3}{4}\)nAl+\(\dfrac{2}{3}\)nFe=\(\dfrac{5}{12}\)mol

⇒Vkk=\(\dfrac{5}{12}\).22,4.5=46,67l

b,

mrắn=27,8+mO2=27,8+​​\(\dfrac{5}{12}\)32=41,1g

→⎧⎪ ⎪ ⎪⎨⎪ ⎪ ⎪⎩Vkk=(0,15+415

Chọn A.

Đáp án B

Đáp án : A 

C + O₂ à CO₂ ( số mol khí trước và sau phản ứng không đổi)

=> n_CO2 = n_C = 0,044 = 5x.22% => x = 0,04 mol

m = m_Y + mO₂ = m_KCl. 100 19 , 893  + 32.0,04 = 8,77g