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nO2=7,8/22,4=0,35(mol)
2KMnO4---t*---> K2MnO4 + MnO2 + O2 (1)
x 0,5x 0,5x 0,5x (mol)
2KClO3 ----t*---> 2KCl + 3O2 (2)
y y 1,5y (mol)
Thao pt(1),(2) ta có hệ pt:
\(\left\{{}\begin{matrix}158x+122,5y=47,33\\0,5x+1,5y=0,35\end{matrix}\right.\)\(\Leftrightarrow\left\{{}\begin{matrix}x=0,16\\y=0,18\end{matrix}\right.\)
Chất rắn trc pư là: KMnO4 và KClO3
Chất rắn sau pư là: K2MnO4 và MnO2
->mKMnO4=0,16.158=25,28
=>%KMnO4=25,28/47,33.100%=53,41%
=>%KClO3=100%-53,41%=46,59%
mK2MnO4=0,5.0,16.197=15,76(g)
mMnO2=0,16.0,5.87=6,96(g)
->%K2MnO4=15,76/(15,76+6,96).100%=69,37%
->%MnO2=100%-69,37%=60,63%
\(a)n_{KMnO_4} = a; n_{KClO_3} = b\Rightarrow 158a + 122,5b = 99,95(1)\\ 2KMnO_4 \xrightarrow{t^o} K_2MnO_4 + MnO_2 + O_2\\ 2KClO_3 \xrightarrow{t^o} 2KCl + 3O_2\\ n_{O_2} = 0,5a +1,5b = \dfrac{14,56}{22,4}=0,65(2)\\ (1)(2)\Rightarrow a = 0,4 ; b = 0,3\\ \%m_{KMnO_4} = \dfrac{0,4.158}{99,95}.100\% = 63,23\%\\ \%m_{KClO_3} = 100\%-63,23\% = 36,77\%\)
\(n_{K_2MnO_4} = n_{MnO_2} = 0,5a = 0,2(mol)\\ n_{KClO_3} = b = 0,3(mol)\\ m_{hh\ sau\ pư} = 99,95 - 0,65.32 = 79,15(gam)\\ \%m_{K_2MnO_4} = \dfrac{0,2.197}{79,15}.100\% = 49,78\%\\ \%m_{MnO_2} = \dfrac{0,2.87}{79,15},100\% = 21,98\%\\ \%m_{KCl} = 28,24\%\)
Gọi $n_{Al}= a(mol) ; n_{Fe} = b(mol) \Rightarrow 27a + 56b = 4,44(1)$
$4Al + 3O_2 \xrightarrow{t^o} 2Al_2O_3$
$3Fe + 2O_2 \xrightarrow{t^o} Fe_3O_4$
$Fe_3O_4 + 4H_2 \xrightarrow{t^o} 3Fe + 4H_2O$
B gồm : $Al_2O_3, Fe$
$n_{Al_2O_3} = \dfrac{1}{2}n_{Al} = 0,5a(mol)$
Suy ra: $0,5a.102 + 56b = 5,4(2)$
Từ (1)(2) suy ra a = 0,04 ; b = 0,06
$m_{Al} = 0,04.27 =1,08\ gam$
$m_{Fe} = 0,06.56 = 3,36\ gam$
a)
Theo ĐLBTKL: \(m_{Fe\left(bđ\right)}+m_{O_2}=m_X\)
=> \(m_{O_2}=26,4-20=6,4\left(g\right)\)
=> \(n_{O_2}=\dfrac{6,4}{32}=0,2\left(mol\right)\Rightarrow V=0,2.22,4=4,48\left(l\right)\)
b)
PTHH: 3Fe + 2O2 --to--> Fe3O4
0,2------->0,1
=> \(\%m_{Fe_3O_4}=\dfrac{0,1.232}{26,4}.100\%=87,88\%\)
c)
- Nếu dùng KClO3
PTHH: 2KClO3 --to--> 2KCl + 3O2
\(\dfrac{0,4}{3}\)<-----------------0,2
=> \(m_{KClO_3}=\dfrac{0,4}{3}.122,5=\dfrac{49}{3}\left(g\right)\)
- Nếu dùng KMnO4:
PTHH: 2KMnO4 --to--> K2MnO4 + MnO2 + O2
0,4<--------------------------------0,2
=> \(m_{KMnO_4}=0,4.158=63,2\left(g\right)\)
a) $n_{O_2} = 0,15(mol)$
\(2KMnO_4\xrightarrow[]{t^o}K_2MnO_4+MnO_2+O_2\)
0,3 0,15 0,15 0,15 (mol)
$H = \dfrac{0,15.158}{63,2}.100\% = 37,5\%$
b)
$m_B = 63,2 - 0,15.32 = 58,4(gam)$
$\%m_{K_2MnO_4} = \dfrac{0,15.197}{58,4}.100\% = 50,59\%$
$\%m_{MnO_2} = \dfrac{0,15.87}{58,4}.100\% = 22,35\%$
$\%m_{KMnO_4\ dư} = 100\% -50,59\% -22,35\% = 27,06\%$
Gọi số mol KClO3, KMnO4 trong mỗi phần là a, b (mol)
Phần 1:
\(n_{O_2}=\dfrac{2,24}{22,4}=0,1\left(mol\right)\)
mY = 122,5a + 158b - 0,1.32 = 122,5a + 158b - 3,2 (g)
Bảo toàn O: \(n_{O\left(Y\right)}=3a+4b-0,2\left(mol\right)\)
\(\%O=\dfrac{16\left(3a+4b-0,2\right)}{122,5a+158b-3,2}.100\%=34,5\%\)
=> 5,7375a + 9,49b = 2,096 (1)
Phần 2:
PTHH: 2KClO3 --to--> 2KCl + 3O2
a----------->a
2KMnO4 --to--> K2MnO4 + MnO2 + O2
b------------>0,5b------>0,5b
=> 74,5a + 142b = 29,1 (2)
(1)(2) => a = 0,2 (mol); b = 0,1 (mol)
=> \(\left\{{}\begin{matrix}\%m_{KClO_3}=\dfrac{0,2.122,5}{0,2.122,5+0,1.158}.100\%=60,8\%\\\%m_{KMnO_4}=\dfrac{0,1.158}{0,2.122,5+0,1.158}.100\%=39,2\%\end{matrix}\right.\)
1) \(n_{O_2}=\dfrac{3,36}{22,4}=0,15\left(mol\right)\)
mA = mKMnO4(bđ) - mO2 = 79 - 0,15.32 = 74,2 (g)
PTHH: 2KMnO4 --to--> K2MnO4 + MnO2 + O2
0,3<-----------0,15<----0,15<---0,15
=> \(H=\dfrac{0,3.158}{79}.100\%=60\%\)
2)
\(\left\{{}\begin{matrix}\%m_{K_2MnO_4}=\dfrac{0,15.197}{74,2}.100\%=39,825\%\\\%m_{MnO_2}=\dfrac{0,15.87}{74,2}.100\%=17,588\%\\\%m_{KMnO_4\left(không.pư\right)}=\dfrac{79-0,3.158}{74,2}.100\%=42,587\%\end{matrix}\right.\)
3) \(n_{KMnO_4\left(không.pư\right)}=\dfrac{79}{158}-0,3=0,2\left(mol\right)\)
PTHH: 2KMnO4 + 16HCl --> 2KCl + 2MnCl2 + 5Cl2 + 8H2O
0,2----------------------------------->0,5
K2MnO4 + 8HCl --> 2KCl + MnCl2 + 2Cl2 + 4H2O
0,15-------------------------------->0,3
MnO2 + 4Hcl --> MnCl2 + Cl2 + 2H2O
0,15------------------->0,15
=> \(V_{Cl_2}=22,4\left(0,5+0,3+0,15\right)=21,28\left(l\right)\)
\(n_{KMnO_4}=\dfrac{79}{158}=0,5mol\)
\(n_{O_2}=\dfrac{3,36}{22,4}=0,15mol\)
\(2KMnO_4\underrightarrow{t^o}K_2MnO_4+MnO_2+O_2\)
0,5 0,15
a)\(m_{KMnO_4}=0,15\cdot197=29,55g\)
\(m_{MnO_2}=0,15\cdot87=13,05g\)
\(m_{CRắn}=m_{KMnO_4}+m_{MnO_2}=29,55+13,05=42,6g\)
\(n_{KMnO_4pư}=0,15\cdot2=0,3mol\)
\(H=\dfrac{0,3}{0,5}\cdot100\%=60\%\)
b)\(m_{O_2}=0,15\cdot32=4,8g\)
\(\%m_{K_2MnO_4}=\dfrac{29,55}{42,6}\cdot100\%=69,37\%\)
\(\%m_{MnO_2}=100\%-69,37\%=30,63\%\)
2KMnO4-to>K2MnO4+MnO2+O2
0,14-------------0,07------0,07-------0,07 mol
n KMnO4=\(\dfrac{22,12}{158}\)=0,14 mol
=>a=mcr=0,07.197+0,07.87=23,82g
=>VO2=0,07.22,4=1,568l
b)
2Cu+O2-to>2CuO
0,07-----0,14
n Cu=\(\dfrac{10,24}{64}\)=0,16 mol
Cu dư :0,01 mol
m chất rắn =0,01.64+0,14.80=11,84g
a) \(n_{KCl}=\dfrac{14,9}{74,5}=0,2\left(mol\right)\)
PTHH: 2KClO3 --to--> 2KCl + 3O2
0,2<-----------0,2----->0,3
=> mKClO3 = 0,2.122,5 = 24,5(g)
VO2 = 0,3.22,4 = 6,72(l)
b) \(n_{KClO_3}=\dfrac{25,725}{122,5}=0,21\left(mol\right)\)
Gọi số mol KClO3 pư là a
=> (0,21-a).122,5 + 74,5a = 16,125
=> a = 0,2 (mol)
=> nO2 = 0,3 (mol)
=> VO2 = 0,3.22,4 = 6,72(l)