Nung 44,1 gam KCLO3 thu được 6,72 lít O2(đktc).Xác định % khối lượng bã rắn sau khi nung,biết KCLO3 bị nhiệt phân hoàn toàn.
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a, PTHH: 2KClO3 --to--> 2KCl + 3O2
b, \(n_{O_2}=\dfrac{53,76}{22,4}=2,4\left(mol\right)\\ n_{O_2}=2,4.32=76,8\left(g\right)\)
Bảo toàn khối lượng: \(m_{KClO_3}=76,8+168,2=245\left(g\right)\)
c, Theo pthh: \(n_{KClO_3\left(pư\right)}=\dfrac{2}{3}n_{O_2}=\dfrac{2}{3}.2,4=1,6\left(mol\right)\\ \Rightarrow\%m_{KClO_3\left(phân.huỷ\right)}=\dfrac{1,6.122,5}{245}=80\%\)
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)
=> \(\left\{{}\begin{matrix}\%m_{KClO_3}=\dfrac{0,2.122,5}{0,2.122,5+0,1.158}.100\%=60,8\%\\\%m_{KMnO_4}=\dfrac{0,1.158}{0,2.122,5+0,1.158}.100\%=39,2\%\end{matrix}\right.\)
\(n_{Al}=\dfrac{1,728}{27}=0,064\left(mol\right)\)
PTHH: 4Al + 3O2 --to--> 2Al2O3
____0,064->0,048
=> mO2 = 0,048.32 = 1,536 (g)
\(m_B=\dfrac{0,894.100}{8,127}=11\left(g\right)\)
Theo ĐLBTKL: mA = mB + mO2
=> mA = 11 + 1,536 = 12,536 (g)
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)
2KClO3 -to--> 2KCl + 3O2
nO2 = 6,72 / 22,4 = 0,3 ( mol )
nKClO3 = 2/3 . nO2 = 0,2 ( mol )
=> m = 0,2 . 122,5 . \(\dfrac{100}{70}\) = 35 ( g )
a)
\(2KMnO_4\xrightarrow[]{t^o}K_2MnO_4+MnO_2+O_2\) (1)
\(2KClO_3\xrightarrow[]{t^o}2KCl+3O_2\) (2)
\(n_{KCl}=\dfrac{0,894}{74,5}=0,012\left(mol\right);m_B=\dfrac{0,894}{8,132\%}=11\left(g\right)\)
Gọi \(n_{O_2\left(sinh.ra\right)}=a\left(mol\right)\Rightarrow n_{kk}=3a\left(mol\right)\)
\(\Rightarrow\left\{{}\begin{matrix}n_{N_2}=3a.80\%=2,4a\left(mol\right)\\n_{O_2}=a+\left(3a-2,4a\right)=1,6a\left(mol\right)\end{matrix}\right.\)
\(n_C=\dfrac{0,528}{12}=0,044\left(mol\right)\)
\(C+O_2\xrightarrow[]{t^o}CO_2\) (3)
Vì hỗn hợp D gồm 3 khí và O2 chiếm 17,083%
\(\Rightarrow D:CO_2,O_{2\left(d\text{ư}\right)},N_2\)
BTNT C: \(n_{CO_2}=n_C=0,044\left(mol\right)\)
BTNT O: \(n_{O_2\left(d\text{ư}\right)}=n_{O_2\left(b\text{đ}\right)}-n_{CO_2}=1,6a-0,044\left(mol\right)\)
\(\Rightarrow\%V_{O_2}=\%n_{O_2}=\dfrac{1,6a-0,044}{1,6a-0,044+0,044+2,4a}.100\%=17,083\%\)
\(\Leftrightarrow a=0,048\left(mol\right)\left(TM\right)\)
ĐLBTKL: \(m_A=m_B+m_{O_2}=11+0,048.32=12,536\left(g\right)\)
Theo PT (2): \(n_{KClO_3}=n_{KCl}=0,012\left(mol\right)\)
\(\Rightarrow\left\{{}\begin{matrix}\%m_{KClO_3}=\dfrac{0,012.122,5}{12,536}.100\%=11,63\%\\\%m_{KMnO_4}=100\%-11,63\%=88,37\%\end{matrix}\right.\)
b) Theo PT (2): \(n_{O_2}=\dfrac{1}{2}n_{KMnO_4\left(p\text{ư}\right)}+\dfrac{3}{2}n_{KClO_3}\)
\(\Rightarrow n_{KMnO_4\left(p\text{ư}\right)}=2.\left(0,048-\dfrac{3}{2}.0,012\right)=0,06\left(mol\right)\)
\(n_{KMnO_4\left(b\text{đ}\right)}=\dfrac{12,536-0,012.122,5}{158}=0,07\left(mol\right)\)
\(\Rightarrow n_{KMnO_4\left(d\text{ư}\right)}=0,07-0,06=0,01\left(mol\right)\)
\(n_{KCl}=\dfrac{74,5}{74,5}+0,012=1,012\left(mol\right)\)
Theo PT (1): \(n_{K_2MnO_4}=n_{MnO_2}=\dfrac{1}{2}.n_{KMnO_4\left(p\text{ư}\right)}=0,03\left(mol\right)\)
PTHH:
\(2KMnO_4+10KCl+8H_2SO_4\rightarrow6K_2SO_4+2MnSO_4+5Cl_2+8H_2O\) (4)
\(K_2MnO_4+4KCl+4H_2SO_4\rightarrow3K_2SO_4+MnSO_4+2Cl_2+4H_2O\) (5)
\(MnO_2+2KCl+2H_2SO_4\rightarrow MnSO_4+K_2SO_4+Cl_2+2H_2O\) (6)
\(2KCl+H_2SO_4\xrightarrow[]{t^o}K_2SO_4+2HCl\) (7)
Theo PT (4), (5), (6): \(n_{KCl\left(p\text{ư}\right)}=5n_{KMnO_4\left(d\text{ư}\right)}+4n_{K_2MnO_4}+2n_{MnO_2}=0,23\left(mol\right)< 1,012\left(mol\right)=n_{KCl\left(b\text{đ}\right)}\)
`=> KCl` dư
Theo PT (4), (5), (6): \(n_{Cl_2}=\dfrac{1}{2}.n_{KCl\left(p\text{ư}\right)}=0,115\left(mol\right)\)
\(\Rightarrow V_{kh\text{í}}=V_{Cl_2}=0,115.22,4=2,576\left(l\right)\)
2KClO3 => 2KCl + 3O2
nO2 = 0,3 => mO2 = 9,6 (g)
=> m chất rắn = 44,1-9,6= 34,5(g)