Nung 15,8g KMnO4 thu được 0,784 lít O2 ở đktc. Xác định hiệu suất phản ứng nhiệt phân và số mol mỗi chất rắn sau phản ứng?
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nKMnO4 = \(\frac{m}{M}=\frac{15,8}{158}=0,1\left(mol\right)\)
nO2 = \(\frac{V\left(\text{đ}kc\right)}{22,4}=\frac{0,784}{22,4}=0,035\left(mol\right)\)
PTPU : 2KMnO4 \(\rightarrow\) O2\(\uparrow\) + K2MnO4 + MnO2
PU : 0,1 _______ 0,035___ ________________ (mol)
nO2 = 6.72/22.4 = 0.3 (mol)
BTKL :
mKMnO4 = 116.8 + 0.3*32 = 126.4 (g)
nKMnO4 = 126.4/158 = 0.8 (mol)
2KMnO4 -to-> K2MnO4 + MnO2 + O2
0.6_________________________0.3
H% = 0.6/0.8 * 100% = 75%
$PTHH : 2KMnO_4 \xrightarrow[]{t^o} K_2MnO_4+MnO_2+O_2 \\ n_{O_2} = \dfrac{1,68}{22,4} = 0,075(mol) \\ n_{KMnO_4} = 2n_{O_2} = 0,15(mol) \\ m_{KMnO_4} = 0,15.158 = 23,7(gam) $
H% =( 23,7 : 31,6).100 = 75%
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)
$m_B = 63,2 - 0,15.32 = 58,4(gam)$
$\%m_{K_2MnO_4} = \dfrac{0,15.197}{58,4}.100\% = 50,59\%$
$\%m_{MnO_2} = \dfrac{0,15.87}{58,4}.100\% = 22,35\%$
$\%m_{KMnO_4\ dư} = 100\% -50,59\% -22,35\% = 27,06\%$
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)\(m_{O_2}=0,15\cdot32=4,8g\)
\(\%m_{K_2MnO_4}=\dfrac{29,55}{42,6}\cdot100\%=69,37\%\)
\(\%m_{MnO_2}=100\%-69,37\%=30,63\%\)
\(n_{KMnO_4}=\dfrac{79}{158}=0,5mol\)
\(2KMnO_4\underrightarrow{t^o}K_2MnO_4+MnO_2+O_2\)
0,5 0,25
\(H=80\%\Rightarrow n_{O_2}=0,25\cdot80\%=0,2mol\)
\(\Rightarrow V=0,2\cdot22,4=4,48l\)
\(a)n_{KMnO_4} = a; n_{KClO_3} = b\Rightarrow 158a + 122,5b = 99,95(1)\\ 2KMnO_4 \xrightarrow{t^o} K_2MnO_4 + MnO_2 + O_2\\ 2KClO_3 \xrightarrow{t^o} 2KCl + 3O_2\\ n_{O_2} = 0,5a +1,5b = \dfrac{14,56}{22,4}=0,65(2)\\ (1)(2)\Rightarrow a = 0,4 ; b = 0,3\\ \%m_{KMnO_4} = \dfrac{0,4.158}{99,95}.100\% = 63,23\%\\ \%m_{KClO_3} = 100\%-63,23\% = 36,77\%\)
\(n_{K_2MnO_4} = n_{MnO_2} = 0,5a = 0,2(mol)\\ n_{KClO_3} = b = 0,3(mol)\\ m_{hh\ sau\ pư} = 99,95 - 0,65.32 = 79,15(gam)\\ \%m_{K_2MnO_4} = \dfrac{0,2.197}{79,15}.100\% = 49,78\%\\ \%m_{MnO_2} = \dfrac{0,2.87}{79,15},100\% = 21,98\%\\ \%m_{KCl} = 28,24\%\)