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Gọi $n_{KMnO_4} = a(mol) ; n_{KClO_3} = b(mol) \Rightarrow 158a + 122,5b = 49,975(1)$
$2KMnO_4 \xrightarrow{t^o} K_2MnO_4 + MnO_2 + O_2$
$2KClO_3 \xrightarrow{t^o} 2KCl + 3O_2$
$m_{O_2} = m_{giảm} = 4(gam)$
$\Rightarrow n_{O_2} = 0,5a + 1,5b = \dfrac{4}{32} = 0,125(2)$
Từ (1)(2) suy ra a = 0,339 ; b = -0,029 < 0
(Sai đề)
Gọi số mol KMnO4, KClO3 là a, b
=> 158a + 122,5b = 49,975
PTHH: 2KMnO4 --to--> K2MnO4 + MnO2 + O2
_______a----------------------------------->a
2KClO3 --to--> 2KCl + 3O2
_b---------------------->1,5b
mO2 = mgiảm = 10,4
=> \(n_{O_2}=\dfrac{10,4}{32}=0,325\left(mol\right)\)
=> 0,5a + 1,5b = 0,325
=> a = 0,2; b = 0,15
=> \(\left\{{}\begin{matrix}\%KMnO_4=\dfrac{0,2.158}{49,975}.100\%=63,23\%\\\%KClO_3=\dfrac{0,15.122,5}{49,975}.100\%=36,77\%\end{matrix}\right.\)
Gọi số mol KMnO4, KClO3 là a, b
=> 158a + 122,5b = 49,975
PTHH: 2KMnO4 --to--> K2MnO4 + MnO2 + O2
2KClO3 --to--> 2KCl + 3O2
mO2 = mgiảm = 10,4
=> \(n_{O_2}=\dfrac{10,4}{32}=0,325\left(mol\right)\)
=> 0,5a + 1,5b = 0,325
=> a = 0,2; b = 0,15
=> \(\left\{{}\begin{matrix}\%KMnO_4=\dfrac{0,2.158}{49,975}.100\%=63,23\%\\\%KClO_3=\dfrac{0,15.122,5}{49,975}.100\%=36,77\%\end{matrix}\right.\)
Gọi \(n_{CaCO_3}=a\left(mol\right)\) và \(n_{MaCO_3}=b\left(mol\right)\)
PTHH: \(CaCO_3\underrightarrow{t^o}CaO+CO_2\)
\(MgCO_3\underrightarrow{t^o}MgO+CO_2\)
\(\Rightarrow m_{hh}=100a+84b=18,4\)
\(n_{CO_2}=\dfrac{8,8}{44}=0,2\left(mol\right)\Rightarrow a+b=0,2\left(mol\right)\)
\(\Rightarrow a=b=0,1\left(mol\right)\)
\(\Rightarrow m_{CaCO_3}=10g;m_{MgCO_3}=8,4g\)
\(\Rightarrow\%m_{CaCO_3}=\dfrac{100\%.10}{18,4}\approx54\%;\%m_{MgCO_3}=100\%-54\%=46\%\)
\(2KMnO_4\underrightarrow{t^0}K_2MnO_4+MnO_2+O_2\)
\(\dfrac{x}{158}.........\dfrac{x}{158}........\dfrac{x}{158}\)
\(2Cu+O_2\underrightarrow{t^0}2CuO\)
\(\dfrac{y}{64}...........\dfrac{y}{64}\)
\(m_A=m_B\)
\(\Rightarrow x+y=\dfrac{x}{158}\cdot197+\dfrac{x}{158}\cdot87+\dfrac{80y}{64}\)
\(\Rightarrow x+y=\dfrac{142x}{79}+1.25y\)
\(\Rightarrow0.25y=-\dfrac{63}{79}x\)
\(\Rightarrow\dfrac{x}{y}=-\dfrac{79}{252}\)
Gọi số mol CaCO3, MgCO3 là a, b (mol)
=> 100a + 84b = 14,2 (1)
\(n_{CO_2}=\dfrac{6,6}{44}=0,15\left(mol\right)\)
PTHH: CaCO3 --to--> CaO + CO2
a-------------------->a
MgCO3 --to--> MgO + CO2
b---------------------->b
=> a + b = 0,15
=> a = 0,1; b = 0,05
=> \(\left\{{}\begin{matrix}\%m_{CaCO_3}=\dfrac{100.0,1}{14,2}.100\%=70,42\%\\\%m_{MgCO_3}=\dfrac{0,05.84}{14,2}.100\%=29,58\%\end{matrix}\right.\)
\(n_{CO_2}=\dfrac{6,6}{44}=0,15mol\)
\(CaCO_3\underrightarrow{t^o}CO_2+CaO\)
\(x\) \(\rightarrow\) \(x\)
\(MgCO_3\underrightarrow{t^o}MgO+CO_2\)
\(y\) \(\rightarrow\) \(y\)
\(\Rightarrow\left\{{}\begin{matrix}100x+84y=14,2\\x+y=0,15\end{matrix}\right.\Rightarrow\left\{{}\begin{matrix}x=0,1\\y=0,05\end{matrix}\right.\)
\(\%m_{CaCO_3}=\dfrac{0,1\cdot100}{14,2}\cdot100\%=70,42\%\)
\(\%m_{MgCO_3}=100\%-70,42\%=29,57\%\)