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PTHH: \(C+O_2\xrightarrow[]{t^o}CO_2\)
a___a______a (mol)
\(S+O_2\xrightarrow[]{t^o}SO_2\)
b___b_______b (mol)
Ta lập HPT: \(\left\{{}\begin{matrix}12a+32b=10\\a+b=\dfrac{11,2}{22,4}=0,5\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}a=0,3\\b=0,2\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}m_C=0,3\cdot12=3,6\left(g\right)\\m_S=6,4\left(g\right)\\V_{khí}=0,5\cdot22,4=11,2\left(l\right)\end{matrix}\right.\)
Gọi nCH4=a mol nH2=b mol
nhh khí=a+b=11,2/22,4=0,5
CH4 +2O2=>CO2 +2H2O
a mol =>2a mol
2H2+ O2 =>2H2O
b mol =>b mol
nH2O=2a+b=16,2/18=0,9 mol
=>a=0,4 và b=0,1 mol
%VCH4 trong hh bđ=0,4/0,5.100%=80%
%VH2=20%
a) PTHH: \(CH_4+O_2\) \(\underrightarrow{t^o}\) \(CO_2+2H_2O\)
\(2H_2+O_2\) \(\underrightarrow{t^o}\) \(2H_2O\)
b) \(n_{h_2khí}=\frac{11,2}{22,4}=0,5\left(mol\right)\)
\(n_{H_2O}=\frac{16,2}{18}=0,9\left(mol\right)\)
Gọi số mol của \(CH_4;H_2\) trong hỗn hợp đầu lần lượt là x, y (mol).
ĐK: \(0< x;y< 0,5\) \(\Rightarrow x+y=0,5\)
Theo PTHH ta có:\(n_{H_2O}=2x+y\Rightarrow\)Theo bài ra ta có hệ phương trình:
\(\begin{cases}x+y=0,5\\2x+y=0,9\end{cases}\)
\(\Rightarrow\begin{cases}2x+2y=1\\2x+y=0,9\end{cases}\)
\(\Rightarrow\begin{cases}x=0,4\\y=0,1\end{cases}\)
\(V_{CH_4}=0,4.22,4=8,96\left(lít\right)\)
\(V_{H_2}=0,1.22,4=2,24\left(lít\right)\)
\(\%CH_4=\frac{8,96}{11,2}.100\%=80\%\)
\(\%H_2=\frac{2,24}{11,2}.100\%=20\%\)
Đặt \(\left\{{}\begin{matrix}n_{Mg}=x\left(mol\right)\\n_{Fe}=y\left(mol\right)\end{matrix}\right.\)
Theo đề: \(m_{hh}=36\left(g\right)\)
\(\Rightarrow m_{Mg}+m_{Fe}=36\\ \Rightarrow24x+56y=36\left(1\right)\)
\(PTHH:2Mg+O_2\underrightarrow{t^o}2MgO\\ \left(mol\right)....x\rightarrow...0,5x.....x\\ PTHH:3Fe+2O_2\underrightarrow{t^o}Fe_3O_4\\ \left(mol\right)....y\rightarrow...\dfrac{2}{3}y....\dfrac{1}{3}y\)
Theo đề: \(n_{O_2}=\dfrac{13,44}{22,4}=0,6\left(mol\right)\)
\(\Rightarrow0,5x+\dfrac{2}{3}y=0,6\left(2\right)\)
\(\xrightarrow[\left(2\right)]{\left(1\right)}\left\{{}\begin{matrix}24x+56y=36\\0,5x+\dfrac{2}{3}y=0,6\end{matrix}\right.\\ \Leftrightarrow\left\{{}\begin{matrix}x=0,8\\y=0,3\end{matrix}\right.\\ \Rightarrow\left\{{}\begin{matrix}m_{Mg}=0,8.24=19,2\left(g\right)\\m_{Fe}=0,3.56=16,8\left(g\right)\end{matrix}\right.\\ m_r=m_{MgO}+m_{Fe_3O_4}=0,8.40+\dfrac{1}{3}.0,3.232=55,2\left(g\right)\)
PTHH: C+O2→CO20,3mol:0,3mol→0,3molC+O2→CO20,3mol:0,3mol→0,3mol
S+O2→SO20,2mol:0,2mol→0,2molS+O2→SO20,2mol:0,2mol→0,2mol
mC=36%10100%=3,6(g)⇔nC=3,612=0,3(mol)mC=36%10100%=3,6(g)⇔nC=3,612=0,3(mol)
mS=10−3,6=6,4(g)⇔nS=6,432=0,2(mol)mS=10−3,6=6,4(g)⇔nS=6,432=0,2(mol)
VO2=(0,3+0,2)22,4=11,2(l)VO2=(0,3+0,2)22,4=11,2(l)
mhh=mCO2+mSO2=0,3.44+0,2.64=26(g)
Đặt \(\left\{{}\begin{matrix}n_{Al}=x\left(mol\right)\\n_{Fe}=y\left(mol\right)\end{matrix}\right.\)
Theo đề: \(m_{hh}=39\left(g\right)\)
\(\Rightarrow m_{Al}+m_{Fe}=39\\ \Rightarrow27x+56y=39\left(1\right)\)
\(PTHH:4Al+3O_2\underrightarrow{t^o}2Al_2O_3\\ \left(mol\right)....x\rightarrow..0.75x....0,5x\\ PTHH:3Fe+2O_2\underrightarrow{t^o}Fe_3O_4\\ \left(mol\right)....y\rightarrow..\dfrac{2}{3}y.....\dfrac{1}{3}y\)
Theo đề: \(n_{O_2}=\dfrac{V}{22,4}=\dfrac{12,32}{22,4}=0,55\left(mol\right)\)
\(\Rightarrow0,75x+\dfrac{2}{3}y=0,55\left(2\right)\)
\(\xrightarrow[\left(1\right)]{\left(2\right)}\left\{{}\begin{matrix}27x+56y=39\\0,75x+\dfrac{2}{3}y=0,55\end{matrix}\right.\\ \Leftrightarrow\left\{{}\begin{matrix}x=0,2\\y=0,6\end{matrix}\right.\\ \Rightarrow\left\{{}\begin{matrix}m_{Al}=0,2.27=5,4\left(g\right)\\m_{Fe}=0,6.56=33,6\left(g\right)\end{matrix}\right.\\ m_r=m_{Al_2O_3}+m_{Fe_3O_4}=0,5.0,2.102+\dfrac{1}{3}.0,6.232=56,6\left(g\right)\)
a. \(CH_4+2O_2\underrightarrow{t^o}CO_2+2H_2O\)
a 2a a
\(C_2H_4+3O_2\underrightarrow{t^o}2CO_2+2H_2O\)
b 3b 2b
b. \(n_{O_2}=\dfrac{25.88}{22.4}=1.155mol\)
n hỗn hợp khí \(=\dfrac{11.2}{22.4}=0.5mol\)
Ta có: \(\left\{{}\begin{matrix}a+b=0.5\\2a+3b=1.155\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0.345\\b=0.155\end{matrix}\right.\)
\(\%V_{CH_4}=\dfrac{0.345\times22.4\times100}{11.2}=69\%\)
\(\%V_{C_2H_4}=100-69=31\%\)
c. \(V_{CO_2}=\left(a+2b\right)\times22.4=\left(0.345+2\times0.155\right)\times22.4=14.672l\)
a, \(Zn+2CH_3COOH\rightarrow\left(CH_3COO\right)_2Zn+H_2\)
\(ZnO+2CH_3COOH\rightarrow\left(CH_3COO\right)_2Zn+H_2O\)
b, Ta có: \(n_{H_2}=\dfrac{2,24}{22,4}=0,1\left(mol\right)\)
Theo PT: \(n_{Zn}=n_{H_2}=0,1\left(mol\right)\)
\(\Rightarrow\left\{{}\begin{matrix}\%m_{Zn}=\dfrac{0,1.65}{14,6}.100\%\approx44,52\%\\\%m_{ZnO}\approx55,48\%\end{matrix}\right.\)
c, Ta có: \(n_{ZnO}=\dfrac{14,6-0,1.65}{81}=0,1\left(mol\right)\)
Theo PT: \(n_{CH_3COOH}=2n_{Zn}+2n_{ZnO}=0,4\left(mol\right)\)
PT: \(C_2H_5OH+O_2\underrightarrow{^{mengiam}}CH_3COOH+H_2O\)
Theo PT: \(n_{C_2H_5OH\left(LT\right)}=n_{CH_3COOH}=0,4\left(mol\right)\)
Mà: H = 80%
\(\Rightarrow n_{C_2H_5OH\left(TT\right)}=\dfrac{0,4}{80\%}=0,5\left(mol\right)\)
\(\Rightarrow m_{C_2H_5OH\left(TT\right)}=0,5.46=23\left(g\right)\)
\(\Rightarrow V_{C_2H_5OH}=\dfrac{23}{0,8}=28,75\left(ml\right)\)
\(\Rightarrow V_{C_2H_5OH\left(18,4^o\right)}=\dfrac{28,75}{18,4}.100=156,25\left(ml\right)=0,15625\left(l\right)\)
a, \(C+O_2\underrightarrow{t^o}CO_2\)
\(S+O_2\underrightarrow{t^o}SO_2\)
b, Ta có: 12nC + 32nS = 2,8 (1)
Theo PT: \(n_{O_2}=n_C+n_S=\dfrac{3,36}{22,4}=0,15\left(mol\right)\left(2\right)\)
Từ (1) và (2) \(\Rightarrow\left\{{}\begin{matrix}n_C=0,1\left(mol\right)\\n_S=0,05\left(mol\right)\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}\%m_C=\dfrac{0,1.12}{2,8}.100\%\approx42,86\%\\\%m_S\approx57,14\%\end{matrix}\right.\)
a: \(C+O_2\rightarrow CO_2\)(ĐK: t độ)
x x x
\(S+O_2\rightarrow SO_2\)(ĐK: t độ)
y y y
b: \(n_{O_2}=\dfrac{11.2}{22.4}=0.5\left(mol\right)\)
Theo đề, ta có hệ:
12x+32y=10 và x+y=0,5
=>x=0,3 và y=0,2
\(m_C=0.3\cdot12=3.6\left(g\right)\)
\(m_S=0.2\cdot32=6.4\left(g\right)\)
c: \(n_{CO_2}=n_C=0.3\left(mol\right)\)
\(n_{SO_2}=n_S=0.2\left(mol\right)\)
\(V_{khí}=22.4\left(0.3+0.2\right)=11.2\left(lít\right)\)
\(n_{O_2}=\dfrac{11,2}{22,4}=0,5\left(mol\right)\)
PTHH :
\(C+O_2\rightarrow\left(t^o\right)CO_2\)
x x x
\(S+O_2\rightarrow\left(t^o\right)SO_2\)
y y y
Gọi n C = x
n S = y (mol)
Ta có hệ PT :
\(\left\{{}\begin{matrix}12x+32y=10\\x+y=0,5\end{matrix}\right.\)
\(\rightarrow x=0,3;y=0,2\)
\(m_C=0,3.12=3,6\left(g\right)\)
\(m_S=0,2.32=6,4\left(g\right)\)
\(c,V_{hhk}=\left(0,3+0,2\right).22,4=11,2\left(l\right)\)