Câu 20. Đốt cháy hoàn toàn 12,9g hỗn hợp A gồm Zn và Cu trong bình chứa 2,24 lít khí oxi (đktc). Tính % khối lượng mỗi chất trong hỗn hợp A
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a, \(CH_4+2O_2\underrightarrow{t^o}CO_2+2H_2O\)
\(2C_2H_2+5O_2\underrightarrow{t^o}4CO_2+2H_2O\)
Ta có: \(n_{CH_4}+n_{C_2H_2}=\dfrac{6,72}{22,4}=0,3\left(mol\right)\left(1\right)\)
\(n_{CO_2}=n_{CH_4}+2n_{C_2H_2}=\dfrac{7,84}{22,4}=0,35\left(mol\right)\left(2\right)\)
Từ (1) và (2) \(\Rightarrow\left\{{}\begin{matrix}n_{CH_4}=0,25\left(mol\right)\\n_{C_2H_2}=0,05\left(mol\right)\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}\%V_{CH_4}=\dfrac{0,25.22,4}{6,72}.100\%\approx83,33\%\\\%V_{C_2H_2}\approx16,67\%\end{matrix}\right.\)
Theo PT: \(n_{O_2}=2n_{CH_4}+\dfrac{5}{2}n_{C_2H_2}=0,625\left(mol\right)\Rightarrow m_{O_2}=0,625.32=20\left(g\right)\)
a, \(CH_4+2O_2\underrightarrow{t^o}CO_2+H_2O\)
\(2C_2H_2+5O_2\underrightarrow{t^o}4CO_2+2H_2O\)
Ta có: \(n_{CH_4}+n_{C_2H_2}=\dfrac{33,6}{22,4}=1,5\left(mol\right)\left(1\right)\)
Theo PT: \(n_{CO_2}=n_{CH_4}+2n_{C_2H_2}=\dfrac{56}{22,4}=2,5\left(mol\right)\left(2\right)\)
Từ (1) và (2) \(\Rightarrow\left\{{}\begin{matrix}n_{CH_4}=0,5\left(mol\right)\\n_{C_2H_2}=1\left(mol\right)\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}\%V_{CH_4}=\dfrac{0,5.22,4}{33,6}.100\%\approx33,33\%\\\%V_{C_2H_2}\approx66,67\%\end{matrix}\right.\)
b, Theo PT: \(n_{O_2}=2n_{CH_4}+\dfrac{5}{2}n_{C_2H_2}=3,5\left(mol\right)\Rightarrow m_{O_2}=3,5.32=112\left(g\right)\)
Gọi số mol C, S là a, b
=> 12a + 32b = 7,68
PTHH: C + O2 --to--> CO2
_____a--------------->a
S + O2 --to--> SO2
b--------------->b
=> a + b = \(\dfrac{9,856}{22,4}=0,44\)
=> a = 0,32; b = 0,12
=> \(\left\{{}\begin{matrix}\%C=\dfrac{0,32.12}{7,68}.100\%=50\%\\\%S=\dfrac{0,12.32}{7,68}.100\%=50\%\end{matrix}\right.\)
\(n_{H2}=\dfrac{3,36}{22,4}=0,15\left(mol\right)\)
Pt : \(2Zn+O_2\underrightarrow{t^o}2ZnO|\)
2 1 2
a 0,5b 0,2
\(2Mg+O_2\underrightarrow{t^o}2MgO|\)
2 1 2
b 0,5b 0,1
a) Gọi a là số mol của Zn
b là số mol của Mg
\(m_{Zn}+m_{Mg}=15,4\left(g\right)\)
⇒ \(n_{Zn}.M_{Zn}+n_{Mg}.M_{Mg}=15,4g\)
⇒ 65a + 24b = 15,4g (1)
Theo phương trình : 0,5a + 0,5b = 0,15 (2)
65a + 24b = 15,4g
0,5a + 0,5b = 0,15
⇒ \(\left\{{}\begin{matrix}a=0,2\\b=0,1\end{matrix}\right.\)
\(m_{Zn}=0,2.65=13\left(g\right)\)
\(m_{Mg}=01.24=2,4\left(g\right)\)
b) Có : \(n_{ZnO}=\dfrac{0,2.2}{2}=0,2\left(mol\right)\)
⇒ \(m_{ZnO}=0,2.81=16,2\left(g\right)\)
\(n_{MgO}=\dfrac{0,1.2}{2}=0,1\left(mol\right)\)
⇒ \(m_{MgO}=0,1.40=4\left(g\right)\)
Chúc bạn học tốt
Mình xin lỗi bạn nhé , bạn sửa chỗ ' nH2 ' thành ' nO2 ' giúp mình
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: \(n_{O_2}=\dfrac{V}{22,4}=\dfrac{12,32}{22,4}=0,55\left(mol\right)\)
\(\Rightarrow0,75x+\dfrac{2}{3}y=0,55\left(2\right)\)
\(\xrightarrow[\left(1\right)]{\left(2\right)}\left\{{}\begin{matrix}27x+56y=39\\0,75x+\dfrac{2}{3}y=0,55\end{matrix}\right.\\ \Leftrightarrow\left\{{}\begin{matrix}x=0,2\\y=0,6\end{matrix}\right.\\ \Rightarrow\left\{{}\begin{matrix}m_{Al}=0,2.27=5,4\left(g\right)\\m_{Fe}=0,6.56=33,6\left(g\right)\end{matrix}\right.\\ m_r=m_{Al_2O_3}+m_{Fe_3O_4}=0,5.0,2.102+\dfrac{1}{3}.0,6.232=56,6\left(g\right)\)
Gọi x, y lần lượt là số mol của Cu và Fe.
Ta có: \(n_{O_2}=\dfrac{6,72}{22,4}=0,3\left(mol\right)\)
a. PTHH: 2Cu + O2 ---to---> 2CuO (1)
3Fe + 2O2 ---to---> Fe3O4 (2)
Ta có: \(n_{CuO}=\dfrac{16}{80}=0,2\left(mol\right)\)
Theo PT(1): \(n_{Cu}=n_{CuO}=0,2\left(mol\right)\)
Theo PT(1): \(n_{O_2}=\dfrac{1}{2}.n_{Cu}=\dfrac{1}{2}x\left(mol\right)\)
Theo PT(2): \(n_{O_2}=\dfrac{2}{3}.n_{Fe}=\dfrac{2}{3}y\left(mol\right)\)
=> \(\dfrac{1}{2}x+\dfrac{2}{3}y=0,3\)
Mà nCu = 0,2(mol)
Thay vào, ta được: \(\dfrac{1}{2}.0,2+\dfrac{2}{3}y=0,3\)
=> y = 0,3(mol)
=> \(m_{Cu}=0,2.64=12,8\left(g\right)\)
\(m_{Fe}=0,3.56=16,8\left(g\right)\)
b. \(\%_{Cu}=\dfrac{12,8}{12,8+16,8}.100\%=43,24\%\)
\(\%_{Fe}=100\%-43,24\%=56,76\%\)
Câu 20:
Gọi: \(\left\{{}\begin{matrix}n_{Zn}=x\left(mol\right)\\n_{Cu}=y\left(mol\right)\end{matrix}\right.\) ⇒ 65x + 64y = 12,9 (1)
PT: \(2Zn+O_2\underrightarrow{t^o}2ZnO\)
\(2Cu+O_2\underrightarrow{t^o}2CuO\)
THeo PT: \(n_{O_2}=\dfrac{1}{2}n_{Zn}+\dfrac{1}{2}n_{Cu}=\dfrac{1}{2}x+\dfrac{1}{2}y=\dfrac{2,24}{22,4}=0,1\left(mol\left(2\right)\right)\)
Từ (1) và (2) ⇒ x = y = 0,1 (mol)
\(\Rightarrow\left\{{}\begin{matrix}\%m_{Zn}=\dfrac{0,1.65}{12,9}.100\%\approx50,39\%\\\%m_{Cu}\approx49,61\%\end{matrix}\right.\)