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- Xét A:
Giả sử \(m_{SO_2}=m_{CH_4}=16\left(g\right)\)
\(n_{SO_2}=\dfrac{16}{64}=0,25\left(mol\right);n_{CH_4}=\dfrac{16}{16}=1\left(mol\right)\)
\(\overline{M}_A=\dfrac{16+16}{0,25+1}=25,6\left(g/mol\right)\)
- Xét B:
Do \(V_{Cl_2}=V_{O_2}\Rightarrow n_{Cl_2}=n_{O_2}\)
Giả sử \(n_{Cl_2}=n_{O_2}=1\left(mol\right)\)
\(\overline{M}_B=\dfrac{1.71+1.32}{1+1}=51,5\left(g/mol\right)\)
\(d_{A/B}=\dfrac{25,6}{51,5}\approx0,497\)
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a. Gọi x, y lần lượt là số mol của CH4 và CO2
Ta có: \(n_A=\dfrac{8,96}{22,4}=0,4\left(mol\right)\)
Theo đề, ta có:
- x + y = 0,4 (1)
- 16x + 44y = 9,2 (2)
Từ (1) và (2), ta có HPT:
\(\left\{{}\begin{matrix}x+y=0,4\\16x+44y=9,2\end{matrix}\right.\)
Giải ra, ta được:
x = 0,3, y = 0,1
=> \(m_{CH_4}=0,3.16=4,8\left(g\right);m_{CO_2}=0,1.44=4,4\left(g\right)\)
b. Ta có: \(\overline{M_A}=\dfrac{4,8+4,4}{0,3+0,1}=23\left(g\right)\)
=> \(d_{\dfrac{A}{O_2}}=\dfrac{\overline{M_A}}{M_{O_2}}=\dfrac{23}{32}=0,71875\left(lần\right)\)
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a) Ta có: \(\overline{M}=12\cdot2=24\)
Theo phương pháp đường chéo: \(n_{CH_4}=n_{O_2}\) \(\Rightarrow\%V_{CH_4}=\%V_{O_2}=50\%\)
Giả sử \(n_{O_2}=n_{CH_4}=1\left(mol\right)\) \(\Rightarrow\left\{{}\begin{matrix}\%m_{O_2}=\dfrac{32}{32+16}\cdot100\%\approx66,67\%\\\%m_{CH_4}=33,33\%\end{matrix}\right.\)
b) Ta có: \(n_{O_2}=n_{CH_4}=\dfrac{\dfrac{16,8}{22,4}}{2}=0,375\left(mol\right)\)
PTHH: \(CH_4+3O_2\xrightarrow[]{t^o}CO_2+2H_2O\)
Theo PTHH: \(n_{CO_2}=n_{CH_4}=0,375\left(mol\right)\)
\(\Rightarrow d_{hh/CH_4}=\dfrac{44\cdot0,375+32\cdot0,375}{16}=1,78125\)
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a) \(n_{CH_4}=\dfrac{1,12}{22,4}=0,05\left(mol\right)\)
\(n_{CO_2}=\dfrac{6,72}{22,4}=0,3\left(mol\right)\)
PTHH: CH4 + 2O2 --to--> CO2 + 2H2O
0,05-->0,1------->0,05
2C2H2 + 5O2 --to--> 4CO2 + 2H2O
0,125<--0,3125<----0,25
=> \(\left\{{}\begin{matrix}\%V_{CH_4}=\dfrac{0,05}{0,05+0,125}.100\%=28,57\%\\\%V_{C_2H_2}=\dfrac{0,125}{0,05+0,125}.100\%=71,43\%\end{matrix}\right.\)
\(\left\{{}\begin{matrix}\%m_{CH_4}=\dfrac{0,05.16}{0,05.16+0,125.26}.100\%=19,753\%\\\%m_{C_2H_2}=\dfrac{0,125.26}{0,05.16+0,125.26}.100\%=80,247\%\end{matrix}\right.\)
b) \(n_{O_2}=0,1+0,3125=0,4125\left(mol\right)\)
=> \(V_{O_2}=0,4125.22,4=9,24\left(l\right)\)
=> Vkk = 9,24.5 = 46,2 (l)
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\(n_{hh}=\dfrac{13,44}{22,4}=0,6mol\)
\(\overline{M_x}=24.2=48\)
\(\left\{{}\begin{matrix}SO_2:64\\O_2:32\end{matrix}\right.\) 48 = \(\dfrac{16}{16}=1\)
\(\Rightarrow n_{SO_2=}n_{O_2}=0,3mol\)
1. \(m_{hh}=0,3.64+0,3.32=28,8g\)
2. \(\%V_{SO_2}=\dfrac{0,3.22,4}{13,44}.100\%=50\%\)
\(\Rightarrow\%V_{O_2}=50\%\)
3. \(m_{SO_2}=0,3.64=19,2g\)
\(m_{O_2}=0,3.32=9,6g\)
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a) \(n_X=\dfrac{6.10^{23}}{6.10^{23}}=1\left(mol\right)\)
=> \(n_Y=0,5\left(mol\right)\)
Gọi số mol NO2, CH4 là a, b
=> a + b = 0,5
Có: \(\dfrac{46a+16b+0,5.M_Y}{1}=15.2\)
=> 46a + 16b + 0,5.MY = 30
Có: \(\dfrac{16b}{46a+16b+0,5.M_Y}.100\%=16\%\)
=> b = 0,3 (mol)
=> a = 0,2 (mol)
=> MY = 32(g/mol)
Mà Y là đơn chất
=> Y là O2
b) \(n_{CH_4}=\dfrac{6,72}{22,4}=0,3\left(mol\right)\)
PTHH: CH4 + 2O2 --to--> CO2 + 2H2O
Xét tỉ lệ: \(\dfrac{0,3}{1}>\dfrac{0,5}{2}\)=> CH4 dư, O2 hết
=> Lượng O2 trong hỗn hợp trên không đủ để đốt cháy 6,72 lít CH4
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Giả sử các khí được đo ở điều kiện sao cho 1 mol khí chiếm thể tích 1 lít
Gọi số mol CH4, C2H6 là a, b (mol)
=> \(a+b=\dfrac{25}{1}=25\left(mol\right)\) (1)
\(n_{O_2}=\dfrac{95}{1}=95\left(mol\right)\)
PTHH: CH4 + 2O2 --to--> CO2 + 2H2O
a---->2a---------->a
2C2H6 + 7O2 --to--> 4CO2 + 6H2O
b------>3,5b-------->2b
=> \(\left\{{}\begin{matrix}n_{O_2\left(dư\right)}=95-2a-3,5b\left(mol\right)\\n_{CO_2}=a+2b\left(mol\right)\end{matrix}\right.\)
=> \(95-a-1,5b=\dfrac{60}{1}=60\)
=> a + 1,5b = 35 (2)
(1)(2) => a = 5; b = 20
=> \(\left\{{}\begin{matrix}\%V_{CH_4}=\dfrac{5}{25}.100\%=20\%\\\%V_{C_2H_6}=\dfrac{20}{25}.100\%=80\%\end{matrix}\right.\)
\(\overline{M}_A=\dfrac{5.16+20.30}{5+20}=27,2\left(g/mol\right)\)
\(\overline{M}_B=20,5.2=41\left(g/mol\right)\)
=> \(d_{A/B}=\dfrac{27,2}{41}\approx0,663\)
Sửa đề thành H2 nhé!
\(n_{SO_2}=x;n_{O_2}=y\\ V_{CH_4}=V_{O_2}\Rightarrow n_{CH_4}=n_{O_2}=y\)
Theo đề bài ta có:
\(d_{A/H}=\frac{M_A}{M_{H_2}}=16\Leftrightarrow M_A=16.2=32\)
\(\Rightarrow\sum_m=\overline{A}.\sum_n=32.\left(x+2y\right)\left(1\right)\)
\(\sum_V=22,4\left(x+2y\right)\left(l\right)\)
\(\sum_m=64x+32y+18y=64x+50y\left(2\right)\)
\(\left(1\right);\left(2\right)\Rightarrow32x+64y=64x+50y\\ \Leftrightarrow\frac{x}{y}=\frac{7}{16}\Rightarrow\left\{{}\begin{matrix}x=7\\y=16\end{matrix}\right.\)
\(\%V_{SO_2}=\frac{22,4x}{22,4\left(x+2y\right)}.100\%=\frac{x}{x+2y}.100\%=\frac{7}{7+16.2}.100\%=17,94\left(\%\right)\)
\(\%V_{O_2}=\%V_{CH_4}=\frac{22,4y}{22,4\left(x+2y\right)}.100\%=\frac{y}{x+2y}.100\%=\frac{16}{7+16.2}.100\%=41,03\left(\%\right)\)
\(\%m_{SO_2}=\frac{64x}{64x+50y}.100\%=\frac{64.7}{64.7+50.16}.100\%=35,9\left(\%\right)\)
\(\%m_{O_2}=\frac{32y}{64x+50y}.100\%=\frac{32.16}{64.7+50.16}.100\%=41,03\left(\%\right)\)
\(\%m_{SO_2}=\frac{18y}{64x+50y}.100\%=\frac{18.16}{64.7+50.16}.100\%=23,07\left(\%\right)\)