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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: \(\overline{M_A}=\dfrac{4,8+4,4}{0,3+0,1}=23\left(g\right)\)
=> \(d_{\dfrac{A}{O_2}}=\dfrac{\overline{M_A}}{M_{O_2}}=\dfrac{23}{32}=0,71875\left(lần\right)\)
Áp dụng quy tắc đường chéo:
\(a.\\ \Rightarrow\dfrac{V_{Cl_2}}{V_{O_2}}=\dfrac{15,6}{23,4}=\dfrac{2}{3}\\ \Rightarrow\left\{{}\begin{matrix}\%V_{Cl_2}=40\%\\\%V_{O_2}=60\%\end{matrix}\right.\)
\(b.\)
Ta có: \(\dfrac{n_{Cl_2}}{n_{O_2}}=\dfrac{2}{3}\Leftrightarrow\dfrac{m_{Cl_2}}{m_{O_2}}=\dfrac{71.2}{32.3}=\dfrac{71}{48}\Leftrightarrow48m_{Cl_2}-71m_{O_2}=0\)
Mặt khác: \(m_{Cl_2}+m_{O_2}=5,95\)
\(\Rightarrow\left\{{}\begin{matrix}m_{Cl_2}=3,55\left(g\right)\\m_{O_2}=2,4\left(g\right)\end{matrix}\right.\)
nX = 0,672/22,4 = 0,03 (mol)
Gọi nN2 = a (mol); nO2 = b (mol)
a + b = 0,03
28a + 32b = 0,88
=> a = 0,02 (mol); b = 0,01 (mol)
%VN2 = 0,02/0,03 = 66,66%
%VO2 = 100% - 66,66% = 33,34%
M(X) = 0,88/0,03 = 88/3 (g/mol)
nX = 2,2 : 88/3 = 0,075 (mol)
VH2 = VX = 0,075 . 22,4 = 1,68 (l)
a) \(\left\{{}\begin{matrix}n_{Cl_2}+n_{O_2}=\dfrac{6,72}{22,4}=0,3\\\overline{M}=\dfrac{71.n_{Cl_2}+32.n_{O_2}}{n_{Cl_2}+n_{O_2}}=2.29=58\end{matrix}\right.\)
=> \(\left\{{}\begin{matrix}n_{Cl_2}=0,2\left(mol\right)\\n_{O_2}=0,1\left(mol\right)\end{matrix}\right.\)
\(\left\{{}\begin{matrix}\%V_{Cl_2}=\dfrac{0,2}{0,3}.100\%=66,67\%\\\%V_{O_2}=\dfrac{0,1}{0,3}.100\%=33,33\%\end{matrix}\right.\)
b) \(\left\{{}\begin{matrix}m_{Cl_2}=0,2.71=14,2\left(g\right)\\m_{O_2}=0,1.32=3,2\left(g\right)\end{matrix}\right.\)
Gọi số mol O2, CO2 là a, b
Có: \(\overline{M}=\dfrac{32a+44b}{a+b}=19,5.2=39\)
=> \(a=\dfrac{5}{7}b\)
=> \(\left\{{}\begin{matrix}\%V_{O_2}=\dfrac{a}{a+b}.100\%=\dfrac{\dfrac{5}{7}b}{\dfrac{5}{7}b+b}.100\%=41,67\%\\\%V_{CO_2}=\dfrac{b}{a+b}.100\%=\dfrac{b}{\dfrac{5}{7}b+b}.100\%=58,33\%\end{matrix}\right.\)
\(\left\{{}\begin{matrix}\%m_{O_2}=\dfrac{32a}{32a+44b}.100\%=34,188\%\\\%m_{CO_2}=\dfrac{44b}{32a+44b}.100\%=65,812\%\end{matrix}\right.\)
thay a = \(\dfrac{5}{7}b\) thôi bn :)
\(\%m_{O_2}=\dfrac{32a}{32a+44b}.100\%=\dfrac{32.\dfrac{5}{7}b}{32.\dfrac{5}{7}b+44b}.100\%=34,188\%\)
\(a,\left\{{}\begin{matrix}n_{O_2}=1.30\%=0,3\left(mol\right)\\n_{CO_2}=1.20\%=0,2\left(mol\right)\\n_T=1-0,3-0,2=0,5\left(mol\right)\end{matrix}\right.\)
\(b,m_{O_2}=0,3.32=9,6\left(g\right)\)
\(c,m_{hh}=\dfrac{9,6}{49,48\%}=19,4\left(g\right)\\ m_{CO_2}=0,2.44=8,8\left(g\right)\\ \rightarrow m_T=19,4-9,6-8,8=1\left(g\right)\\ \rightarrow M_T=\dfrac{1}{0,5}=2\left(\text{g/mol}\right)\\ \rightarrow T:H_2\)
a. %V (ở cùng điều kiện) cũng là %n
\(Tacó:\%V_T=100-30-20=50\%\\ Trong1molhỗnhợp:\\ n_{O_2}=1.30\%=0,3\left(mol\right)\\ n_{CO_2}=1.20\%=0,2\left(mol\right)\\ n_T=1.50\%=0,5\left(mol\right)\\ b.m_{O_2}=0,3.32=9,6\left(g\right)\\ c.\%m_{O_2}tronghỗnhợplà49,48\%\\ Trong1molhỗnhợp:m_{hh}=\dfrac{9,6}{49,48\%}=19,4\left(g\right)\\ m_{CO_2}=0,2.44=8,8\left(g\right)\\ \Rightarrow m_T=19,4-9,6-8,8=1\left(g\right)\\ \Rightarrow M_T=\dfrac{1}{0,5}=2\\ \Rightarrow TlàH_2\)
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
=> \(\left\{{}\begin{matrix}\%V_{CH_4}=\dfrac{5}{25}.100\%=20\%\\\%V_{C_2H_6}=\dfrac{20}{25}.100\%=80\%\end{matrix}\right.\)
\(\overline{M}_A=\dfrac{5.16+20.30}{5+20}=27,2\left(g/mol\right)\)
\(\overline{M}_B=20,5.2=41\left(g/mol\right)\)
=> \(d_{A/B}=\dfrac{27,2}{41}\approx0,663\)
