a.

\(m_{Al}=0.5\cdot27=13.5\left(g\right)\)

\(m_{CO_2}=\dfrac{6.72}{22.4}\cdot44=13.2\left(g\right)\)

\(m_{N_2}=\dfrac{5.6}{22.4}\cdot28=7\left(g\right)\)

\(m_{CaCO_3}=0.25\cdot100=25\left(g\right)\)

b.

\(m_{hh}=\dfrac{3.36}{22.4}\cdot2+\dfrac{5.6}{22.4}\cdot28+0.2\cdot44=16.1\left(g\right)\)

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: \(n_{O_2}=2n_{CH_4}+\dfrac{5}{2}n_{C_2H_2}=3,5\left(mol\right)\Rightarrow m_{O_2}=3,5.32=112\left(g\right)\)

a.

\(V_{H_2S}=0.75\cdot22.4=16.8\left(l\right)\)

\(V_{SO_2}=\dfrac{12.8}{64}\cdot22.4=4.48\left(l\right)\)

\(V_{O_2}=\dfrac{3.2}{32}\cdot22.4=2.24\left(l\right)\)

b.

\(n_{hh}=\dfrac{22}{44}+\dfrac{3.55}{71}+\dfrac{0.14}{28}=0.555\left(mol\right)\)

\(V_{hh}=0.555\cdot22.4=12.432\left(l\right)\)

a) \(n_{H_2}=\dfrac{1,2.10^{23}}{6.10^{23}}=0,2\left(mol\right)\); \(n_{SO_2}=\dfrac{6,4}{64}=0,1\left(mol\right)\)

V = (1,5 + 2,5 + 0,2 + 0,1).22,4 = 96,32 (l)

b) \(m_{hh}=1,5.32+2,5.28+0,2.2+6,4=124,8\left(g\right)\)

\(a.n_{CO_2}=\dfrac{4,4}{44}=0,1\left(mol\right);n_{O_2}=\dfrac{0,6.10^{23}}{6.10^{23}}=0,1\left(mol\right)\\ V_{hh}=\left(0,5+1,5+0,1+0,1\right).22,4=49,28\left(l\right)\\ b.m_{hh}=0,5.28+1,5.2+4,4+0,1.32=24,6\left(g\right)\)

a, V_{N\(_2\)} ( đktc ) = 0,5 . 22,4 = 11,2 lít

V_{H\(_2\)}  = 1,5 . 22,4 = 33,6 lít

\(n_{CO_2}=\dfrac{4,4}{44}=0,1\) ( mol )

=> \(V_{CO_2}=0,1.22,4=2,24\) ( lít )

\(n_{O_2}=\dfrac{0,6.10^{23}}{6.10^{23}}=0,1\) ( mol )

=> V_{\(O_2\)} = 0,1 .22,4 = 2,24 lít

=> V_hh = 11,2 + 33,6 + 2,24 + 2,24 = 49,28 lít

b, \(m_{N_2}=0,5.28=14\) ( g )

\(m_{H_2}=1,5.2=3\) ( g )

\(m_{CO_2}=0,1.44=4,4\) ( g )

\(m_{O_2}=0,1.32=3,2\) (g)

\(m_{hh}=14+3+4,4+3,2=24,6\) ( g )

\(n_{H_2}=\dfrac{12.10^{22}}{6.10^{23}}=0,2\left(mol\right)\)

\(n_{SO_2}=\dfrac{3,2}{64}=0,05\left(mol\right)\)

=> V_hh = 0,25.22,4 + 4,48 + 0,2.22,4 + 0,05.22,4 = 15,68(l)

\(V_{O_2}=0,25.22,4=5,6l\)

\(V_{H_2}=\left(\dfrac{1,2.10^{23}}{6.10^{23}}\right).22,4=4,48l\)

\(V_{SO_2}=\left(\dfrac{3,2}{64}\right).22,4=1,12l\)

=> V_hh = 5,6 + 4,48 + 4,48 + 1,12 = 15,68 lít

V_A = ( 0.2 + 0.75 + 1.5 ) * 22.4 = 54.88(l) 

m_A = m_SO2 + m_CO2 + m_N2 = 0.2*64 + 0.75*44 + 1.5*28 = 87.8 g 

\(n_B=\dfrac{4,48}{22,4}=0,2mol\)

\(C+O_2\underrightarrow{t^o}CO_2\)

\(S+O_2\underrightarrow{t^o}SO_2\)

\(\Rightarrow\Sigma n_B=\Sigma n_{O_2}=0,2mol\)

\(\Rightarrow V_{O_2}=0,2\cdot22,4=4,48l\)