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\(n_{Na_2O}=\dfrac{15,5}{62}=0,25\left(mol\right)\\ PTHH:Na_2O+H_2O\rightarrow2NaOH\\ n_{NaOH}=2.0,25=0,5\left(mol\right)\\ a,C_{MddNaOH}=\dfrac{0,5}{0,5}=1\left(M\right)\\ b,2NaOH+H_2SO_4\rightarrow Na_2SO_4+2H_2O\\ n_{H_2SO_4}=n_{Na_2SO_4}=\dfrac{0,5}{2}=0,25\left(mol\right)\\ m_{H_2SO_4}=0,25.98=24,5\left(g\right)\\ m_{ddH_2SO_4}=\dfrac{24,5.100}{20}=122,5\left(g\right)\\ V_{ddH_2SO_4}=\dfrac{122,5}{1,14}\approx107,456\left(ml\right)\\ c,V_{ddsau}=V_{ddNaOH}+V_{ddH_2SO_4}\approx0,5+0,107456=0,607456\left(l\right)\\C_{MddNa_2SO_4}\approx\dfrac{ 0,25}{0,607456}\approx0,411552\left(M\right)\)
Bài1:
a,Vì dd A là dd bazo nên làm cho quỳ tím đổi thành màu xanh
b,\(n_{Na_2O}=\dfrac{21,7}{62}=0,35\left(mol\right)\)
PTHH: Na2O + H2O → 2NaOH
Mol: 0,35 0,7
\(\Rightarrow C_{M_{ddNaOH}}=\dfrac{0,7}{0,4}=1,75M\)
Bài 2:
a,\(n_{H_2}=\dfrac{3,36}{22,4}=0,15\left(mol\right)\)
PTHH: Zn + 2HCl → ZnCl2 + H2
Mol: 0,15 0,3 0,15
⇒ a=mZn = 0,15.65 = 9,75 (g)
b,\(V_{HCl}=\dfrac{0,3}{1,5}=0,2\left(l\right)=200\left(ml\right)\)
a) $n_{NaOH} = \dfrac{15,5}{40} = 0,3875(mol)$
$C_{M_{NaOH}} = \dfrac{0,3875}{0,5} =0,775M$
b)
$2NaOH + H_2SO_4 \to Na_2SO_4 + H_2$
$n_{H_2SO_4} = \dfrac{1}{2}n_{NaOH} = 0,19375(mol)$
$m_{dd\ H_2SO_4} =\dfrac{0,19375.98}{20\%} = 94,9375(gam)$
$V_{dd\ H_2SO_4} = \dfrac{94,9375}{1,14} = 83,28(ml)$
\(C_{M\left(H_2SO_4\right)}=a;C_{M\left(NaOH\right)}=b\\ H_2SO_4+2NaOH->Na_2SO_4+2H_2O\\ 0,015a\cdot2-0,036b=0\\ Ba\left(OH\right)_2+H_2SO_4->BaSO_4+2H_2O\\ 0,04a=\dfrac{0,056b}{2}+\dfrac{0,466}{233}=0,028b+0,002\\ a=0,12M;b=0,1M\)
\(a,n_{H_2SO_4}=0,5\cdot0,2=0,1\left(mol\right)\\ PTHH:H_2SO_4+2NaOH\rightarrow Na_2SO_4+2H_2O\\ \Rightarrow n_{NaOH}=2n_{H_2SO_4}=0,2\left(mol\right)\\ \Rightarrow a=C_{M_{H_2SO_4}}=\dfrac{0,2}{0,2}=1M\\ b,n_{Na_2SO_4}=n_{H_2SO_4}=0,1\left(mol\right)\\ \Rightarrow C_{M_{Na_2SO_4}}=\dfrac{0,1}{0,2+0,2}=0,25M\)
Gọi \(\left\{{}\begin{matrix}C_{M\left(A\right)}=aM\\C_{M\left(B\right)}=bM\end{matrix}\right.\)
Giả sử trộn 50ml dd A với 50ml dd B để thu được 100ml dd C
=> \(\left\{{}\begin{matrix}n_{NaOH}=0,05a\left(mol\right)\\n_{Ba\left(OH\right)_2}=0,05b\left(mol\right)\end{matrix}\right.\)
\(n_{BaSO_4}=\dfrac{9,32}{233}=0,04\left(mol\right)\)
nH2SO4 = 0,035.2 = 0,07 (mol)
PTHH: Ba(OH)2 + H2SO4 --> BaSO4 + 2H2O
0,04<----0,04<-------0,04
2NaOH + H2SO4 --> Na2SO4 + 2H2O
0,06<----0,03
=> \(\left\{{}\begin{matrix}0,05a=0,06\\0,05b=0,04\end{matrix}\right.\)
=> a = 1,2; b = 0,8
20 ml dd A chứa nNaOH = 0,02.1,2 = 0,024 (mol)
\(n_{Al_2O_3}=\dfrac{20,4}{102}=0,2\left(mol\right)\)
PTHH: 2NaOH + Al2O3 --> 2NaAlO2 + H2O
0,024-->0,012
Ba(OH)2 + Al2O3 --> Ba(AlO2)2 + H2O
0,188<---0,188
=> \(V_{dd.B}=\dfrac{0,188}{0,8}=0,235\left(l\right)=235\left(ml\right)\)
\(n_{Na_2O}=\dfrac{12,4}{62}=0,2\left(mol\right)\)
PTHH:
\(Na_2O+H_2O\rightarrow2NaOH\)
0,2 0,2 0,4
\(C_{M\left(NaOH\right)}=\dfrac{0,4}{0,5}=0,8\left(M\right)\)
\(2NaOH+H_2SO_4\rightarrow Na_2SO_4+2H_2O\)
0,4 0,2
\(V_{H_2SO_4}=\dfrac{0,2}{1}=0,2\left(l\right)=200\left(ml\right)\)
a)\(n_{K_2O}=\dfrac{23,5}{94}=0,25mol\)
\(K_2O+H_2O\rightarrow2KOH\)
0,25 0,25 0,5
\(C_M=\dfrac{0,5}{0,5}=1M\)
b)Để trung hòa: \(n_{H^+}=n_{OH^-}=0,5\)
\(\Rightarrow n_{H_2SO_4}=\dfrac{1}{2}n_{H^+}=0,25mol\)
\(m_{H_2SO_4}=0,25\cdot98=24,5g\)
\(\Rightarrow m_{ddHCl}=\dfrac{24,5\cdot100\%}{60\%}=\dfrac{245}{6}g\)
Thể tích dung dịch:
\(V=\dfrac{m}{D}=\dfrac{\dfrac{245}{6}}{1,5}\approx27,22ml\)
\(n_{K_2O}=\dfrac{23,5}{94}=0,25\left(mol\right)\\ K_2O+H_2O\rightarrow2KOH\\ n_{KOH}=2.0,25=0,5\left(mol\right)\\ a,C_{M\text{dd}A}=C_{M\text{dd}KOH}=\dfrac{0,5}{0,5}=1\left(M\right)\\ b,2KOH+H_2SO_4\rightarrow K_2SO_4+2H_2O\\ n_{H_2SO_4}=\dfrac{0,5}{2}=0,25\left(mol\right)\\ m_{H_2SO_4}=0,25.98=24,5\left(g\right)\\ m_{\text{dd}H_2SO_4}=\dfrac{24,5.100}{60}=\dfrac{245}{6}\left(g\right)\\ V_{\text{dd}H_2SO_4}=\dfrac{\dfrac{245}{6}}{1,5}=\dfrac{245}{9}\left(ml\right)\approx27,222\left(ml\right)\)