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\(n_{H_2}=\dfrac{2,688}{22,4}=0,12\left(mol\right)\Rightarrow n_{OH^-}=n_{H^+}=2.0,12=0,24\left(mol\right)\)
Để trung hoà ddX thì cần 0,24 mol H+ có trong ddY.
\(Đặt:n_{H_2SO_4}=a\left(mol\right)\Rightarrow n_{HCl}=2.2a=4a\left(mol\right)\) (Này viết PTHH ra em sẽ hiểu)
\(n_{H^+\left(trongY\right)}=2.n_{H_2SO_4}+n_{HCl}=2a+4a=6a\\ \Leftrightarrow0,24=6a\\ \Leftrightarrow a=0,04\\ \Rightarrow hhY:\left\{{}\begin{matrix}0,04\left(mol\right)H_2SO_4\\0,16\left(mol\right)HCl\end{matrix}\right.\\ \Rightarrow m_{muối}=m_{hh.kloai}+96.0,04+35,5.0,16=8,94+9,52=18,46\left(g\right)\)
a)
\(n_{H_2}=\dfrac{0,336}{22,4}=0,015\left(mol\right)\)
PTHH: 2Na + 2H2O --> 2NaOH + H2
0,03<------------0,03<----0,015
=> \(\%m_{Na}=\dfrac{0,03.23}{1,31}.100\%=52,67\%\)
=> \(\%m_{Na_2O}=100\%-52,67\%=47,33\%\)
b)
\(n_{Na_2O}=\dfrac{1,31.47,33\%}{62}=0,01\left(mol\right)\)
PTHH: Na2O + H2O --> 2NaOH
0,01----------->0,02
=> nNaOH = 0,03 + 0,02 = 0,05 (mol)
mdd sau pư = 1,31 + 18,72 - 0,015.2 = 20 (g)
=> \(C\%_{dd.NaOH}=\dfrac{0,05.40}{20}.100\%=10\%\)
\(V_{dd.NaOH}=\dfrac{20}{1,2}=\dfrac{50}{3}\left(ml\right)=\dfrac{1}{60}\left(l\right)\)
\(C_{M\left(dd.NaOH\right)}=\dfrac{0,05}{\dfrac{1}{60}}=3M\)
\(n_{CuSO_4}=\dfrac{50}{250}=0.2\left(mol\right)\)
\(n_{FeSO_4}=\dfrac{27.8}{278}=0.1\left(mol\right)\)
\(C_{M_{CuSO_4}}=C_{M_{FeSO_4}}=\dfrac{0.1}{0.1964}=0.5\left(M\right)\)
\(m_{dd_A}=50+27.8+196.4=274.2\left(g\right)\)
\(C\%_{CuSO_4}=\dfrac{0.1\cdot160}{274.2}\cdot100\%=6.47\%\)
\(C\%_{FeSO_4}=\dfrac{0.1\cdot152}{274.2}\cdot100\%=5.54\%\)
\(n_{CuSO_4.5H_2O}=\dfrac{50}{250}=0,2\left(mol\right)\)
=> \(m_{CuSO_4}=0,2.160=32\left(g\right)\)
\(m_{H_2O}=0,2.5.18=18\left(g\right)\)
\(n_{FeSO_4.7H_2O}=\dfrac{27,8}{278}=0,1\left(mol\right)\)=> \(m_{FeSO_4}=0,1.152=15,2\left(g\right)\)
\(m_{H_2O}=0,1.7.18=12,6\left(g\right)\)
\(m_{dd}=196,4+50+27,8=274,2\left(g\right)\)
\(V_{dd}=\dfrac{196,4+18+12,6}{1000}=0,227\left(l\right)\)
=> \(CM_{CuSO_4}=\dfrac{0,2}{0,227}=0,72M\)
\(C\%_{CuSO_4}=\dfrac{32}{274,2}.100=11,67\%\)
\(CM_{FeSO_4}=\dfrac{0,1}{0,227}=0,44M\)
\(C\%_{CuSO_4}=\dfrac{15,2}{274,2}.100=5,54\%\)
a)Quy \(\left\{{}\begin{matrix}Na:x\left(mol\right)\\Ba:y\left(môl\right)\\O:z\left(mol\right)\end{matrix}\right.\underrightarrow{+H_2O}\left\{{}\begin{matrix}NaOH:x\left(mol\right)\\Ba\left(OH\right)_2:y\left(mol\right)\\O^{2-}:z\left(mol\right)\end{matrix}\right.+H_2\)
\(n_{H_2}=\dfrac{1,12}{22,4}=0,05mol\)
\(n_{Ba\left(OH\right)_2}=\dfrac{20,52}{171}=0,12mol\Rightarrow y=0,12mol\)
Ta có hệ: \(\left\{{}\begin{matrix}BTKL:23x+137y+16z=21,9\\y=0,12\\BTe:x+2y=2z+2n_{H_2}\Rightarrow x-2z=-0,14\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}x=0,14\\y=0,12\\z=0,14\end{matrix}\right.\)
\(n_{OH^-}=n_{NaOH}+2n_{Ba\left(OH\right)_2}=0,14+2\cdot0,12=0,38mol\)
\(n_{CO _2}=\dfrac{6,72}{22,4}=0,3mol\Rightarrow n_{CO_3^{2-}}=0,38-0,3=0,08mol\)
\(\Rightarrow m_{CO_3^{2-}\downarrow}=0,08\cdot197=15,76g\)
a) Do dd sau pư có 3 chát tan với nồng độ % bằng nhau
=> \(m_{Al_2\left(SO_4\right)_3}=m_{ZnSO_4}=m_{H_2SO_4\left(dư\right)}\)
Gọi số mol Al, Zn là a, b (mol)
PTHH: 2Al + 3H2SO4 --> Al2(SO4)3 + 3H2
a----->1,5a------->0,5a----->1,5a
Zn + H2SO4 --> ZnSO4 + H2
b----->b--------->b----->b
=> \(\left\{{}\begin{matrix}m_{Al_2\left(SO_4\right)_3}=342.0,5a=171a\left(g\right)\\m_{ZnSO_4}=161b\left(g\right)\end{matrix}\right.\)
=> 171a = 161b
=> \(\dfrac{a}{b}=\dfrac{161}{171}\) (1)
Có: \(\dfrac{m_{Al}}{m_{Zn}}=\dfrac{27.n_{Al}}{65.n_{Zn}}=\dfrac{27}{65}.\dfrac{161}{171}=\dfrac{483}{1235}\)
b) \(n_{H_2}=1,5a+b=\dfrac{11,2}{22,4}=0,5\left(mol\right)\) (2)
(1)(2) => \(\left\{{}\begin{matrix}a=\dfrac{161}{825}\left(mol\right)\\b=\dfrac{57}{275}\left(mol\right)\end{matrix}\right.\)
=> \(x=\dfrac{161}{825}.27+\dfrac{57}{275}.65=\dfrac{5154}{275}\left(g\right)\)
\(m_{H_2SO_4\left(dư\right)}=m_{Al_2\left(SO_4\right)_3}=342.0,5\dfrac{161}{825}=\dfrac{9177}{275}\left(g\right)\)
=> \(m_{H_2SO_4\left(bđ\right)}=98\left(1,5a+b\right)+\dfrac{9177}{275}=\dfrac{22652}{275}\left(g\right)\)
=> \(y=\dfrac{\dfrac{22652}{275}.100}{10}=\dfrac{45304}{55}\left(g\right)\)
a) Do dd sau pư có 3 chát tan với nồng độ % bằng nhau
=> \(m_{Al_2\left(SO_4\right)_3}=m_{ZnSO_4}=m_{H_2SO_4\left(dư\right)}\)
Gọi số mol Al, Zn là a, b (mol)
PTHH: 2Al + 3H2SO4 --> Al2(SO4)3 + 3H2
a----->1,5a------->0,5a----->1,5a
Zn + H2SO4 --> ZnSO4 + H2
b----->b--------->b----->b
=> \(\left\{{}\begin{matrix}m_{Al_2\left(SO_4\right)_3}=342.0,5a=171a\left(g\right)\\m_{ZnSO_4}=161b\left(g\right)\end{matrix}\right.\)
=> 171a = 161b
=> \(\dfrac{a}{b}=\dfrac{161}{171}\) (1)
Có: \(\dfrac{m_{Al}}{m_{Zn}}=\dfrac{27.n_{Al}}{65.n_{Zn}}=\dfrac{27}{65}.\dfrac{161}{171}=\dfrac{483}{1235}\)
b) \(n_{H_2}=1,5a+b=\dfrac{11,2}{22,4}=0,5\left(mol\right)\) (2)
(1)(2) => \(\left\{{}\begin{matrix}a=\dfrac{161}{825}\left(mol\right)\\b=\dfrac{57}{275}\left(mol\right)\end{matrix}\right.\)
=> \(x=\dfrac{161}{825}.27+\dfrac{57}{275}.65=\dfrac{5154}{275}\left(g\right)\)
\(m_{H_2SO_4\left(dư\right)}=m_{Al_2\left(SO_4\right)_3}=342.0,5\dfrac{161}{825}=\dfrac{9177}{275}\left(g\right)\)
=> \(m_{H_2SO_4\left(bđ\right)}=98\left(1,5a+b\right)+\dfrac{9177}{275}=\dfrac{22652}{275}\left(g\right)\)
=> \(y=\dfrac{\dfrac{22652}{275}.100}{10}=\dfrac{45304}{55}\left(g\right)\)
Bài 10:
- Giả sử có 100 gam dd H2SO4 98%
\(m_{H_2SO_4}=\dfrac{100.98}{100}=98\left(g\right)\) => \(n_{H_2SO_4}=\dfrac{98}{98}=1\left(mol\right)\)
\(V_{dd.H_2SO_4.98\%}=\dfrac{100}{1,84}=\dfrac{1250}{23}\left(ml\right)=\dfrac{5}{92}\left(l\right)\)
\(C_{M\left(dd.H_2SO_4.98\%\right)}=\dfrac{1}{\dfrac{5}{92}}=18,4M\)
\(n_{H_2SO_4}=18,4.0,05=0,92\left(mol\right)\)
=> \(m_{H_2SO_4}=0,92.98=90,16\left(g\right)\)
=> \(m_{dd.H_2SO_4.10\%}=\dfrac{90,16.100}{10}=901,6\left(g\right)\)
Bài 11:
a) Do dd sau pư có 3 chát tan với nồng độ % bằng nhau
=> \(m_{Al_2\left(SO_4\right)_3}=m_{ZnSO_4}=m_{H_2SO_4\left(dư\right)}\)
Gọi số mol Al, Zn là a, b (mol)
PTHH: 2Al + 3H2SO4 --> Al2(SO4)3 + 3H2
a----->1,5a------->0,5a----->1,5a
Zn + H2SO4 --> ZnSO4 + H2
b----->b--------->b----->b
=> \(\left\{{}\begin{matrix}m_{Al_2\left(SO_4\right)_3}=342.0,5a=171a\left(g\right)\\m_{ZnSO_4}=161b\left(g\right)\end{matrix}\right.\)
=> 171a = 161b
=> \(\dfrac{a}{b}=\dfrac{161}{171}\) (1)
Có: \(\dfrac{m_{Al}}{m_{Zn}}=\dfrac{27.n_{Al}}{65.n_{Zn}}=\dfrac{27}{65}.\dfrac{161}{171}=\dfrac{483}{1235}\)
b) \(n_{H_2}=1,5a+b=\dfrac{11,2}{22,4}=0,5\left(mol\right)\) (2)
(1)(2) => \(\left\{{}\begin{matrix}a=\dfrac{161}{825}\left(mol\right)\\b=\dfrac{57}{275}\left(mol\right)\end{matrix}\right.\)
=> \(x=\dfrac{161}{825}.27+\dfrac{57}{275}.65=\dfrac{5154}{275}\left(g\right)\)
\(m_{H_2SO_4\left(dư\right)}=m_{Al_2\left(SO_4\right)_3}=342.0,5\dfrac{161}{825}=\dfrac{9177}{275}\left(g\right)\)
=> \(m_{H_2SO_4\left(bđ\right)}=98\left(1,5a+b\right)+\dfrac{9177}{275}=\dfrac{22652}{275}\left(g\right)\)
=> \(y=\dfrac{\dfrac{22652}{275}.100}{10}=\dfrac{45304}{55}\left(g\right)\)