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Ta có \(n_{H_2}=\dfrac{2,24}{22,4}=0,1\left(mol\right)\)
\(m_{NaOH}=100.16\%=16\left(g\right)\Rightarrow n_{NaOH}=\dfrac{16}{40}=0,4\left(mol\right)\)
PT: \(2Na+2H_2O\rightarrow2NaOH+H_2\)
\(Na_2O+H_2O\rightarrow2NaOH\)
Theo PT: \(n_{Na}=2n_{H_2}=0,2\left(mol\right)\)
\(n_{NaOH}=n_{Na}+2n_{Na_2O}\Rightarrow n_{Na_2O}=0,1\left(mol\right)\)
\(\Rightarrow\left\{{}\begin{matrix}\%m_{Na}=\dfrac{0,2.23}{0,2.23+0,1.62}.100\%\approx42,6\%\\\%m_{Na_2O}\approx57,4\%\end{matrix}\right.\)
\(n_{CuSO_4}=\dfrac{50}{250}=0.2\left(mol\right)\)
\(n_{FeSO_4}=\dfrac{27.8}{278}=0.1\left(mol\right)\)
\(C_{M_{CuSO_4}}=C_{M_{FeSO_4}}=\dfrac{0.1}{0.1964}=0.5\left(M\right)\)
\(m_{dd_A}=50+27.8+196.4=274.2\left(g\right)\)
\(C\%_{CuSO_4}=\dfrac{0.1\cdot160}{274.2}\cdot100\%=6.47\%\)
\(C\%_{FeSO_4}=\dfrac{0.1\cdot152}{274.2}\cdot100\%=5.54\%\)
\(n_{CuSO_4.5H_2O}=\dfrac{50}{250}=0,2\left(mol\right)\)
=> \(m_{CuSO_4}=0,2.160=32\left(g\right)\)
\(m_{H_2O}=0,2.5.18=18\left(g\right)\)
\(n_{FeSO_4.7H_2O}=\dfrac{27,8}{278}=0,1\left(mol\right)\)=> \(m_{FeSO_4}=0,1.152=15,2\left(g\right)\)
\(m_{H_2O}=0,1.7.18=12,6\left(g\right)\)
\(m_{dd}=196,4+50+27,8=274,2\left(g\right)\)
\(V_{dd}=\dfrac{196,4+18+12,6}{1000}=0,227\left(l\right)\)
=> \(CM_{CuSO_4}=\dfrac{0,2}{0,227}=0,72M\)
\(C\%_{CuSO_4}=\dfrac{32}{274,2}.100=11,67\%\)
\(CM_{FeSO_4}=\dfrac{0,1}{0,227}=0,44M\)
\(C\%_{CuSO_4}=\dfrac{15,2}{274,2}.100=5,54\%\)
\(m_{H_2} = 8,5 + 50 - 58,4 = 0,1(gam)\\ n_{H_2} = \dfrac{0,1}{2} = 0,05(mol)\\ 2Na + 2H_2O \to 2NaOH + H_2\\ Na_2O + H_2O \to 2NaOH\\ n_{Na} = 2n_{H_2} = 0,05.2 = 0,1(mol)\\ \Rightarrow n_{Na_2O} = \dfrac{8,5-0,1.23}{62}=0,1(mol)\\ n_{NaOH} = 2n_{Na_2O} + n_{Na} = 0,3(mol)\\ C\%_{NaOH} = \dfrac{0,3.40}{58,4}.100\% = 20,55\%\)
\(n_{Na}=\dfrac{13,8}{23}=0,6\left(mol\right)\\ pthh:Na+H_2O\rightarrow NaOH+\dfrac{1}{2}H_2\)
0,6 0,6 0,3
\(V_{H_2}=0,3.22,4=6,72\left(l\right)\\ c,m_{\text{dd}}=13,8+286,8-\left(0,3.2\right)=300\left(g\right)\\ C\%=\dfrac{0,6.40}{300}.100\%=8\%\)
\(n_{Na}\) = \(\dfrac{13,8}{23}\) = 0,6 mol
Theo PTHH:
a) \(2Na+2H_2O\underrightarrow{t^o}2NaOH+H_2\)
2 2 2 1 (mol)
0,6 \(\rightarrow\) 0,6 \(\rightarrow\) 0,6 \(\rightarrow\) 0,3 (mol)
b) \(V_{H_2}\) = 0,3.22,4 = 6,72l
c) \(m_{dd}\) = 13,8 + 286,8 - 0,3.2 = 300g
\(C\%\) = \(\dfrac{0,6.40}{300}\).100% = 8%
a)
$2K + 2H_2O \to 2KOH + H_2$
$2Na + 2H_2O \to 2NaOH + H_2$
b)
Gọi $n_K = a(mol) ; n_{Na} = b(mol) \Rightarrow 39a + 23b = 8,5(1)$
Theo PTHH :
$n_{H_2} = 0,5a + 0,5b = \dfrac{3,36}{22,4} = 0,15(2)$
Từ (1)(2) suy ra a = 0,1 ; b = 0,2
$C_{M_{KOH}} = \dfrac{0,1}{0,2} = 0,5M$
$C_{M_{NaOH}} = \dfrac{0,2}{0,2} = 1M$
nNa=0,3(mol); nNa2O=0,15(mol)
PTHH: Na + H2O -> NaOH + 1/2 H2
0,3_______________0,3___0,15(mol)
Na2O + H2O -> 2 NaOH
0,15_________0,3(mol)
=> nNaOH(sau p.ứ)=0,6(mol)
mddNaOH(sau p.ứ)= 284,1+ 6,9+9,3-0,15.2= 300(g)
Gọi x là KL của NaOH tinh khiết 80% lấy thêm.
=> KL chất tan NaOH sau khi trộn vào cùng: mNaOH(cuối)= 0,6.23+0,8x=13,8+-0,8x (g)
KL dd NaOH sau thêm là: mddNaOH(cuối)=300+x(g)
Vì dd NaOH cuối có nồng độ 15% nên ta có pt:
\(\dfrac{13,8+0,8x}{300+x}.100=15\%\\ \Leftrightarrow x=48\)
Vậy cần thêm 48 gam NaOH độ tinh khiết 80%
Chúc em học tốt!
Bài 1:
PTHH: \(Mg+2HCl\rightarrow MgCl_2+H_2\uparrow\)
Ta có: \(n_{Mg}=\dfrac{1}{2}n_{HCl}=\dfrac{1}{2}\cdot0,11\cdot1,5=0,0825\left(mol\right)\)
\(\Rightarrow m_{Mg}=0,0825\cdot24=1,98\left(g\right)\)
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)
=> \(C\%_{dd.NaOH}=\dfrac{0,05.40}{20}.100\%=10\%\)
\(V_{dd.NaOH}=\dfrac{20}{1,2}=\dfrac{50}{3}\left(ml\right)=\dfrac{1}{60}\left(l\right)\)
\(C_{M\left(dd.NaOH\right)}=\dfrac{0,05}{\dfrac{1}{60}}=3M\)
PTHH: \(Na+H_2O\rightarrow NaOH+\dfrac{1}{2}H_2\uparrow\)
\(Na_2O+H_2O\rightarrow2NaOH\)
Ta có: \(\left\{{}\begin{matrix}n_{NaOH}=n_{Na}+2n_{Na_2O}=\dfrac{4,6}{23}+2\cdot\dfrac{6,2}{62}=0,3\left(mol\right)\\n_{H_2}=\dfrac{1}{2}n_{Na}=0,05\left(mol\right)\end{matrix}\right.\) \(\Rightarrow\left\{{}\begin{matrix}m_{NaOH}=0,3\cdot40=12\left(g\right)\\m_{H_2}=0,05\cdot2=0,1\left(g\right)\end{matrix}\right.\)
Mặt khác: \(m_{dd\left(sau.p/ứ\right)}=m_{Na}+m_{Na_2O}+m_{H_2O}-m_{H_2}=110,7\left(g\right)\)
\(\Rightarrow C\%_{NaOH}=\dfrac{12}{110,7}\cdot100\%\approx10,84\%\)
Theo gt ta có: $n_{Na}=0,2(mol);n_{Na_2O}=0,1(mol)$
$2Na+2H_2O\rightarrow 2NaOH+H_2$
$Na_2O+H_2O\rightarrow 2NaOH$
Ta có: $n_{NaOH}=0,4(mol);n_{H_2}=0,1(mol)$
Bảo toàn khối lượng ta có: $m_{dd}=110,6(g)$
$\Rightarrow \%C_{NaOH}=14,46\%$