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Ta có:
\(\dfrac{m_{ct}}{m_{dd}}=\dfrac{a}{a+b}.100\%=10\%\)
\(\dfrac{a}{a+b}=0,1\)
\(a=0,1\left(a+b\right)\)
a=0,1a+0,1b
0,9a=0,1b
\(\dfrac{a}{b}=\dfrac{0,1}{0,9}=\dfrac{1}{9}\)
Bài này e làm sai rồi. Nồng độ chất tan là nồng độ NaOH, ko phải nồng độ Na2O
a/
\(n_{Na_2O}=\dfrac{9,3}{62}=0,15\left(mol\right)\)
\(Na_2O+H_2O\rightarrow2NaOH\)
0,15 0,3 (mol)
\(m_{NaOH}=0,3.40=12\left(g\right)\)
\(m_A=90,7+9,3=100\left(g\right)\)
\(C\%_{NaOH}=\dfrac{12}{100}.100\%=12\%\)
b/
m\(_{FeSO_4}=\dfrac{16.200}{100}=32\left(g\right)\)
\(\rightarrow m_{FeSO_4}=\dfrac{32}{152}=\dfrac{4}{19}\left(mol\right)\)
\(2NaOH+FeSO_4\rightarrow Na_2SO_4+Fe\left(OH\right)_2\downarrow\)
bđ: 0,3 \(\dfrac{4}{19}\) 0 0 (mol)
pư: 0,3 0,15 0,15 0,15 (mol)
dư: 0 \(\dfrac{23}{380}\) (mol)
\(m_{Fe\left(OH\right)_2}=0,15.90=13,5\left(g\right)\)
\(m_C=100+200-13,5=286,5\left(g\right)\)
\(m_{Na_2SO_4}=0,15.142=21,3\left(g\right)\)
\(\rightarrow C\%_{Na_2SO_4}=\dfrac{21,3}{286,5}.100\%\approx7,4\%\)
\(m_{FeSO_4\left(dư\right)}=\dfrac{23}{380}.152=9,2\left(g\right)\)
\(\rightarrow C\%_{FeSO_4\left(dư\right)}=\dfrac{9,2}{286,5}.100\%\approx3,2\%\)
Sửa đề: 9,2 gam Na
\(a,n_{Na_2O}=\dfrac{9,2}{23}=0,4\left(mol\right)\)
PTHH: \(Na_2O+H_2O\rightarrow2NaOH\)
0,4------------------>0,8
\(\rightarrow C_{M\left(NaOH\right)}=\dfrac{0,8}{0,5}=1,6M\)
\(b,n_{K_2O}=\dfrac{37,6}{94}=0,4\left(mol\right)\)
PTHH: \(K_2O+H_2O\rightarrow2KOH\)
0,4----------------->0,8
\(\rightarrow C\%_{KOH}=\dfrac{0,8.56}{362,4+37,6}.100\%=11,2\%\)
a, Gọi \(m_{NaCl\left(thêm\right)}=a\left(g\right)\)
\(m_{NaCl\left(bđ\right)}=5\%.100=5\left(g\right)\\ \Rightarrow C\%_{NaCl}=\dfrac{5+a}{100+a}.100\%=5,5\%\\ \Leftrightarrow a=0,53\left(g\right)\)
b, \(m_{NaCl}=58,5.5,5\%=3,2175\left(g\right)\\ n_{NaCl}=\dfrac{3,2175}{58,5}=0,055\left(mol\right)\)
PTHH: NaCl + AgNO3 ---> AgCl↓ + NaNO3
0,055-->0,055------>0,055---->0,055
\(m_{AgCl}=0,055.143,5=7,8925\left(g\right)\\ m_{ddY}=58,5+200-7,8925=250,6075\left(g\right)\\ \Rightarrow C\%_{NaNO_3}=\dfrac{0,055.85}{250,6075}.100\%=1,87\%\)
\(Na+H_2O->NaOH+\dfrac{1}{2}H_2\\ a.n_{Na}=\dfrac{m_1}{23}\left(mol\right)\\ m_{ddsau}=\dfrac{m_1}{23}+m_2-\dfrac{m_1}{46}=\dfrac{m_1}{46}+m_2\left(g\right)\\ C\%_B=\dfrac{\dfrac{40}{23}m_1}{\dfrac{m_1}{46}+m_2}\cdot100\%.\\ b.C_M=\dfrac{10dC\%}{M}=10\cdot1,2\cdot\dfrac{0,05}{40}=0,015\left(M\right)\)
\(Na+H_2O->NaOH+\dfrac{1}{2}H_2\\ a.n_{Na}=\dfrac{m_1}{23}\left(mol\right)\\ m_{ddsau}=m_1+m_2-\dfrac{m_1}{23}=\dfrac{22}{23}m_1+m_2\left(g\right)\\ C\%_B=\dfrac{\dfrac{40}{23}m_1}{\dfrac{22}{23}m_1+m_2}\cdot100\%.\\ b.C_M=\dfrac{10dC\%}{M}=10\cdot1,2\cdot\dfrac{0,05}{40}=0,015\left(M\right)\)
Bài 6: \(m_{H_2SO_4}=\dfrac{200.10}{100}=20\left(g\right)\)
4) Vì khối lượng chất tan không đổi nên ta có công thức sau:
C%1.mdd1=C%2.mdd2
-> 50%.10=C%2.100
-> C%2=50%.10:100=5(%)
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)
=> \(C\%_{dd.NaOH}=\dfrac{0,05.40}{20}.100\%=10\%\)
\(V_{dd.NaOH}=\dfrac{20}{1,2}=\dfrac{50}{3}\left(ml\right)=\dfrac{1}{60}\left(l\right)\)
\(C_{M\left(dd.NaOH\right)}=\dfrac{0,05}{\dfrac{1}{60}}=3M\)
\(n_{Na_2O}=\dfrac{a}{62}\left(mol\right)\)
\(m_{dd}=a+b\left(g\right)\)
`Na_2O + H_2O -> 2NaOH`
Theo PT: `n_{NaOH} = 2n_{Na_2O} = a/(31) (mol)`
\(\Rightarrow C\%_{NaOH}=\dfrac{40.\dfrac{a}{31}}{a+b}.100\%=10\%\)
\(\Leftrightarrow\dfrac{40a}{31}=0,1\left(a+b\right)\\ \Leftrightarrow\dfrac{369a}{310}=0,1b\\ \Leftrightarrow\dfrac{a}{b}=\dfrac{0,1}{\dfrac{369}{310}}=\dfrac{31}{369}\)
Hay `a : b = 31 : 369`
\(Na_2O+H_2O->2NaOH\\ C\%=0,1=\dfrac{\dfrac{a}{62}\cdot2\cdot40}{a+b}\\ 0,1a+0,1b=\dfrac{40}{31}a\\ 0,1b=\dfrac{369}{310}a\\ a:b=\dfrac{0,1}{\dfrac{369}{310}}=\dfrac{31}{369}=0,08401\)