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a, PTPƯ: SO3 + H2O ---> H2SO4
nSO3=\(\dfrac{2,24}{22,4}=0,1mol\)
1 mol SO3 ---> 0,1 mol H2SO4
nên 0,1 mol SO3 ---> 0,1 mol H2SO4
CM H2SO4=\(\dfrac{0,1}{0,5}\)=0,2 M
b, PTPƯ: Zn + H2SO4 ---> ZnSO4 + H2
1 mol H2SO4 ---> 1 mol Zn
nên 0,1 mol H2SO4 ---> 0,1 mol Zn
mZn=0,1.65=6,5 g
a) mM (1)= 200*20/100= 40g
mM (2)= 300*5/100=15g
mM= 40+15=55g
mdd= 200+300=500g
C%= 55/500*100%= 11%
b) Đặt: VH2SO4 (1)= x (l)
VH2SO4 (2)= y (l)
nH2SO4 (1)= 1.5x mol
nH2SO4 (2)= 0.3y mol
nH2SO4= 1.5x + 0.3y= 0.3*0.5=0.15 (mol) (1)
VH2SO4= x + y = 0.3 l (2)
Giải (1) và (2):
x= 0.05
y= 0.25
VH2SO4 (1)= 0.05l
VH2SO4 (2)= 0.25l
Bài 1:
\(a.n_{NaOH\left(tổng\right)}=0,05.1+0,2.0,2=0,09\left(mol\right)\\ V_{ddNaOH\left(tổng\right)}=50+200=250\left(ml\right)=0,25\left(l\right)\\ C_{MddNaOH\left(cuối\right)}=\dfrac{0,09}{0,25}=0,36\left(M\right)\\ b.n_{HCl}=0,5.0,02=0,01\left(mol\right)\\ n_{H_2SO_4}=0,08.0,2=0,016\left(mol\right)\\ V_{ddsau}=20+80=100\left(ml\right)=0,1\left(l\right)\\ C_{MddH_2SO_4}=\dfrac{0,016}{0,1}=0,16\left(M\right)\\ C_{MddHCl}=\dfrac{0,01}{0,1}=0,1\left(M\right)\)
Bài 2:
\(a.m_{H_2SO_4}=29,4.10\%=2,94\left(g\right)\\ b.n_{H_2SO_4}=\dfrac{2,94}{98}=0,03\left(mol\right)\\ n_{Fe}=\dfrac{0,56}{56}=0,01\left(mol\right)\\ Fe+H_2SO_4\rightarrow FeSO_4+H_2\\ Vì:\dfrac{0,01}{1}< \dfrac{0,03}{1}\Rightarrow H_2SO_4dư\\ n_{H_2SO_4\left(dư\right)}=0,03-0,01=0,02\left(mol\right)\\ m_{H_2SO_4\left(dư\right)}=0,02.98=1,96\left(g\right)\\ n_{H_2}=n_{Fe}=0,01\left(mol\right)\\ \Rightarrow V_{H_2\left(đktc\right)}=0,01.22,4=0,224\left(l\right)\)
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
\(\rightarrow C\%_{KOH}=\dfrac{0,8.56}{362,4+37,6}.100\%=11,2\%\)
\(a)n_{Fe}=\dfrac{8,4}{56}=0,15mol\\ Fe+H_2SO_4\rightarrow FeSO_4+H_2\\ n_{H_2}=n_{H_2SO_4}=n_{FeSO_4}=n_{Fe}=0,15mol\\ V=V_{H_2}=0,15.24,79=3,185l\\ b)V_{H_2SO_4}=\dfrac{0,15}{1}=0,15l\\ c)C_{M_A}=C_{M_{FeSO_4}}=\dfrac{0,15}{0,15}=1M\)
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) => \(\left\{{}\begin{matrix}a=\dfrac{161}{825}\left(mol\right)\\b=\dfrac{57}{275}\left(mol\right)\end{matrix}\right.\)
=> \(x=\dfrac{161}{825}.27+\dfrac{57}{275}.65=\dfrac{5154}{275}\left(g\right)\)
\(m_{H_2SO_4\left(dư\right)}=m_{Al_2\left(SO_4\right)_3}=342.0,5\dfrac{161}{825}=\dfrac{9177}{275}\left(g\right)\)
=> \(m_{H_2SO_4\left(bđ\right)}=98\left(1,5a+b\right)+\dfrac{9177}{275}=\dfrac{22652}{275}\left(g\right)\)
=> \(y=\dfrac{\dfrac{22652}{275}.100}{10}=\dfrac{45304}{55}\left(g\right)\)
\(n_{Fe}=\dfrac{11,2}{56}=0,2mol\)
\(Fe+H_2SO_4\rightarrow FeSO_4+H_2\)
0,2 0,2 0,2 0,2
a)\(V_{H_2}=0,2\cdot22,4=4,48l\)
b)\(C_{M_{H_2SO_4}}=\dfrac{0,2}{0,5}=0,4M\)
c)\(C_{M_{FeSO_4}}=\dfrac{0,2}{0,5}=0,4M\)
\(n_{Fe}=\dfrac{11,2}{56}=0,2\left(mol\right)\)
pthh : \(Fe+H_2SO_4->FeSO_4+H_2\)
0,2 0,2
=> \(V_{H_2}=0,2.22,4=4,48\left(L\right)\)
\(m_{H_2SO_4}=\dfrac{0,5}{22,4}.98\approx2,188\left(g\right)\)
=> mdd=11,2+2,188=13,388(g)
C%=\(\dfrac{2,188}{13,388}.100\%=16,3\%\)
\(C_{M\left(dd.H_2SO_4.sau.khi.trộn\right)}=\dfrac{0,5.0,5+0,3.1,5}{0,5+0,3}=0,875M\)