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a, Gọi \(\left\{{}\begin{matrix}n_{Al}=a\left(mol\right)\\n_{Mg}=b\left(mol\right)\end{matrix}\right.\)
\(n_{H_2}=\dfrac{6,72}{22,4}=0,3\left(mol\right)\)
PTHH:
2Al + 3H2SO4 ---> Al2(SO4)3 + 3H2
a---->1,5a--------------------------->1,5a
Mg + H2SO4 ---> MgSO4 + H2
b------>b----------------------->b
Hệ pt \(\left\{{}\begin{matrix}27a+24b=6,3\\1,5a+b=0,3\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=0,1\left(mol\right)\\b=0,15\left(mol\right)\end{matrix}\right.\)
\(\rightarrow\left\{{}\begin{matrix}m_{Al}=0,1.27=2,7\left(g\right)\\m_{Mg}=0,15.24=3,6\left(g\right)\end{matrix}\right.\\ \rightarrow\left\{{}\begin{matrix}\%m_{Al}=\dfrac{2,7}{6,3}=42,86\%\\\%m_{Mg}=100\%-42,86\%=57,14\%\end{matrix}\right.\)
b, \(n_{H_2SO_4}=0,1.1,5+0,15=0,3\left(mol\right)\)
\(\rightarrow V_{ddH_2SO_4}=\dfrac{0,3}{0,5}=0,6\left(l\right)=600\left(ml\right)\)
c, đề yêu cầu jv?
Gọi x,y lần lượt là số mol của Al, Fe
nH2 = \(\dfrac{8,96}{22,4}\)=0,4 mol
Pt: 2Al + 3H2SO4 --> Al2(SO4)3 + 3H2
......x.................................0,5x...........1,5x
.....Fe + H2SO4 --> FeSO4 + H2
.......y..........................y............y
Ta có hệ pt:
{27x+56y=11
1,5x+y=0,4
⇔x=0,2, y=0,1
% mAl = \(\dfrac{0,2.27}{11}\).100%=49,1%
% mFe = \(\dfrac{0,1.56}{11}\).100%=50,9%
mAl2(SO4)3 = 0,5x . 342 = 0,5 . 0,2 . 342 = 34,2 (g)
mFeSO4 = 152y = 152 . 0,1 = 15,2 (g)
Gọi CTTQ: MxOy
Pt: MxOy + yH2 --to--> xM + yH2O
\(\dfrac{0,4}{y}\)<-------0,4
Ta có: 232,2=\(\dfrac{0,4}{y}\)(56x+16y)
⇔23,2=\(\dfrac{22,4x}{y}\)+6,4
⇔\(\dfrac{22,4x}{y}\)=16,8
⇔22,4x=16,8y
⇔x:y=3:4
Vậy CTHH của oxit: Fe3O4
a) \(n_{H_2}=\dfrac{6,72}{22,4}=0,3\left(mol\right)\)
PTHH:
\(2Al+3H_2SO_4\rightarrow Al_2\left(SO_4\right)_3+3H_2\) (1)
\(Al_2O_3+3H_2SO_4\rightarrow Al_2\left(SO_4\right)_3+3H_2O\) (2)
Theo PT (1): \(n_{Al}=\dfrac{2}{3}n_{H_2}=0,2\left(mol\right)\)
\(\Rightarrow\left\{{}\begin{matrix}m_{Al}=0,2.27=5,4\left(g\right)\\m_{Al_2O_3}=15,6-5,4=10,2\left(g\right)\end{matrix}\right.\)
b) \(n_{Al_2O_3}=\dfrac{10,2}{102}=0,1\left(mol\right)\)
Theo PT (1), (2): \(n_{Al_2\left(SO_4\right)_3}=\dfrac{1}{2}n_{Al}+n_{Al_2O_3}=0,2\left(mol\right)\)
\(\Rightarrow m_{mu\text{ố}i}=m_{Al_2\left(SO_4\right)_3}=0,2.342=68,4\left(g\right)\)
c) Theo PT (1), (2): \(n_{H_2SO_4}=n_{H_2}+3n_{Al_2O_3}=0,6\left(mol\right)\)
\(\Rightarrow m_{H_2SO_4\left(c\text{ần}.d\text{ùng}\right)}=0,6.98=58,8\left(g\right)\)
\(n_{Zn} = a(mol) ; n_{Al} = b(mol) ; n_{Mg} = c(mol)\\ \Rightarrow 65a + 27b + 24c = 44,1(1)\\ Zn + 2HCl \to ZnCl_2 + H_2\\ 2Al + 6HCl \to 2AlCl_3 + 3 H_2\\ Mg + 2HCl \to MgCl_2 + H_2\\ n_{H_2} = a + 1,5b + c = \dfrac{31,36}{22,4} = 1,4(2)\\ Mà : 2a = 3b(3)\\ (1)(2)(3) \Rightarrow a = 0,3 ; b = 0,2 ; c = 0,8\\ \%m_{Zn} = \dfrac{0,3.65}{44,1}.100\% = 44,22\%\\ \%m_{Al} = \dfrac{0,2.27}{44,1}.100\% = 12,24\%\)
\(\%m_{Mg} = 100\% -44,22\% -12,24\% = 43,54\%\)
a, PT: \(2Al+6HCl\rightarrow2AlCl_3+3H_2\)
\(Mg+2HCl\rightarrow MgCl_2+H_2\)
b, Gọi: \(\left\{{}\begin{matrix}n_{Al}=x\left(mol\right)\\n_{Mg}=y\left(mol\right)\end{matrix}\right.\) ⇒ 27x + 24y = 7,8 (1)
Ta có: m dd tăng = mKL - mH2 ⇒ mH2 = 7,8 - 7 = 0,8 (g)
\(\Rightarrow n_{H_2}=\dfrac{0,8}{2}=0,4\left(mol\right)\)
Theo PT: \(n_{H_2}=\dfrac{3}{2}n_{Al}+n_{Mg}=\dfrac{3}{2}x+y=0,4\left(mol\right)\left(2\right)\)
\(\Rightarrow\left\{{}\begin{matrix}x=0,2\left(mol\right)\\y=0,1\left(mol\right)\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}\%m_{Al}=\dfrac{0,2.27}{7,8}.100\%\approx69,23\%\\\%m_{Mg}\approx30,77\%\end{matrix}\right.\)
a/ Gọi số mol Al, Mg trong hỗn hợp là a, b
PTHH:
2Al + 6HCl ===> 2AlCl3 + 3H2
a............................................1,5a
Mg + 2HCl ===> MgCl2 + H2
b.........................................b
nH2 = 5,6 / 22,4 = 0,25 (mol)
The đề ra, ta có hệ phương trình:
\(\begin{cases}27a+24b=5,1\\1,5a+b=0,25\end{cases}\)=> \(\begin{cases}a=0,1\\b=0,1\end{cases}\)
=> mAl = 0,1 x 27 = 2,7 gam
mMg = 0,1 x 24 = 2,4 gam
=> %mAl = \(\frac{2,7}{5,1}.100\%=52,94\%\)
%mMg = 100% - 52,94% = 46,06%
b/ Tổng số mol của HCl = 0,3 + 0,2 = 0,5 mol
=> mHCl = 0,5 x 36,5 = 18,25 gam
c/ Áp dụng định luật bảo toàn khối lượng, ta có
mhỗn hợp muối = mkim loại + mHCl - mH2
= 5,1 + 18,25 - 0,25 x 2 = 22,85 gam
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) => \(\left\{{}\begin{matrix}a=\dfrac{161}{825}\left(mol\right)\\b=\dfrac{57}{275}\left(mol\right)\end{matrix}\right.\)
=> \(x=\dfrac{161}{825}.27+\dfrac{57}{275}.65=\dfrac{5154}{275}\left(g\right)\)
\(m_{H_2SO_4\left(dư\right)}=m_{Al_2\left(SO_4\right)_3}=342.0,5\dfrac{161}{825}=\dfrac{9177}{275}\left(g\right)\)
=> \(m_{H_2SO_4\left(bđ\right)}=98\left(1,5a+b\right)+\dfrac{9177}{275}=\dfrac{22652}{275}\left(g\right)\)
=> \(y=\dfrac{\dfrac{22652}{275}.100}{10}=\dfrac{45304}{55}\left(g\right)\)
a) Gọi số mol của Mg là x, của Al là y \(\left(x,y>0\right)\)
Ta có: \(24x+27y=7,8\) (*)
PTHH:
\(Mg+H_2SO_4\rightarrow MgSO_4+H_2\uparrow\) (1)
\(2Al+3H_2SO_4\rightarrow Al_2\left(SO_4\right)_3+3H_2\uparrow\) (2)
\(n_{H_2\left(1\right)+\left(2\right)}=\dfrac{9,916}{24,79}=0,4\left(mol\right)\)
Theo PTHH: \(n_{H_2\left(1\right)}=n_{Mg}=x\left(mol\right)\); \(n_{H_2\left(2\right)}=\dfrac{3}{2}n_{Al}=\dfrac{3}{2}y\left(mol\right)\)
\(\Rightarrow x+\dfrac{2}{3}y=0,4\) (**)
Từ (*) và (**) ta có hệ:
\(\left\{{}\begin{matrix}24x+27y=7,8\\x+\dfrac{3}{2}y=0,4\end{matrix}\right.\)
Giải hệ ta được: \(\left\{{}\begin{matrix}x=0,1\\y=0,2\end{matrix}\right.\)
\(\Rightarrow\%m_{Al}=\dfrac{27\cdot0,2\cdot100}{7,8}\approx69\%\)
\(\Rightarrow\%m_{Mg}=100\%-69\%=21\%\)
b) \(n_{MgSO_4}=n_{Mg}=0,1\left(mol\right)\); \(n_{Al_2\left(SO_4\right)_3}=\dfrac{1}{2}n_{Al}=0,1\left(mol\right)\)
Tổng khối lượng muối là:
\(m_{MgSO_4}+m_{Al_2\left(SO_4\right)_3}=0,1\cdot120+0,1\cdot342=46,2\)
bổ xung đv dòng cuối