- 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 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:

\(a.m_{H_2SO_4}=29,4.10\%=2,94\left(g\right)\\ b.n_{H_2SO_4}=\dfrac{2,94}{98}=0,03\left(mol\right)\\ n_{Fe}=\dfrac{0,56}{56}=0,01\left(mol\right)\\ Fe+H_2SO_4\rightarrow FeSO_4+H_2\\ Vì:\dfrac{0,01}{1}< \dfrac{0,03}{1}\Rightarrow H_2SO_4dư\\ n_{H_2SO_4\left(dư\right)}=0,03-0,01=0,02\left(mol\right)\\ m_{H_2SO_4\left(dư\right)}=0,02.98=1,96\left(g\right)\\ n_{H_2}=n_{Fe}=0,01\left(mol\right)\\ \Rightarrow V_{H_2\left(đktc\right)}=0,01.22,4=0,224\left(l\right)\)

Lấy khoảng 100 – 120 ml nước cất cho vào bình thể tích 200 ml có chia vạch, sau đó cho từ từ 20 gam dung dịch H₂SO₄ đặc hoặc đong 10,87 ml dung dịch H₂SO₄, đợi dung dịch H₂SO₄ thật nguội.

Tiếp theo đong 40 ml dung dịch HCl 5M thêm vào bình, cuối cùng thêm nước cất vào cho đến vạch 200 ml.

a, Ta có: 27n_Al + 56n_Fe = 27,8 (1)

PT: \(2Al+3H_2SO_4\rightarrow Al_2\left(SO_4\right)_3+3H_2\)

\(Fe+H_2SO_4\rightarrow FeSO_4+H_2\)

Theo PT: \(n_{H_2}=\dfrac{3}{2}n_{Al}+n_{Fe}=\dfrac{17,353}{24,79}=0,7\left(mol\right)\left(2\right)\)

Từ (1) và (2) \(\Rightarrow\left\{{}\begin{matrix}n_{Al}=0,2\left(mol\right)\\n_{Fe}=0,4\left(mol\right)\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}\%m_{Al}=\dfrac{0,2.27}{27,8}.100\%\approx19,42\%\\\%m_{Fe}\approx80,58\%\end{matrix}\right.\)

b, \(n_{H_2SO_4}=n_{H_2}=0,7\left(mol\right)\Rightarrow C_{M_{H_2SO_4}}=\dfrac{0,7}{0,5}=1,4\left(M\right)\)

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) 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) => \(\left\{{}\begin{matrix}a=\dfrac{161}{825}\left(mol\right)\\b=\dfrac{57}{275}\left(mol\right)\end{matrix}\right.\)

=> \(x=\dfrac{161}{825}.27+\dfrac{57}{275}.65=\dfrac{5154}{275}\left(g\right)\)

\(m_{H_2SO_4\left(dư\right)}=m_{Al_2\left(SO_4\right)_3}=342.0,5\dfrac{161}{825}=\dfrac{9177}{275}\left(g\right)\)

=> \(m_{H_2SO_4\left(bđ\right)}=98\left(1,5a+b\right)+\dfrac{9177}{275}=\dfrac{22652}{275}\left(g\right)\)

=> \(y=\dfrac{\dfrac{22652}{275}.100}{10}=\dfrac{45304}{55}\left(g\right)\)

\(Mg + H_2SO_4 \to MgSO_4 + H_2\\ 2Al + 3H_2SO_4 \to Al_2(SO_4)_3 + 3H_2\\ Zn + H_2SO_4 \to ZnSO_4 + H_2\\ n_{H_2} = n_{H_2SO_4} = a(mol)\\ \text{Bảo toàn khối lượng : }\\ 20 + 98a = 58,4 + 2a\\ \Rightarrow a = 0,4\\ \Rightarrow V_1 = \dfrac{0,4}{0,5} = 0,8(lít) = 800(ml)\\ V_2 = 0,4.22,4 = 8,96(lít)\)