áp dụng quy tắc đường chéo

0,3l dd H2SO4 2M-----------------x-1 (M)

------------------------- x(M)

0,2l dd H2SO4 1M------------------2-x (M)

trong đó x là nồng độ mol của dd H2SO4 THU ĐƯỢC

=> \(\dfrac{0,3}{0,2}=\dfrac{3}{2}=\dfrac{x-1}{2-x}\)

giải PT=> x=1,6 (M)

+) Ta có: \(V_{ddH_2SO_4\left(1\right)}=300\left(ml\right)=0,3\left(l\right)\\ V_{ddH_2SO_4\left(2\right)}=200\left(ml\right)=0,2\left(l\right)\)

=> \(n_{H_2SO_4\left(1\right)}=0,3.2=0,6\left(mol\right)\\ n_{H_2SO_4\left(2\right)}=0,2.1=0,2\left(mol\right)\)

=> Nồng độ mol của dung dịch H₂SO₄ sau trộn:

\(C_{MddH_2SO_4\left(mới\right)}=\dfrac{0,6+0,2}{0,3+0,2}=1,6\left(M\right)\)

\(n_{NaOH}=0,02.2=0,04\left(mol\right)\\ 2NaOH+H_2SO_4\rightarrow Na_2SO_4+2H_2O\\ a.n_{H_2SO_4}=n_{Na_2SO_4}=\dfrac{0,04}{2}=0,02\left(mol\right)\\ C_{MddH_2SO_4}=\dfrac{0,02}{0,08}=0,25\left(M\right)\\ b.\left[Na^+\right]=\dfrac{0,02.2}{0,02+0,08}=0,4\left(M\right)\\ \left[SO^{2-}_4\right]=\dfrac{0,02}{0,02+0,08}=0,2\left(M\right)\)

\(n_{NaOH}=0,2.1=0,2\left(mol\right)\\ n_{H_2SO_4}=0,3.1,5=0,45\left(mol\right)\)

\(2NaOH+H_2SO_4\rightarrow Na_2SO_4+2H_2O\)

0,2------->0,1--------->0,1

Xét \(\dfrac{0,2}{2}< \dfrac{0,45}{1}\Rightarrow\) \(H_2SO_4\)dư

Trong dung dịch D có:

\(\left\{{}\begin{matrix}n_{H_2SO_4}=0,45-0,1=0,35\left(mol\right)\\n_{Na_2SO_4}=0,1\left(mol\right)\end{matrix}\right.\)

\(\Rightarrow\left\{{}\begin{matrix}CM_{H_2SO_4}=\dfrac{0,35}{0,5}=0,7M\\CM_{Na_2SO_4}=\dfrac{0,1}{0,5}=0,2M\end{matrix}\right.\)

b

\(Ca\left(OH\right)_2+H_2SO_4\rightarrow CaSO_4+2H_2O\)

0,35<---------0,35

\(V_{Ca\left(OH\right)_2}=\dfrac{0,35.74}{1,2}=\dfrac{259}{12}\approx21,58\left(ml\right)\\ \Rightarrow V_{dd.Ca\left(OH\right)_2}=\dfrac{\dfrac{259}{12}.100\%}{10\%}=\dfrac{1295}{6}\approx215,83\left(ml\right)\)

+) Ta có:

 `V(dd(H_2SO_4)(1))=300(ml)=0,3(l)`

`V(dd(H_2SO_4)(2))=200(ml)=0,2(l)`

`=> n_((H_2SO_4)(1))=0,3.2=0,6(mol)`

 `->n_((H_2SO_4)(2))=0,2.1=0,2(mol)`

=> Nồng độ mol của dung dịch H2SO4 sau trộn:

`CM_(ddH2SO4(mới))=((0,6+0,2)/(0,3+0,2))=1,6M`

`#BTrancuato<3`

\(n_{H_2SO_4\left(2M\right)}=0,15.2=0,3\left(mol\right)\)

\(n_{H_2SO_4\left(3M\right)}=0,15.3=0,45\left(mol\right)\)

\(n_{H_2SO_4\left(B\right)}=0,3+0,45=0,75\left(mol\right)\)

\(\Rightarrow C_{M_{ddB}}=\dfrac{0,75}{0,2}=3,75M\)

\(n_{H_2SO_4\left(tổng\right)}=0,15.2+0,05.3=0,45\left(mol\right)\\ V_{ddH_2SO_4\left(tổng\right)}=150+50=200\left(ml\right)=0,2\left(l\right)\\ C_{MddH_2SO_4\left(sau\right)}=C_{MddB}=\dfrac{0,45}{0,2}=2,25\left(M\right)\)

\(n_{ }_{NAOH}=0.2.1=0.2mol\)

\(n_{H_2sõ_4}=0.2.2=0.4mol\)

\(OH^-+H^+\rightarrow H_20\)

0.2 0.8

\(NAOH\rightarrow Na^++OH^-\)

0.2 0.2

\(H_2SO_4\rightarrow2H^++SO^{2-}_4\)

0.4 0.4

\(\left[Na^+\right]=\frac{0.2}{0.4}=0.5M\)

\(\left[SO^{2-}_4\right]=\frac{0.4}{0.4}=1M\)

\(\left[H^+_{dư}\right]=\frac{0,6}{0,4}=1.5M\)