\(b.n_{NaOH\left(tổng\right)}=0,4.0,5+\dfrac{100.1,33.20\%}{40}=0,865\left(mol\right)\\ \left[Na^+\right]=\left[OH^-\right]=\left[NaOH\left(sau\right)\right]=\dfrac{0,865}{0,4+0,1}=1,73\left(M\right)\\ c.n_{HCl}=0,05.0,12=0,006\left(mol\right)\\ n_{HNO_3}=0,15.0,1=0,015\left(mol\right)\\ \left[H^+\right]=\dfrac{0,006+0,015}{0,05+0,15}=0,105\left(M\right)\\ \left[NO^-_3\right]=\dfrac{0,015}{0,05+0,15}=0,075\left(M\right)\\ \left[Cl^-\right]=\dfrac{0,006}{0,05+0,15}=0,03\left(M\right)\)

\(d.n_{H_2SO_4}=0,4.0,05=0,02\left(mol\right)\\ n_{HCl}=0,35.0,2=0,07\left(mol\right)\\ \left[H^+\right]=\dfrac{0,02.2+0,07}{0,05+0,35}=0,275\left(M\right)\\ \left[SO^{2-}_4\right]=\dfrac{0,02}{0,05+0,35}=0,05\left(M\right)\\ \left[Cl^-\right]=\dfrac{0,07}{0,05+0,35}=0,175\left(M\right)\\ f.n_{KOH}=\dfrac{20.1,31.32\%}{56}=\dfrac{131}{875}\left(mol\right)\\ n_{Ba\left(OH\right)_2}=0,08.1=0,08\left(mol\right)\\ \left[OH^-\right]=\dfrac{\dfrac{131}{875}+0,08.2}{0,02+0,08}=\dfrac{542}{175}\left(M\right)\\ \left[Ba^{2+}\right]=\dfrac{0,08}{0,02+0,08}=0,8\left(M\right)\)

\(\left[K^+\right]=\dfrac{\dfrac{131}{875}}{0,02+0,08}=\dfrac{262}{175}\left(M\right)\)

Gọi C_%(Y)=x (%)

Áp dụng quy tắc đường chéo ta có

200g dd NaOH 10%                           20 - x

                                                  x

300g dd NaOH 20%                              x-10

=>\(\frac{200}{300}\)= \(\frac{20-x}{x-10}\)

=> x=16 (%)

Vậy nồng đọ % của dd Y là 16%

NaOH + HCl \(\rightarrow\)NaCl + H₂O

m_HCl=\(450.\dfrac{7,3}{100}=32,85\left(g\right)\)

n_HCl=\(\dfrac{32,85}{36,5}=0,9\left(mol\right)\)

m_NaOH=\(300.\dfrac{4}{100}=12\left(g\right)\)

n_NaOH=\(\dfrac{12}{40}=0,3\left(mol\right)\)

Vì 0,3<0,9 nên HCl dư 0,6 mol

Theo PTHH ta có:

n_NaOH=n_NaCl=0,3(mol)

m_NaCl=0,3.58,5=17,55(g)

m_HCl=36,5.0,6=21,9(g)

C % NaCl=\(\dfrac{17,55}{450+300}.100\%=2,34\%\)

C% HCl=\(\dfrac{21,9}{450+300}.100\%=2,92\%\)

C1 \(m_{dd}\left(sau.khi.tron\right)=40+60=100g\)

Tổng mNaOH sau khi trộn : \(60.20\%+40.15\%=18\)

\(\Rightarrow C\%_{ddNaOH}\left(sau\right)=\dfrac{18}{100}.100=18\%\).

C2

\(m_{ctNaOH}\left(1\right)=\dfrac{60.20}{100}=1,2\left(g\right)\)

\(m_{ctNaOH}\left(2\right)=\dfrac{40.15}{100}=6\left(g\right)\)

Khi trộn lại :

\(m_{ct}=1,2+6=7,2\left(g\right)\)

Lúc đó thì mdd chính là khối lượng dung dịch NaOH (2)

\(C\%_{dd}\left(thu.duoc\right)=\dfrac{7,2}{40}.100=18\%\)

cách 1 :

Theo đề bài ta có :

Khối lượng chất tan NaOH có trong DD 1 là :

mct1=mNaOH=\(\dfrac{m\text{dd}.C\%}{100\%}=\dfrac{60.20\%}{100\%}\)=12 (g)

Khối lượng của chất tan NaOH có trong DD 2 là :

mct2=mNaOH=\(\dfrac{m\text{dd}.C\%}{100\%}=\dfrac{40.15\%}{100\%}=6\left(g\right)\)

=> Khối lượng chất tan có trong DD sau khi trộn là :

mct3=mct1+mct2 = 12 + 6 = 18 (g)

Khối lượng DD sau khi trộn là :

mdd3 = mdd1 + mdd2 = 60 + 40 =100 g

=> C%(dd sau khi trộn ) =\(\dfrac{mct3}{m\text{dd}3}.100\%=\dfrac{18}{100}.100\%=18\%\)

Cách 2 :

Ta có

C%dd1 = 20%

C% dd2 = 15%

=> C%dd3 (sau khi trộn ) = \(\dfrac{C\%\text{dd}1+C\%\text{dd}2}{2}=\dfrac{35}{2}\approx18\%\)

cách 2 ko bt đúng hay sai

\(a.\)

\(m_{NaCl}=130\cdot10\%=13\left(g\right)\)

\(m_{dd_{NaCl}}=20+130=150\left(g\right)\)

\(C\%_{NaCl}=\dfrac{20+13}{150}\cdot100\%=22\%\)

\(b.\)

\(C\%=\dfrac{S}{S+100}\cdot100\%=\dfrac{200}{200+100}\cdot100\%=66.67\%\)

\(c.\)

\(C_{M_{NaOH}}=\dfrac{0.2\cdot2+0.3\cdot1}{0.2+0.3}=1.4\left(M\right)\)

\(n_{CuSO4}=\dfrac{16\%.50}{100\%.160}=0,05\left(mol\right)\)

Pt : \(CuSO_4+2NaOH\rightarrow Cu\left(OH\right)_2+Na_2SO_4\)

       0,05-------->0,1---------->0,05--------->0,05

a) \(C\%_{ddNaOH}=\dfrac{0,1.40}{250}.100\%=1,6\%\)

b) \(m_{ddspu}=50+250-0,05.98=295,1\left(g\right)\)

\(C\%_{Na2SO4}=\dfrac{0,05.142}{295,1}.100\%=2,41\%\)

\(n_{CuSO_4}=\dfrac{m_{dd}\cdot C\%}{100\cdot M}=\dfrac{50\cdot16\%}{100\cdot\left(64+32+16\cdot4\right)}=0,05\left(mol\right)\)

\(PTHH:CuSO_4+2NaOH\rightarrow Cu\left(OH\right)_2+Na_2SO_4\)

                     1                  2                    1                    1

                   0,05              0,1                 0,05               0,05 (mol)

\(a)C\%_{NaOH}=\dfrac{n\cdot100\cdot M}{m_{dd}}=\dfrac{01\cdot100\cdot\left(23+16+1\right)}{250}=1,6\%\)

\(b)m_{dd-sau-pư}=m_{dd_đ}+m_{ct_đ}-m\downarrow-m\uparrow\)

\(=50+250-\left(0,05\cdot23+32+16\cdot4\right)=294,05\left(g\right)\)

\(C\%_{Na_2SO_4}=\dfrac{n\cdot100\cdot M}{m_{dd}}=\dfrac{0,05\cdot100\cdot\left(23\cdot2+32+16\cdot4\right)}{294,05}\approx2,41\%.\)

nCuSO4​=100%.16016%.50​=0,05(mol)

Pt : ����4+2����→��(��)2+��2��4CuSO4​+2NaOH→Cu(OH)2​+Na2​SO4​

       0,05-------->0,1---------->0,05--------->0,05

a) �%������=0,1.40250.100%=1,6%C%ddNaOH​=2500,1.40​.100%=1,6%

b) ������=50+250−0,05.98=295,1(�)mddspu​=50+250−0,05.98=295,1(g)

�%��2��4=0,05.142295,1.100%=2,41%C%Na2SO4​=295,10,05.142​.100%=2,41%

ta có:

\(\dfrac{100}{m_2}\) = \(\dfrac{20-17,5}{17,5-8}\)

=> m₂ = 380 g