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Ban đầu:\(n_{H^+}=n_{HCl}+2n_{H_2SO_4}=0,25.\left(0,08+2.0,01\right)=0,025\left(mol\right)\)
\(n_{OH^-}=2n_{Ba\left(OH\right)_2}=0,25a.2=0,5a\)
\(n_{Ba^{2+}}=n_{Ba\left(OH\right)_2}=0,25a\); \(n_{SO_4^{2-}}=n_{H_2SO_4}=0,0025\left(mol\right)\)
Dung dịch sau phản ứng có pH = 12 => pOH = 2
\(\Rightarrow\left[OH^-\right]=10^{-2}=0,01\left(M\right)\Rightarrow n_{OH^-}=0,01.0,5=0,005\left(mol\right)\)Vì pH = 12 > 7 nên \(H^+\) hết, \(OH^-\) còn.
\(H^++OH^-\rightarrow H_2O\)
0,025-->0,025
=> \(n_{OH^-}\text{còn}=0,5a-0,025=0,005\Rightarrow a=0,06\left(mol\text{/}l\right)\)
Từ đó suy ra được \(n_{Ba^{2+}}=0,25.0,06=0,015\left(mol\right)\)
\(Ba^{2+}+SO_4^{2-}\rightarrow BaSO_4\downarrow\)
0,0025<--0,0025
=> \(m=m_{BaSO_4}=0,0025.233=0,5825\left(gam\right)\)
\(a.n_{HCl}=0,1.1=0,1\left(mol\right)\\ n_{H_2SO_4}=0,5.0,1=0,05\left(mol\right)\\ \left[HCl\right]=\dfrac{0,1}{0,1+0,1}=0,5\left(M\right)\\ \left[H_2SO_4\right]=\dfrac{0,05}{0,1+0,1}=0,25\left(M\right)\\ \left[H^+\right]=0,5+0,25.2=1\left(M\right)\\ \left[SO^{2-}_4\right]=\left[H_2SO_4\right]=0,25\left(M\right)\\ \left[Cl^-\right]=\left[HCl\right]=0,5\left(M\right)\)
\(b.BaCl_2+H_2SO_4\rightarrow BaSO_4\downarrow+2HCl\\ n_{BaSO_4}=n_{H_2SO_4}=0,05\left(mol\right)\\ m_{\downarrow}=m_{BaSO_4}=233.0,05=11,65\left(g\right)\)
\(a.n_{NaOH}=1.0,15=0,15\left(mol\right)\\ n_{KOH}=0,5.0,1=0,05\left(mol\right)\\ \left[Na^+\right]=\left[NaOH\right]=\dfrac{0,15}{0,15+0,1}=0,6\left(M\right)\\ \left[K^+\right]=\left[KOH\right]=\dfrac{0,05}{0,1+0,15}=0,2\left(M\right)\\ \left[OH^-\right]=0,2+0,6=0,8\left(M\right)\\ b.2KOH+H_2SO_4\rightarrow K_2SO_4+2H_2O\\ 2NaOH+H_2SO_4\rightarrow Na_2SO_4+2H_2O\\ n_{H_2SO_4}=\dfrac{1}{2}.\left(n_{KOH}+n_{NaOH}\right)=\dfrac{0,15+0,05}{2}=0,1\left(mol\right)\\ a=C_{MddH_2SO_4}=\dfrac{0,1}{0,2}=0,5\left(M\right)\)
\(n_{H^+}=n_{HNO_3}=V\)mol
\(n_{OH^-}=n_{NaOH}=0,5.0,2=0,1\) mol
\(H^++OH^-\rightarrow H_2O\)
0,1<--0,1
\(\Rightarrow n_{H^+}=V=0,1\)lít = 100 ml
\(NaOH+HNO_3\rightarrow NaNO_3+H_2O\)
0,1 -----> 0,1 ---------->0,1
\(NaNO_3\rightarrow Na^++NO_3^-\)
\(\Rightarrow\left[Na^+\right]=\left[NO_3^-\right]=\dfrac{0,1}{0,1+0,2}=0,33M\)
\(a.n_{NaOH}=\dfrac{20}{40}=0,5\left(mol\right)\\ \left[Na^+\right]=\left[OH^-\right]=\left[NaOH\right]=\dfrac{0,5}{0,5}=1\left(M\right)\\ b.HCl+NaOH\rightarrow NaCl+H_2O\\ n_{HCl}=n_{NaOH}=0,5\left(mol\right)\\ V_{ddHCl}=\dfrac{0,5}{2}=0,25\left(l\right)\)
\(a.\left[H^+\right]=2.0,1=0,2\left(M\right)\\ \left[SO^{2-}_4\right]=\left[H_2SO_4\right]=0,1\left(M\right)\\ b.\left[Ba^{2+}\right]=\left[BaCl_2\right]=0,2\left(M\right)\\ \left[Cl^-\right]=2.0,2=0,4\left(M\right)\\ c.\left[Ca^{2+}\right]=\left[Ca\left(OH\right)_2\right]=0,1\left(M\right)\\ \left[OH^-\right]=0,1.2=0,2\left(M\right)\)
\(a)n_{Ba\left(OH\right)_2}=0,05\cdot0,2\cdot2=0,02mol\\ pH=1\Rightarrow\left[OH^-\right]=0,1M\Rightarrow n_{HCl}=0,1\cdot0,3=0,03mol\\ n_{Ba\left(OH\right)_2}+n_{HCl}=0,02+0,03=0,05mol\\ \Rightarrow C_M=\dfrac{0,05}{0,5}=0,1M\Rightarrow pH=1\)