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\(n_{NaOH}=0.25\cdot2=0.5\left(mol\right)\)
\(n_{H_2SO_4}=0.25\cdot1=0.25\left(mol\right)\)
\(2NaOH+H_2SO_4\rightarrow Na_2SO_4+H_2O\)
\(0.5..............0.25................0.25\)
\(\left[Na^+\right]=\dfrac{0.25\cdot2}{0.25+0.25}=1\left(M\right)\)
\(\left[SO_4^{2-}\right]=\dfrac{0.25}{0.25+0.25}=0.5\left(M\right)\)
\(n_{HNO_3}=0.25\cdot2=0.5\left(mol\right)\)
\(n_{Ca\left(OH\right)_2}=0.25\cdot1=0.25\left(mol\right)\)
\(Ca\left(OH\right)_2+2HNO_3\rightarrow Ca\left(NO_3\right)_2+2H_2O\)
\(0.25...............0.5.................0.25\)
\(\left[Ca^{2+}\right]=\dfrac{0.25}{0.25+0.25}=0.5\left(M\right)\)
\(\left[NO_3^-\right]=\dfrac{0.25\cdot2}{0.25+0.25}=1\left(M\right)\)
a)
$KOH + HCl \to KCl + H_2O$
$n_{KOH} = 0,3(mol) < n_{HCl} = 1,05(mol)$ nên HCl dư
$n_{HCl\ dư} = 1,05 -0 ,3 = 0,75(mol)$
$n_{KCl} = n_{KOH} = 0,3(mol)$
$V_{dd} = 0,3+ 0,7 = 1(lít)$
Suy ra :
$[K^+] = \dfrac{0,3}{1} = 0,3M$
$[Cl^-] = \dfrac{0,75 + 0,3}{1} = 1,05M$
$[H^+] = \dfrac{0,75}{1} = 0,75M$
b)
$Ba(OH)_2 + 2HCl \to BaCl_2 + 2H_2O$
$n_{Ba(OH)_2} = \dfrac{1}{2}n_{HCl} = 0,375(mol)$
$V_{Ba(OH)_2} = \dfrac{0,375}{1,5} = 0,25(lít)$
\(n_{KOH}=0.3\cdot1=0.3\left(mol\right)\)
\(n_{HCl}=0.7\cdot1.5=1.05\left(mol\right)\)
\(KOH+HCl\rightarrow KCl+H_2O\)
\(0.3...........0.3..........0.3\)
Dung dịch D gồm : 0.3 (mol) KCl , 0.75 (mol) HCl dư
\(\left[K^+\right]=\dfrac{0.3}{0.3+0.7}=0.3\left(M\right)\)
\(\left[Cl^-\right]=\dfrac{0.3+0.75}{0.3+0.7}=1.05\left(M\right)\)
\(\left[H^+\right]=\dfrac{0.75}{0.3+0.7}=0.75\left(M\right)\)
\(Ba\left(OH\right)_2+2HCl\rightarrow BaCl_2+2H_2O\)
\(0.375..................0.75\)
\(V_{dd_{Ba\left(OH\right)_2}}=\dfrac{0.375}{1.5}=0.25\left(l\right)\)
\(n_{HCl}=Cm.V=1.0,1=1mol\)
\(n_{H_2SO_4}=Cm.V=0,5.0,1=0,05mol\)
Thể thích của dd D là 200ml = 0,2l
\([H^+]=\frac{n_{HCl}+2.n_{H_2SO_4}}{V}=\frac{0,1+0,1}{0,2}=1M\)
\([Cl^-]=\frac{n_{HCl}}{V}=\frac{0,1}{0,2}=0,5M\)
\([SO_4^{2-}]=\frac{n_{H_2SO_4}}{V}=\frac{0,05}{0,2}=0,25M\)
Khi cho dd D vào \(Ba\left(OH\right)_2\) chỉ có \(H_2SO_4\) tác dụng, tạo kết tủa
\(H_2SO_4+Ba\left(OH\right)_2\rightarrow BaSO_4+2H_2O\)
\(0,05....\rightarrow0,05mol\)
\(\rightarrow m_{BaSO_4}=n.M=0,05.233=11,65g\)
a) \(n_{NaOH}=0,2.1=0,2\left(mol\right)\); \(n_{HNO_3}=0,2.0,5=0,1\left(mol\right)\)
\(NaOH+HNO_3\rightarrow NaNO_3+H_2O\)
0,2.............0,1
Lập tỉ lệ : \(\dfrac{0,2}{1}>\dfrac{0,1}{1}\) => Sau phản ứng NaOH dư
Dung dịch D gồm NaNO3 và NaOH dư
\(n_{NaNO_3}=n_{HNO_3}=0,1\left(mol\right)\)
\(n_{NaOH\left(pứ\right)}=n_{HNO_3}=0,1\left(mol\right)\)
\(n_{NaOH\left(dư\right)}=0,2-0,1=0,1\left(mol\right)\)
Ion trong dung dịch D : Na+ , NO3-, OH-
\(\left[Na^+\right]=\dfrac{0,1+0,1}{0,2}=1M\)
\(\left[NO_3^-\right]=\dfrac{0,1}{0,2}=0,5M\)
\(\left[OH^-\right]=\dfrac{0,1}{0,2}=0,5M\)
b)Trong dung dịch D chỉ có NaOH dư phản ứng
\(2NaOH+H_2SO_4\rightarrow Na_2SO_4+H_2O\)
0,1................0,05
=> \(V_{H_2SO_4}=\dfrac{0,05}{1}=0,05\left(l\right)\)
\(n_{KOH}=0.1\cdot1=0.1\left(mol\right)\)
\(n_{H_2SO_4}=0.3\cdot0.5=0.15\left(mol\right)\)
\(2KOH+H_2SO_4\rightarrow K_2SO_4+H_2O\)
\(0.1..........0.05...............0.05\)
Dung dịch D : 0.05 (mol) K2SO4 , 0.1 (mol) H2SO4
\(\left[K^+\right]=\dfrac{0.05\cdot2}{0.1+0.3}=0.25\left(M\right)\)
\(\left[H^+\right]=\dfrac{0.1\cdot2}{0.1+0.3}=0.5\left(M\right)\)
\(\left[SO_4^{2-}\right]=\dfrac{0.05+0.1}{0.1+0.3}=0.375\left(M\right)\)
\(2NaOH+H_2SO_4\rightarrow K_2SO_4+H_2O\)
\(0.2..................0.1\)
\(V_{dd_{NaOH}}=\dfrac{0.2}{1}=0.2\left(l\right)\)