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\(m_{dd}=50+35=85\left(g\right)\\ m_{ct}=\left(\dfrac{50.35}{100}\right)+\left(\dfrac{35.8}{100}\right)=20,3\left(g\right)\\ C\%=\dfrac{20,3}{85}.100\%=23,88\left(g\right)\)
\(\text{1)}m_{KOH}=40.35\%=14\left(g\right)\\ \rightarrow n_{KOH}=\dfrac{14}{56}=0,25\left(mol\right)\\ PTHH:KOH+HCl\rightarrow KCl+H_2O\\ \text{Theo pthh}:n_{HCl}=n_{KOH}=0,25\left(mol\right)\\ \rightarrow V_{ddHCl}=0,25.0,5=0,125\left(l\right)\)
\(\text{2)}n_{Al}=\dfrac{4,05}{27}=0,15\left(mol\right)\\ n_{H_2SO_4}=200.14,7\%=29,4\left(g\right)\\ \rightarrow n_{H_2SO_4}=\dfrac{29,4}{98}=0,3\\ \text{PTHH}:2Al+3H_2SO_4\rightarrow Al_2\left(SO_4\right)_3+3H_2\uparrow\\ \text{LTL}:\dfrac{0,15}{2}< \dfrac{0,3}{3}\rightarrow H_2SO_4\text{ dư}\)
\(\text{Theo pthh}:\left\{{}\begin{matrix}n_{H_2SO_4\left(pư\right)}=\dfrac{3}{2}n_{Al}=\dfrac{3}{2}.0,15=0,225\left(mol\right)\\n_{H_2}=n_{H_2SO_4\left(pư\right)}=0,225\left(mol\right)\\n_{Al_2\left(SO_4\right)_3}=\dfrac{1}{2}n_{Al}=\dfrac{1}{2}.0,15=0,075\left(mol\right)\end{matrix}\right.\\ \rightarrow m_{dd\left(\text{sau phản ứng}\right)}=200+4,05-0,3.2=203,45\left(g\right)\)
\(\rightarrow\left\{{}\begin{matrix}C\%_{H_2SO_4\text{ dư}}=\dfrac{\left(0,3-0,225\right).98}{203,45}=3,61\%\\C\%_{Al_2\left(SO_4\right)_3}=\dfrac{342.0,075}{203,45}=12,61\%\end{matrix}\right.\)
Bài 9:
\(n_{Zn}=\dfrac{6,5}{65}=0,1\left(mol\right)\\ n_{HCl}=\dfrac{14,6\%.100}{36,5}=0,4\left(mol\right)\\ PTHH:Zn+2HCl\rightarrow ZnCl_2+H_2\\ Vì:\dfrac{0,1}{1}< \dfrac{0,4}{2}\Rightarrow HCldư\\ n_{HCl\left(dư\right)}=0,4-2.0,1=0,2\left(mol\right)\\ m_{HCl\left(dư\right)}=0,2.36,5=7,3\left(g\right)\)
\(m_{dd_{HCl\left(10\%\right)}}=150\cdot1.206=180.9\left(g\right)\)
\(n_{HCl}=\dfrac{180.9\cdot10\%}{36.5}\approx0.5\left(mol\right)\)
\(n_{HCl\left(2M\right)}=0.25\cdot2=0.5\left(mol\right)\)
\(n_{HCl}=0.5+0.5=1\left(mol\right)\)
\(V_{dd_{HCl}}=150+250=400\left(ml\right)=0.4\left(l\right)\)
\(C_{M_{HCl}}=\dfrac{1}{0.4}=2.5\left(M\right)\)
\(m_{HCl\left(1\right)}=600.2,5\%=15g\\ m_{HCl\left(2\right)}=400.15\%=60g\\ C\%_{HCl.sau}=\dfrac{75}{1000}\cdot100\%=7,5\%\)
1) Ta có: \(m_{H_2SO_4}=200\cdot15\%+300\cdot25\%=105\left(g\right)\)
\(\Rightarrow C\%_{H_2SO_4}=\dfrac{105}{200+300}\cdot100\%=21\%\)
2) Ta có: \(\left\{{}\begin{matrix}n_{H_2SO_4}=\dfrac{105}{98}=\dfrac{15}{14}\left(mol\right)\\V_{ddH_2SO_4}=\dfrac{500}{1,25}=400\left(ml\right)\end{matrix}\right.\) \(\Rightarrow C_{M_{H_2SO_4}}=\dfrac{\dfrac{15}{14}}{0,4}\approx2,68\left(M\right)\)
\(m_{HCl3\%}=\dfrac{500.3}{100}=15\left(g\right)\)
\(m_{HCl10\%}=\dfrac{300.10}{100}=30\left(g\right)\)
\(C\%=\dfrac{15+30}{500+300}.100\%=5,625\%\)
Vậy ta được dd mới có nồng độ 5,625%