Tính \(m_{CuSO_4.5H_2O}\) cần cho vào 200 g nước để thu được dung dịch có \(C\%=30\) .
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\(a,m_{ct}=30\left(g\right)\\ m_{dm}=120\left(g\right)\\ m_{dd}=120+30=150\left(g\right)\\ b,C\%_{đường}=\dfrac{30}{150}.100\%=20\%\\ c,C\%_{đường}=\dfrac{30}{150+50}.100\%=15\%\)
\(d,m_{dd}=\dfrac{30}{10\%}=300\left(g\right)\\ m_{H_2O\left(thêm\right)}=300-150=150\left(g\right)\)
e, Gọi \(m_{đường\left(thêm\right)}=a\left(g\right)\)
\(\Rightarrow C\%=\dfrac{30+a}{150+a}.100\%=30\%\\ \Leftrightarrow a=21,4285\left(g\right)\)
\(a.m_{ddNaCl}=\dfrac{15}{5}\cdot100=300g\\ b.m_{nước}+m_{muối}=m_{dd,muối}\\ \Rightarrow m_{nước}=m_{dd,muối}-m_{muối}\\ =300-15\\ =285g\)
a, \(n_K=\dfrac{3,9}{39}=0,1\left(mol\right)\)
PTHH: 2K + 2H2O ---> 2KOH + H2
0,1---------------->0,1----->0,05
\(m_{ct}=m_{KOH}=0,1.56=5,6\left(g\right)\\ m_{dd}=m_K+m_{H_2O}-m_{H_2}=96,2+3,9-0,05.2=100\left(g\right)\)
\(C\%_{KOH}=\dfrac{5,6}{100}.100\%=5,6\%\\ b,m_{dd}=100+50=150\left(g\right)\\ C\%_{KOH}=\dfrac{5,6}{150}.100\%=3,37\%\)
c, Gọi \(m_{H_2O}=a\left(g\right)\)
\(\Rightarrow C\%_{KOH}=\dfrac{5,6}{100+a}.100\%=2,8\%\\ \Leftrightarrow a=100\left(g\right)\)
d, Gọi \(m_{KOH}=a\left(g\right)\)
\(\Rightarrow C\%_{KOH}=\dfrac{5,6+a}{100+a}.100\%=22,4\%\\ \Leftrightarrow a=21,65\left(g\right)\)
a, \(2Na+2H_2O\rightarrow2NaOH+H_2\)
Ta có: \(n_{Na}=\dfrac{2,3}{23}=0,1\left(mol\right)\)
\(n_{H_2O}=\dfrac{200}{18}=\dfrac{100}{9}\left(mol\right)\)
Xét tỉ lệ: \(\dfrac{0,1}{2}< \dfrac{\dfrac{100}{9}}{2}\), ta được H2O dư.
Theo PT: \(n_{H_2}=\dfrac{1}{2}n_{Na}=0,05\left(mol\right)\Rightarrow V_{H_2}=0,05.22,4=1,12\left(l\right)\)
b, Theo PT: \(n_{NaOH}=n_{Na}=0,1\left(mol\right)\)
Ta có: m dd sau pư = 2,3 + 100 - 0,05.2 = 102,2 (g)
\(\Rightarrow C\%_{NaOH}=\dfrac{0,1.40}{102,2}.100\%\approx3,91\%\)
c, - Dung dịch làm quỳ tím hóa xanh.
\(n_{Na}=\dfrac{2,3}{23}=0,1\left(mol\right)\\ 2Na+2H_2O\rightarrow2NaOH+H_2\\ n_{H_2}=\dfrac{0,1}{2}=0,05\left(mol\right);n_{NaOH}=n_{Na}=0,1\left(mol\right)\\ a,V=V_{H_2\left(đktc\right)}=0,05.22,4=1,12\left(l\right)\\ b,m_{ddNaOH}=m_{Na}+m_{H_2O}-m_{H_2}=2,3+200-0,05.2=202,2\left(g\right)\\ C\%_{ddNaOH}=\dfrac{40.0,1}{202,2}.100\approx1,978\%\\ c,NaOH-Tính.bazo\Rightarrow Quỳ.tím.hoá.xanh\)
nNaOH=2(mol)
Đặt V dd NaOH 2,5M=a(lít)
Ta có:
\(\dfrac{2,5a+2}{a+2}=2\)
=>a=4
Vậy....
a) Sai đề.
\(\text{b) }m_{NaOH}=\dfrac{m_{d^2}\cdot C\%}{100}=\dfrac{200\cdot30}{100}=60\left(g\right)\\ \Rightarrow m_{d^2\text{ }NaOH\text{ }15\%}=\dfrac{m_{NaOH}\cdot100}{C\%}=\dfrac{60\cdot100}{15}=400\left(g\right)\\ \Rightarrow m_{H_2O}=400-200=200\left(g\right)\)
\(\text{c) }n_{NaOH}=C_M\cdot V=200\cdot1=200\left(mol\right)\\ \Rightarrow V_{d^2\text{ }NaOH\text{ }0,1M}=\dfrac{n}{C_M}=\dfrac{200}{0,1}=2000\left(l\right)\\ \Rightarrow V_{H_2O}=2000-200=1800\left(l\right)\)
d) Gọi số \(\left(l\right)\) dung dịch \(NaOH\text{ }2,5M\) là \(x\left(l\right)\left(x>0\right)\)
\(\Rightarrow n_{NaOH\text{ }trong\text{ }d^2\text{ }2,5M}=C_M\cdot V=2,5\cdot x=2,5x\left(mol\right)\)
\(n_{NaOH\text{ }trong\text{ }d^2\text{ }1M}=C_M\cdot V=2\cdot1=2\left(mol\right)\\ \Rightarrow n_{NaOH\text{ }trong\text{ }d^2\text{ }2M}=2,5x+2\left(mol\right)\\ \Rightarrow V_{d^2\text{ }NaOH\text{ }2M}=\dfrac{n}{C_M}=\dfrac{2,5x+2}{2}\left(l\right)\)
\(\text{Ta có phương trình: }x+2=\dfrac{2,5x+2}{2}\\ \Leftrightarrow2x+4=2,5x+2\\ \Leftrightarrow2x-2,5x=2-4\\ \Leftrightarrow-0,5x=-2\\ \Leftrightarrow x=4\left(T/m\right)\)
\(\Rightarrow V_{d^2\text{ }NaOH\text{ }2,5M}=4\left(l\right)\)
Ta có:\(C\%=\frac{m_{ct}}{m_{ct}+m_{nước}}\cdot100\%\Leftrightarrow\frac{m_{CuSO4.5H2O}\cdot100\%}{m_{CuSO4.5H2O}+m_{Nước}}\Leftrightarrow\frac{m_{CuSO4.5H2O}_{ }}{m_{CuSO4.5H2O}+200}.100\%=30\%\Rightarrow m_{CuSO4.5H2O}=85.71\left(g\right)\)