\(m_{NaOH\left(35\%\right)}=100.35\%=35\left(g\right)\)

\(m_{ddNaOH\left(20\%\right)}=\dfrac{35}{20}.100=175\left(g\right)\)

⇒ m_{nước thêm vào} = 175-100 = 75(g)

_{Vnước thêm vào} = 75.1 = 75 (ml)

Câu 4:

\(n_{HCl}=4.2,75=11\left(mol\right)\)

Ta có: \(V_{ddHCl\left(2M\right)}=\dfrac{n_{HCl\left(1\right)}}{2}\left(l\right);V_{ddHCl\left(3M\right)}=\dfrac{n_{HCl\left(2\right)}}{3}\left(l\right)\)

  \(\Rightarrow V_{ddHCl\left(2M\right)}+V_{ddHCl\left(3M\right)}=\dfrac{n_{HCl\left(1\right)}}{2}+\dfrac{n_{HCl\left(2\right)}}{3}\)

  \(\Leftrightarrow4=\dfrac{3n_{HCl\left(1\right)}+2n_{HCl\left(2\right)}}{6}\Leftrightarrow3n_{HCl\left(1\right)}+2n_{HCl\left(2\right)}=24\)

Ta có: \(\left\{{}\begin{matrix}n_{HCl\left(1\right)}+n_{HCl\left(2\right)}=11\\3n_{HCl\left(1\right)}+2n_{HCl\left(2\right)}=24\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}n_{HCl\left(1\right)}=2\\n_{HCl\left(2\right)}=9\end{matrix}\right.\)

  \(\Rightarrow V_{ddHCl\left(2M\right)}=\dfrac{2}{2}=1\left(l\right);V_{ddHCl\left(3M\right)}=\dfrac{9}{3}=3\left(l\right)\)

Câu 3:

\(m_{NaOH}=35.100\%=35\left(g\right)\\ m_{H_2O\left(thêm\right)}=a\left(g\right)\\ \Rightarrow\dfrac{35}{100+a}.100\%=20\%\\ \Leftrightarrow a=75\left(g\right)\\ \Rightarrow V_{H_2O\left(thêm\right)}=\dfrac{75}{1}=75\left(ml\right)\)

Câu 4:

\(Đặt:V_{ddHCl\left(pha.thêm2M\right)}=a\left(l\right)\\ V_{ddHCl\left(pha.thêm3M\right)}=b\left(l\right)\\ \Rightarrow\dfrac{2a+3b}{a+b}=2,75\left(1\right)\\ Mà:a+b=4\left(2\right)\\ Từ\left(1\right),\left(2\right)\Rightarrow\left\{{}\begin{matrix}a=1\left(l\right)\\b=3\left(l\right)\end{matrix}\right.\)

Vậy cần pha 1 lít dung dịch HCl 2M vào 3 lít dung dịch HCl 3M để thu được 4 lít dung dịch HCl 2,75M 

Chúc em học tốt!

\(m_{NaOH\left(r\right)}=m\left(g\right)\\ V_{NaOH}=x\left(L\right)\\ n_{NaOH}=2.2,5=5\left(mol\right)\\ m_{ddNaOH}=2500.1,06=2650\left(g\right)\\ Có:\dfrac{m}{40}+0,5x=5\left(mol\right)\\ x=2,5\left(L\right)\\ \Rightarrow m=150\left(g\right)\)

Vậy cần 150 g NaOH rắn và 2,5 L dung dịch NaOH 0,5 M, giả sử việc pha chế không làm thay đổi thể tích dung dịch.

Gọi \(\left\{{}\begin{matrix}n_{NaOH.khan}=a\left(mol\right)\\V_{dd.NaOH.0,5M}=b\left(ml\right)\end{matrix}\right.\)

\(m_{dd.sau.khi.pha}=2,5.1000.1,06=2650\left(g\right)\)

\(n_{NaOH\left(trong.dd.NaOH.0,5M\right)}=0,001b.0,5=0,0005b\left(mol\right)\)

\(n_{NaOH\left(trong.dd.sau.khi.pha\right)}=a+0,0005b\left(mol\right)\)

Mặt khác theo đề, nNaOH trong dung dịch sau khi pha là \(2,5.2=5\left(mol\right)\)

\(\Rightarrow a+0,0005b=5\left(I\right)\)

Trong dung dịch NaOH 0,5M ta có:

\(\left\{{}\begin{matrix}m_{NaOH}=0,0005b.40=0,02b\left(g\right)\\m_{H_2O}=1.b=b\left(g\right)\end{matrix}\right.\)

\(\Rightarrow m_{dd.NaOH.0,5M}=1,02b\left(g\right)\)

Theo đl bảo toàn khối lượng:

\(m_{NaOH.khan}+m_{dd.NaOH.0,5M}=m_{dd.NaOH.2M}\)

\(\Leftrightarrow40a+1,02b=2650\left(II\right)\)

Từ (I), (II) suy ra: \(\left\{{}\begin{matrix}a=3,775\\b=2450\end{matrix}\right.\)

Đáp án B

Đáp án B

\(V_{dd_{HCl\left(2M\right)}}=a\left(l\right),V_{dd_{HCl\left(3M\right)}}=b\left(l\right)\)

\(\Rightarrow V_{dd}=a+b=4\left(l\right)\left(1\right)\)

\(n_{HCl}=2a+3b=4\cdot2.75=11\left(mol\right)\left(2\right)\)

\(\left(1\right),\left(2\right):a=1,b=3\)

trong 1l dd chua HCl 2M va H2SO4 1,5M co n(H+)=2+1,5.2=5 mol 
p.u trung hoa: 
(H+)+(OH-)=>H2O 
De trung hoa het axit,can:n(OH-)=n(H+)=5 mol 
=>n(NaOH)=5 mol 
=>VddNaOH=n/C(M)=5/0,5= 10 (l). 
Neu day la Hoa cap 2 thi lam tuong tu nhu tren,nhung tinh nNaOH theo pthh dang phan tu: 
NaOH+HCl=>NaCl+H2O 
2NaOH+H2SO4=>Na2SO4+2H2O 
nNaOH=nHCl+2nH2SO4=5 mol=>Vdd NaOH=n/C(M)=5/0,5=10 (l).