a)Gọi C% của dd sau khi trộn là x (%)
Ta có sơ đồ đường chéo:
50g NaOH 8% ........................... 20-x
................ x (%)............
450g NaOH 20%........................... x-8
=> \(\dfrac{50}{450}\) = \(\dfrac{20-x}{x-8}\) <=> x = 18,8 %
b) CM = \(\dfrac{C\%.10D_{dd}}{M_{NaOH}}\) = \(\dfrac{18,8.1,1}{40}\) = 0,517 (mol/lít)
mNaOH = \(\dfrac{\left(45+450\right).18,8}{100}\) = 94 (g) => nNaOH = \(\dfrac{94}{40}\) = 2,35(mol)
=> Vdd = \(\dfrac{2,35}{0,517}\) \(\approx\) 4,55 (l)
áp dụng sơ đồ đường chéo
=> \(\dfrac{m1}{m2}\)= \(\dfrac{\left|C-20\right|}{\left|C-8\right|}\)= \(\dfrac{50}{450}\)= \(\dfrac{1}{9}\)
vì 8< C< 20 nên
(20- C)x 9= C- 8
<=> 180- 9C= C- 8
<=> C= 18,8%
ta có mdd sau khi trộn= m1+ m2= 50+ 450= 500( g)
=> Vdd sau khi trộn= m/ D= 500/ 1,1= 454.55( ml)
\(\text{a) }m_{NaOH\text{ trong }d^2\text{ }8\%}=\dfrac{m_{d^2}\cdot C\%}{100}=\dfrac{50\cdot8}{100}=4\left(g\right)\\ m_{NaOH\text{ trong }d^2\text{ }20\%}=\dfrac{m_{d^2}\cdot C\%}{100}=\dfrac{450\cdot20}{100}=90\left(g\right)\\ \Rightarrow\Sigma m_{NaOH}=4+90=94\left(g\right)\\ \Rightarrow\Sigma m_{d^2\text{ }NaOH}=50+450=500\\ \Rightarrow\Sigma C\%\left(NaOH\right)=\dfrac{m_{NaOH}}{m_{d^2\text{ }NaOH}}\cdot100=\dfrac{94}{500}\cdot100=18,8\%\)
b) \(V_{d^2\text{ }NaOH}=\dfrac{m}{D}=\dfrac{500}{1,1}=454,55\left(ml\right)\)
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