Respuesta :
Answer : The resulting concentrations of CV and NaOH are 0.0027 M and 0.025 M respectively.
Explanation :
Step 1 : Find moles of crystal violet and NaOH.
The molarity formula is
[tex]Molarity = \frac{mol}{L}[/tex]
Molarity of crystal violet = [tex]3.00 \times 10^{-3} = \frac{mol (CrystalViolet)}{L}[/tex]
The volume of crystal violet solution is 18 mL which is 0.018 L.
Moles of crystal violet = [tex]3.00 \times 10^{-3} \times 0.018 = 5.4 \times 10^{-5}[/tex]
Moles of crystal violet = 5.4 x 10⁻⁵
Moles of NaOH = [tex]Molarity \times L = 0.250 \times 0.00200 = 5.00 \times 10^{-4}[/tex]
Moles of NaOH = 5.00 x 10⁻⁴
Step 2 : Find total volume of the solution
The total volume of the solution after mixing NaOH and crystal violet is
0.018 L + 0.00200 = 0.020 L
Step 3 : Use molarity formula to find final concentrations
Molarity of crystal violet = [tex]\frac{mol(CrystalViolet)}{Total Volume(L) } = \frac{5.4 \times 10^{-5}}{0.020} = 2.7 \times 10^{-3}[/tex]
Final concentration of CV = 0.0027 M
Molarity of NaOH= [tex]\frac{mol(NaOH)}{Total Volume(L) } = \frac{5.00 \times 10^{-4}}{0.020} = 0.025 \times 10^{-3}[/tex]
NaOH is a strong base and dissociates completely as follows.
[tex]NaOH (aq) \rightarrow Na^{+} (aq) + OH^{-} (aq)[/tex]
The mole ratio of NaOH and OH⁻ is 1:1 . Therefore the concentration of OH⁻ is same as that of NaOH.
Concentration of OH⁻ = 0.025 M
The study of chemicals is called chemistry. The concentration of the solution depends on the amount of solute present in it.
The correct answer is 0.025M.
What is molarity?
- Molar concentration is a measure of the concentration of a chemical species, in particular of a solute in a solution, in terms of the amount of substance per unit volume of solution.
- The moles of crystal violet and NaOH is as follows:-
The molarity formula is =[tex]M=\frac{MOLE}{V}[/tex]
The volume of crystal violet solution is 18 mL which is 0.018 L
Moles of crystal violet = [tex]3*10^{-3}*0.018=5.4*10^{-5}[/tex]
Hence, Moles of crystal violet =[tex]5.4 * 10^{-5}[/tex]
- The total volume of the solution
The total volume of the solution after mixing NaOH and crystal violet is
[tex]0.018 L + 0.00200 = 0.020 L[/tex]
Molarity formula to find final concentrations
Molarity of crystal violet = [tex]\frac{5.4*10^{-5}}{0.020} =2.7*10^{-3}[/tex].
Final concentration of CV = [tex]0.0027 M[/tex]
Molarity of NaOH= [tex]\frac{5*10^{-4}}{0.020} =0.025*10^{-3}[/tex]
Hence, The mole ratio of NaOH and OH⁻ is 1:1. Therefore the concentration of OH⁻ is the same as that of NaOH.
The required Concentration of OH⁻ is 0.025 M.
For more information about the molarity, refer to the link:-
https://brainly.com/question/15209553
