Respuesta :
Explanation:
It is given that mass of ascorbic acid = 0.287 g
As molar mass of ascorbic acid is 176.12 g/mol. Hence, calculate its number of moles as follows.
moles ascorbic acid = [tex]\frac{\text{mass ascorbic acid}}{\text{molar mass ascorbic acid}}[/tex]
moles ascorbic acid = [tex]\frac{0.287 g}{176.12 g/mol}[/tex]
= [tex]1.63 \times 10^{-3}[/tex] mol
So, moles of [tex]H^{+}[/tex] = [tex]2 \times \text{(moles ascorbic acid)}[/tex]
= [tex]2 \times (1.63 \times 10^{-3} mol)[/tex]
= [tex]3.26 \times 10^{-3}[/tex] mol
Therefore, moles NaOH required = moles [tex]H^{+}[/tex]
moles NaOH required = [tex]3.26 \times 10^{-3}[/tex] mol
Now, we will calculate the volume of NaOH as follows.
volume NaOH = [tex]\frac{\text{moles NaOH required}}{\text{molarity NaOH}}[/tex]
volume NaOH = [tex]\frac{3.26 \times 10^{-3} mol}{0.0500 M)}[/tex]
= 0.0652 L
or, = 65.2 mL (as 1 L = 1000 ml)
Thus, we can conclude that the volume of NaOH required is 65.2 ml.
