Answer:
0.4235 g of glycine amide should be added
Explanation:
From the given information:
The equation of the reaction can be illustrated as:
[tex]BH^+ \to B^+ + H ^-[/tex]
where:
mass of glycine amide hydrochloride = 1.00 g
Suppose x be the amount of (in grams) of glycine amide that is required to be added; Then:
[tex][BH^+] = \dfrac{1.00 \ g}{110.54 \ gmol \times 0.100 L}[/tex]
[tex][BH^+]=[/tex] 0.0905 M
So, For [B} i.e, for glycine amide
[tex][B] = \dfrac{x \ g}{74.083 \ gmol \times 0.100 L}[/tex]
[B] = 0.135x M
∴
[tex]\dfrac{[B]}{[BH^+]}=\dfrac{0.135x \ M}{0.0905 \ M }}[/tex]
[tex]\dfrac{[B]}{[BH^+]}=1.49x[/tex]
The log of the above question can be computed as:
[tex]log _{10}\dfrac{[B]}{[BH^+]}=log _{10}1.49x[/tex]
[tex]pH = pK_a + log _{10} \dfrac{[B]}{[BH^+]}[/tex]
8.00 = 8.20 + [tex]log _{10}(1.49x)[/tex]
8.00 - 8.20 = [tex]log _{10}(1.49x)[/tex]
-0.20 = [tex]log _{10}(1.49x)[/tex]
1.49 x = [tex]10^{-0.20}[/tex]
1.49 x = 0.631
x = 0.631/1.49
x = 0.4235 g