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Design a buffer that has a pH of 10.01 using one of the weak base/conjugate acid

ID: 1013661 • Letter: D

Question

Design a buffer that has a pH of 10.01 using one of the weak base/conjugate acid systems shown below.

CH3NH2

4.2×10-4

CH3NH3+

2.4×10-11

10.62

C6H15O3N

5.9×10-7

C6H15O3NH+

1.7×10-8

7.77

C5H5N

1.5×10-9

C5H5NH+

6.7×10-6

5.17



How many grams of the bromide salt of the conjugate acid must be combined with how many grams of the weak base, to produce1.00 L of a buffer that is 1.00 M in the weak base?

grams bromide salt of conjugate acid = _________

grams weak base = ___________

Weak Base Kb Conjugate Acid Ka pKa

CH3NH2

4.2×10-4

CH3NH3+

2.4×10-11

10.62

C6H15O3N

5.9×10-7

C6H15O3NH+

1.7×10-8

7.77

C5H5N

1.5×10-9

C5H5NH+

6.7×10-6

5.17

Explanation / Answer

pH of BASIC buffer = 14 - ( pkB + log(acid/base))

pkb ofCH3NH2 = -log(4.2*10^-4) = 3.37

10.01 = 14-(3.37+logx)

X = (acid/base) = 4.17

TOTAL NO OF MOL OF BUFFER(acid+base) = 1*1 = 1 mol

No of mol of conjugate acid required = 1-0.193 = 0.807 mol

No of mol of base required = 1/5.17 = 0.193 mol

mass of weak base(CH3NH2) required = 0.193*31.06 = 6 grams

mass of bromide salt of conjugate acid(CH3NH3Br) required = 0.807*112 = 90.384 grams

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