In: Chemistry
Describe in detail how you would preapre 100 mL of 0.15 M HEPES buffer at pH 7.30 at room temperature. The pKa of HEPES is 7.55. Prepare the buffer by using the free acid form, and then titrate with a 1.00 M strong acid/base until the desired pH is reached
Hints:
- Calculate the amount of HEPES free acid that you need to prepare 100 mL of 0.100 M solution using the molecular weight of 238.3 g/mol
- Use the Henderson-Hasselbach equation to figure out what ratio of base form / acid form you need to prepare the desired pH
- Calculate the actual volume of 1 M NaOH you will use to bring the buffer to the desired pH
moles of HEPES = 100 x 0.1 / 1000
= 0.01
molar mass of HEPES = 238.2 g / mol
mass = moles x molar mass
= 0.01 mol x 238.2 g / mol
= 3.38 g
mass of HEPES needed = 3.38 g
moles of total buffer = 100 x 0.15 / 1000
= 0.015
x + y = 0.015 -------------------------(1)
HEPES + NaOH ---------------------------------> HEPES salt + H2O
x y
pH = pKa + log (y / x)
7.30 = 7.55 + log (y / x)
y = 0.562 x -----------------------> (2)
from 1 and 2
x = 0.00960
y = 0.00540
moles of salt = moles of NaOH
moles of NaOH = y = 0.00960
molarity of NaOH = 1 M
molarity = moles / volume
1 = 0.0960 / volume
volume = 0.0960 L
volume - 96.0 mL
volume of NaOH = 96.0 mL