In: Chemistry
Calculate the volume (in mL) of 0.170 M NaOH that must be added to 341 mL of 0.0555 M 3-(N-Morpholino)propanesulfonic acid (MOPS) to give the solution a pH of 7.55. The pKa of MOPS = 7.18.
MOPS millimoles = 341 x 0.0555 = 18.93
NaOH millimoles = 0.170 x V
MOPS + NaOH ---------------------> salt
18.93 0.170V 0 -------------------> initila
18.93-0.170 V 0 0.170 V --------------> equilibrium
it is buffer so
pH = pKa + log [salt /acid]
7.55 = 7.18 + log [0.170 V / 18.93 -0.170V]
0.37 = log [0.170 V / 18.93 -0.170V]
0.170 V / 18.93 -0.170V = 2.344
0.170 V = 44.376 - 0.3985 V
V = 78.1 ml
volume of NaOH = 78.1 ml