In: Chemistry
A 130.0 −mL buffer solution is 0.100 M in NH3 and 0.135 M in NH4Br. a.Part A What mass of HCl can this buffer neutralize before the pH falls below 9.00? b.Part B If the same volume of the buffer were 0.255 M in NH3 and 0.400 M in NH4Br, what mass of HCl could be handled before the pH falls below 9.00?
Part A)
pH = 9.00
pKa = 9.26
moles of NH3 = 0.130 x 0.100 = 0.0130
moles of NH4Br = 0.130 x 0.135 = 0.01755
NH3 (aq) + H+ (aq) <---------------> NH4+ (aq)
0.0130 x 0.01755
0.0130 - x 0 0.01755 + x
pH = pKa + log [base / acid]
9.0 = 9.26 + log [0.0130 - x / 0.01755 + x ]
[0.0130 - x / 0.01755 + x ] = 0.55
0.0130 - x = 0.00965 + 0.55 x
x = 0.00216
moles of HCl = 0.00216
mass of HCl = 0.00216x 36.45
mass of HCl = 0.0788 g
B)
moles of NH3 = 0.130 x 0.255 = 0.03315
moles of NH4Br = 0.0520
NH3 (aq) + H+ (aq) <---------------> NH4+ (aq)
0.03315 x 0.0520
0.03315 - x 0 0.0520 + x
pH = pKa + log [base / acid]
9.0 = 9.26 + log ( 0.03315 - x / 0.0520 + x )
( 0.03315 - x / 0.0520 + x ) = 0.55
0.03315 - x = 0.0286 + 0.55x
x = 0.00294
moles of HCl = 0.00294
mass of HCl = 0.107 g