Please show work/explain your answers. Thanks :) 1. To the nearest hundredths ,
ID: 475176 • Letter: P
Question
Please show work/explain your answers. Thanks :)
1. To the nearest hundredths, what is the pH of a 0.15 M solution of a weak acid (HA) that has a pKa of 5.37? Hint: assume that x, which corresponds to [H+], is small compared to the initial concentration of the solution. If this assumption is reasonable (which it should be), you can avoid solving a quadratic equation.
2. A 0.24 M solution of a weak acid HA dissociates such that 99.6% of the weak acid remains intact (i.e., remains as HA). To the nearest hundredths, what is the pH of the solution?
3. A 0.25 M solution of a weak acid HA dissociates such that 99.5% of the weak acid remains intact (i.e., remains as HA). What is the pKa of the weak acid? Enter your answer to the nearest hundredths.
Explanation / Answer
Ka= [H+] [A-]/[HA]= Equilibrium constant. Given Pka= 5.37 and Ka= 10(-5.37)= 4.3*10-6
Given [HA] = 0.15 M initially
Let x =drop in concentration of HA to reach equilibrium
At equilibrium [HA] =0.15-x, [H+] =[A-] =x
Hence x2/(0.15-x)= 4.3*10-6
Looking at the magnitude of Ka, it is reasonable to assume 0.15-x =0.15
Hence x2 =4.3*0.15*10-6 ,x =0.008M. pH= -log [H+] =2.08
Hence [H+] =0.24**(1-0.996)= 0.00096
pH= 3.01
Ka= [H+] [A-]/[HA] = 0.00125*0.00125/ 0.24875 =6.3*10-6
pKa= 5.2