In: Chemistry
The temperature for each solution is carried out at approximately 297 K where Kw=1.00×10−14.
Part A
0.30 g of hydrogen chloride (HCl) is dissolved in water to make 4.0 L of solution. What is the pH of the resulting hydrochloric acid solution?
Express the pH numerically to two decimal places.
Part B
0.80 g of sodium hydroxide (NaOH) pellets are dissolved in water to make 3.0 L of solution. What is the pH of this solution?
Express the pH numerically to two decimal places.
Ammonia, NH3, is a weak base with a Kb value of 1.8×10−5.
Part C
What is the pH of a 0.155 M ammonia solution?
Express your answer numerically to two decimal places.
Part D
What is the percent ionization of ammonia at this concentration?
Express your answer with the appropriate units.
A)
[HCl] = mol/V = (mass/MW) / V = (0.3/36.5) / 4 = 0.00205
[H+] = [HCl] = 0.00205
pH = -log(0.00205 =2.6882
pH= 2.69
b)
mol of NaOH = mass/M W= 0.8/40 = 0.02
[NaOH] = mol/V = 0.02/3 = 0.006666
[OH-] = 0.006666
pOH = -log(0.006666) = 2.176
p´H = 14-2.176
pH = 11.824
c)
This is a base in water so, let the base be CH3NH2 = "B" and CH3NH3+ = HB+ the protonated base "HB+"
there are free OH- ions so, expect a basic pH
B + H2O <-> HB+ + OH-
The equilibrium Kb:
Kb = [HB+][OH-]/[B]
initially:
[HB+] = 0
[OH-] = 0
[B] = M
the change
[HB+] = x
[OH-] = x
[B] = - x
in equilibrium
[HB+] = 0 + x
[OH-] = 0 + x
[B] = M - x
Now substitute in Kb
Kb = [HB+][OH-]/[B]
Kb = x*x/(M-x)
x^2 + Kbx - M*Kb = 0
x^2 + (1.8*10^-5)x - (0.155)(1.8*10^-5) = 0
solve for x
x = 0.00166
substitute:
[OH-] = 0.00166
pH = 14 + pOH = 14 + log(0.00166) = 11.22
d)
%ionizatoin = [OH-]/[NH3] initial * 100% =(0.00166)/(0.155) * 100% = 1.070%