Answer :
The pH of water indicates how acidic or basic it is.
How to find pH value?
1. The moles of equivalence of sodium hydroxide and nitrous acid are as follows:
nNaOH = nHNO₃
= 25.00 x .200
= .005 mol
The added base has a volume of 5.00 mL.
Nitrogen dioxide has a mole of 0.005 and a volume of 30 mL at the equivalence point.
Nitrogen dioxide's molar concentration will be 0.167 M.
The base dissociation constant is calculated using the ICE table as follows:
Kw = Ka x Kb
Kb = 1 x 10⁻¹⁴ / 4.6 x 10⁻¹⁴
= 2.174 x 10⁻¹¹
The base's ionization constant is given as,
Kb = [ HNO₂] [ OH⁻] / [NO₂⁻]
2.174 X 10⁻¹¹ = x² / 0.167 - x
= 1.905 x 10⁻6
pOH is now calculated as follows:
pOH = -log[OH⁻]
= -log(1.905 x 10⁻⁶)
= 5.72
The titration's pH is calculated as follows:
pH + pOH = 14
pH = 14 - 5.72
= 8.27
As a result, the pH is 8.27.
2. Given,
The acetic acid volume = 50.0 mL
The molarity of acetic acid = 0.150 M
The molarity of NaOH = 0.10 M
HA + H2O ⇆ A- + H3O+
Initial concentration is :
[HA] = 0.150 M
[A-] = 0M
[H3O+] = 0M
Concentration at equilibrium
[HA] = 0.150 - x M
[A-] = xM
[H3O+] = xM
Ka = [H3O+][A-] / [HA] = x²/(0.150 -x) = 1.76*10^-5
0.150 >>> x
x²/(0.150) = 1.76*10^-5
x² =0.00000264
x = 0.00162
[H3O+] = 0.00162 M
pH = -log [H3O+] = -log (0.00162) = 2.79
3. a) by adding 10 mL of HCl
moles of (CH3)3N = molarity * volume
= 0.29 m * 0.025 L
= 0.00725M moles
moles of HCl = molarity * volume
= 0.3625 m * 0.01L
= 0.003625 moles
moles of (CH3)3N remaining = moles of (CH3)3N - moles of HCl
= 0.00725 - 0.003625
= 0.003625 moles
the total volume = 0.01 L + 0.025L = 0.035 L
[(CH3)3N] = moles remaining / total volume
= 0.003625 moles / 0.035L
= 0.104 M
pKb = - logKb
4.19 = -logKb
Kb = 6.5 x 10^-5
Kb = [(CH3)3NH+] [OH-] / [(CH3)3N]
by using ICE table :
[(CH3)3NH+] = X & [OH] = X
[(CH3)3N] = 0.104 -X
By substituting:
6.5 x 10^-5 = X^2 / (0.104-X) by solving for X
X = 0.00257 M
[OH-] = X = 0.00257 M
POH = -log[OH]
= -log0.00257
= 2.5
PH = 14 - POH
= 14 - 2.5
= 11.5
b) by adding 20ML of HCL:
The moles of HCl = molarity * volume
= 0.3625 m * 0.02 L
= 0.00725 moles
The neutralization of (CH3)3N we make 0.003625 moles of (CH3)3NH+ So, now we need the Ka value of (CH3)3NH+:
When total volume = 0.02L + 0.025 = 0.045L
∴ [ (CH3)3NH+] = moles / total volume
= 0.003625 / 0.045L
= 0.08 M
When Ka = Kw / Kb
Here, Kb = 6.5 x 10^-5 & we know that Kw = 1 x 10^-14
By substitution:
Ka = (1 x 10^-14) / (6.5 x 10^-5)
= 1.5 x 10^-10
Ka expression = [(CH3)3N][H+] / [(CH3)3NH+]
By substituting:
1.5 x 10^-10 = X^2 / (0.08 - X) solving X
X = 3.5 x 10^-6 M
[H+]= X = 3.5 x 10^-6 M
The PH = -log[H+]
= -log(3.5 x 10^-6)
= 5.5
C) by adding 30ML of HCl:
The no : of moles HCl = molarity * volume
= 0.3625m * 0.03L
= 0.011 moles
The moles of (CH3)3N neutralized = 0.003625 moles
The no : of moles of HCl remaining = moles HCl - moles (CH3)3N neutralized
= 0.011moles - 0.003625moles
= 0.007375 moles
Therefore total volume = 0.025L + 0.03L
= 0.055L
The [H+] = moles / total volume
= 0.007375 mol / 0.055L
= 0.134 M
Therefore the PH = -log[H+]
= -log 0.134
= 0.87
To learn more about pH value refer to :
https://brainly.com/question/26424076
#SPJ4