Let x be the concentration of H3O+ (mol/L) formed when HCO3- reacts. Since H2O is present in excess, we can assume that the initial concentration of HCO3- is equal to the concentration formed:
[HCO3-] = x (mol/L)
[H3O+] = x (mol/L)
The equation for the equilibrium constant (Ka) is given as:
Ka = [H3O+][CO32-] / [HCO3-]
Given Ka = 4.7 x 10^-11 and [HCO3-] = 8.127 x 10^17 molecules in 1.0 liter (which is equivalent to 8.127 x 10^-8 mol/L):
4.7 x 10^-11 = (x)(x) / (8.127 x 10^-8)
Solving for x:
x^2 = 4.7 x 10^-11 * 8.127 x 10^-8
x^2 = 3.82969 x 10^-18
x ≈ 1.956 x 10^-9 mol/L
Now, to find the pH, we can use the equation:
pH = -log[H3O+]
pH ≈ -log(1.956 x 10^-9)
pH ≈ 8.71
So, the pH of the ocean based on this sample is approximately 8.71.
Ionic equation for the reaction of Sodium Nitrate (NaNO3) with Potassium Carbonate (K2CO3) in water:
NaNO3(aq) + K2CO3(aq) → 2KNO3(aq) + Na2CO3(aq)
Ionic equation for the addition of Sulfurous Acid (H2SO3) to water:
H2SO3(aq) → H+(aq) + HSO3-(aq)