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Anonymous asked in Science & MathematicsChemistry · 8 years ago

Chemistry question? Simple stoicheometry?

2HCl + caco3 -> h2co3 + cacl2

h2co3 -> h2o + co2

I used 50mL of HCl, and 0.1g of CaCO3

the co2 produced from the previous reaction, which is 24mL and 0.001 moles (found out with stoicheometry), is dissolved in 25mL of h2o. Here is the equation:

co2 + h2o <-> h2co3 <-> (h+) + hco3

my question is: how do you find the pH (concentration of (H+)) using stoicheometry?

help would be awesome! thanks!

1 Answer

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  • 8 years ago
    Favorite Answer

    In order to do this you must ASSUME that all of the CO2 produced is dissolved in the water. This is not a normal behavior for CO2(g), but for the calculation we must use this assumption.

    CO2(g) --> CO2(aq) We are assuming that this happens 100%. This is really an equilibrium, but I am writing it as a reaction (or process).

    [CO2] = 0.001 mol/0.024 L = 0.042 M

    Equilibrium: CO2(aq) + H2O(l) <=> H^+(aq) + HCO3^-(aq)

    Ka = [H^+][HCO3^-]/[CO2] = 4.5 x 10^-7 (see link below)

    Let x = [H^+] = [HCO3^-] and [CO2] = 0.042 - x (First assume that x is negligible)

    x^2/(0.042) = 4.5 x 10^-7

    x^2 = (4.5 x 10^-7)(0.042) = 1.875 x 10^-8

    x = sq. root(1.875 x 10^-8) = 1.40 x 10^-4 M = 0.000140 M

    error of assumption: [(0.000140)/(0.042)] x 100% = 0.3 % This is an acceptible error. The assumption is valid.

    pH = -log[H^+] = -log(1.40 x 10^-4) = 3.85

    Hope this is helpful to you. JIL HIR

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