A pop bottle contains 2.00 L of carbonated pop and 82.8 mL ofhead space (open sp

Question

A pop bottle contains 2.00 L of carbonated pop and 82.8 mL ofhead space (open space above the pop). The solution contains4.27x10-2 mol/L H2CO3 and the headspace contains an equilibrium CO2 pressure of 927 mmHgat 5oC CO2(g) + H2O(l) <--->H2CO3 (aq) Determine Kc for this system from this data. Pleaseshow your work. Ans: 0.798 A pop bottle contains 2.00 L of carbonated pop and 82.8 mL ofhead space (open space above the pop). The solution contains4.27x10-2 mol/L H2CO3 and the headspace contains an equilibrium CO2 pressure of 927 mmHgat 5oC CO2(g) + H2O(l) <--->H2CO3 (aq) Determine Kc for this system from this data. Pleaseshow your work. Ans: 0.798

Explanation / Answer

Molarity of H2CO3 = 4.27 * 10^-2 mol/ L . given Pressure of CO2 = 927 mm Hg = (927 / 760) atm = 1.21974atm Volume = 82.8 mL = 0.0828 L T = 5 C = 278 K . Moles of Carbon dioxide, n = P V/ (RT)                                         = 1.21974 atm * 0.0828 L / (0.0821L-atm./mol.K * 278 K)                                          =0.004425 moles . Concentration of carbon dioxde = moles / volume                                              = 0.004425 moles / 0.0828 L                                            = 0.053442 M . CO2(g) + H2O(l) H2CO3 (aq) Kc = [H2CO3] / [CO2]       = 4.27 * 10^-2 M / 0.053442       = 0.798

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