Calculate the volume (in mL) of CO2 at 25 oC and 1.0 atm dissolved in a 10.0 L bucket of rainwater that has a pH of 4.5.
I know the answer is 580, I just don't know how to solve it. Please help!
The author considered that the pH of rainwater is only due to H2CO3 (dissolved CO2)!.
H2CO3(aq) ⇌ H+(aq) + HCO3–(aq) Ka1= 4.3x10-7 (ignore the second step).
At pH = 4.5 [H+] = 10-4.5 = 3.2x10-5
Calculate as usual:
[H+] = [HCO3–]
[H+] = (Ka . CH2CO3)1/2
(3.2x10-5 )2 / 4.3x10-7 = CH2CO3
CH2CO3 = 2.32x10-3 mol/Lwater
2.4x10-3 mol CO2/Lwater x 22.4 L CO2 /mol x (298K/273K) = 0.058 L CO2 /L water
58 mL CO2 x 10 L = 580 mL CO2
(the molar volume 22.4 L at std cond was corected for 298 K)
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