Question

Calculate the volume (in mL) of CO2 at 25 oC and 1.0 atm dissolved in a...

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!

Homework Answers

Answer #1

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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