A soft drink was bottled with a partial pressure of of 3 bar over the liquid at room temperature. The partial pressure of over the solution approaches a value of 30 bar when 44 g of is dissolved in

Question

A soft drink was bottled with a partial pressure of  of 3 bar over the liquid at room temperature. The partial pressure of  over the solution approaches a value of 30 bar when 44 g of  is dissolved in 1 kg of water at room temperature. The approximate pH of the soft drink is .

(First dissociation constant of ; ; density of the soft drink = 1 g/mL)

Canvas Classes · Accepted Answer

Step 1 — Henry's law to find  dissolved:
Henry's constant:

Moles of  = 44/44 = 1 mol in 1 kg water
Molality = 1 mol/kg ≈ 1 M (dilute solution)

So  bar/M

At  bar:

Step 2 — pH from first dissociation:

Step 3 — pH:

Expressed as :

Answer: 37

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