A water carbonating system is used at home and operates by providing CO2 at 5.0 atm. Required:
a. Estimate the molar concentration of the CO2.H2O solution it produces.
b. After some weeks of use, the pressure in the water carbonating plant mentioned in the previous exercise has fallen to 2.0 atm. Estimate the molar concentration of CO2 in the carbonated water it produces at this stage.

a. 0.17 M

b. 0.066 M

Explanation:

a.

Step 1: Given and required data

Pressure of CO₂ (P): 5.0 atm

Henry's law constant for CO₂ (k): 3.3 × 10⁻² M atm⁻¹

Step 2: Calculate the molar concentration (C) of CO₂

We will use Henry's law.

C = k × P

C = 3.3 × 10⁻² M atm⁻¹ × 5.0 atm

C = 0.17 M

b.

Step 1: Given and required data

Pressure of CO₂ (P): 2.0 atm

Henry's law constant for CO₂ (k): 3.3 × 10⁻² M atm⁻¹

Step 2: Calculate the molar concentration (C) of CO₂

We will use Henry's law.

C = k × P

C = 3.3 × 10⁻² M atm⁻¹ × 2.0 atm

C = 0.066 M