Final answer:
The concentration of CO₂ in the soft drink bottled under 5.0 atm of CO₂ is 0.147 M, while the concentration of CO₂ in the soft drink in equilibrium with the normal partial pressure of CO₂ in the atmosphere is 8.82 M.
Step-by-step explanation:
To calculate the concentration of dissolved CO₂ in the soft drink, we can use Henry's Law. Henry's Law states that the concentration of a gas dissolved in a liquid is directly proportional to the partial pressure of the gas above the liquid.
For part a, the soft drink is bottled with a partial pressure of CO₂ of 5.0 atm. Using Henry's Law constant, we can calculate the concentration:
[CO₂] = (Partial Pressure of CO₂) / (Henry's Law constant)
[CO₂] = 5.0 atm / (3.4 × 10-² M/atm) = 0.147 M
Therefore, the concentration of CO₂ in the soft drink is 0.147 M.
For part b, the normal partial pressure of CO₂ in the atmosphere is approximately 3 × 10 atm. Using Henry's Law constant, we can calculate the concentration:
[CO₂] = (Partial Pressure of CO₂) / (Henry's Law constant)
[CO₂] = (3 × 10 atm) / (3.4 × 10-² M/atm) = 8.82 M
Therefore, the concentration of CO₂ in the soft drink is 8.82 M.