Final answer:
Using Henry's Law and the given constants, the concentration of CO₂ in a soft drink equilibrating at 25°C under a partial pressure of 3.0 x 10⁻⁴ atm is calculated to be 1.0 x 10⁻⁵ M.The mentioned correct option in the final answer is 1.0 x 10⁻⁵ M.
Step-by-step explanation:
To calculate the concentration of CO₂ in a soft drink after the bottle is opened and the solution equilibrates at 25°C under a CO₂ partial pressure of 3.0 x 10⁻⁴ atm, we apply Henry's Law, which states:
C = kP
Where:
- C is the concentration of the gas (mol/L),
- k is the Henry's Law constant (mol/L-atm), and
- P is the partial pressure of the gas (atm).
Given the Henry's Law constant for CO₂ in water at 25°C is 0.034 mol/L-atm, and the partial pressure of CO₂ is 3.0 x 10⁻⁴ atm, the concentration can be calculated as follows:
C = (0.034 mol/L-atm)(3.0 x 10⁻⁴ atm) = 1.02 x 10⁻⁵ mol/L
Therefore, the concentration of CO₂ in the soft drink under these conditions is 1.0 x 10⁻⁵ M, which corresponds to the option d.