Question

If the Henry's law constant for CO2 in water at 25°C is 29.4 bar m-1, what is the estimated concentration of dissolved CO2 in a carbonated soft drink pressurized with:

A) 15 bar
B) 29.4 bar
C) 25 bar
D) 50 bar

Answer 1

The concentration of dissolved CO2 in a carbonated soft drink, use Henry's law which states that the concentration of a gas in a liquid is directly proportional to the partial pressure of the gas. Use the formula: Concentration (M) = Henry's Law Constant x Partial Pressure (bar). For the given pressures, the estimated concentrations of dissolved CO2 are 441 M, 864.36 M, 735 M, and 1470 M for pressures of 15 bar, 29.4 bar, 25 bar, and 50 bar, respectively.

Step-by-step explanation:

In order to calculate the concentration of dissolved CO2 in a carbonated soft drink, we can use Henry's law. Henry's law states that the concentration of a gas in a liquid is directly proportional to the partial pressure of the gas above the liquid.

Henry's law constant for CO2 in water at 25°C is 29.4 bar m-1.

To calculate the concentration of dissolved CO2, we can use the formula:

Concentration (M) = Henry's Law Constant x Partial Pressure (bar)

For each given partial pressure:

1. A) Partial Pressure = 15 bar
   
   Concentration (M) = 29.4 bar m-1 x 15 bar = 441 M
2. B) Partial Pressure = 29.4 bar
   
   Concentration (M) = 29.4 bar m-1 x 29.4 bar = 864.36 M
3. C) Partial Pressure = 25 bar
   
   Concentration (M) = 29.4 bar m-1 x 25 bar = 735 M
4. D) Partial Pressure = 50 bar
   
   Concentration (M) = 29.4 bar m-1 x 50 bar = 1470 M