Calculation of Concentration of CO2 in Fat


To calculate the concentration of CO2 in fat, we need to use the Henry's law equation. The Henry's law equation relates the concentration of a gas in a liquid to the partial pressure of the gas above the liquid. The equation is given as:

C = kh * P

Where C is the concentration of the gas in the liquid, kh is the Henry's law constant, and P is the partial pressure of the gas above the liquid.

Given Parameters


Partial pressure of CO2 = 55 kPa
Henry's constant (kh) = 8.5 × 10^4 torr

Conversion of Units


To use the Henry's law equation, we need to convert the units of partial pressure and Henry's constant to the same unit. We can convert the partial pressure from kPa to torr by multiplying it with 7.5. Therefore,

Partial pressure of CO2 = 55 × 7.5 torr = 412.5 torr

Now, we can use the Henry's law equation to calculate the concentration of CO2 in fat.

Calculation


C = kh * P
C = 8.5 × 10^4 torr * 412.5 torr
C = 3.506 × 10^8 torr^2

The concentration of CO2 in fat is 3.506 × 10^8 torr^2.

Explanation


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. The proportionality constant is known as the Henry's law constant. In this case, we were given the partial pressure of CO2 above the fat and the Henry's constant. We converted the units of partial pressure to torr and then used the Henry's law equation to calculate the concentration of CO2 in fat.