Final answer:
To estimate the fugacity and activity of each component in the gas system methane/ethane/propane, we can use equations (10.64) and assume an ideal solution.
Step-by-step explanation:
To estimate the fugacity and activity for each component in the system methane(1)/ethane(2)/propane(3) as a gas, we can use the equations (10.64) and the assumption of an ideal solution.
(a) According to equation (10.64), the fugacity (ƒ) for each component is given by:
ƒ^1 = y1 * P * exp((u^1 - u^*) / (RT))
ƒ^2 = y2 * P * exp((u^2 - u^*) / (RT))
ƒ^3 = y3 * P * exp((u^3 - u^*) / (RT))
Where y1, y2, and y3 are the mole fractions of methane, ethane, and propane respectively, P is the pressure, u^1, u^2, and u^3 are the fugacity coefficients for methane, ethane, and propane respectively, u^* is the standard state fugacity coefficient, R is the gas constant, and T is the temperature.
(b) Assuming that the mixture is an ideal solution, the activity (φ) for each component is equal to its mole fraction:
φ^1 = y1
φ^2 = y2
φ^3 = y3