Question

Find the fugacity coefficient of a gaseous species of mole fraction 0.4 and fugacity 25 psia in a mixture at a total pressure of 50 psia

Answer 1

Answer: The fugacity coefficient of a gaseous species is 1.25

Step-by-step explanation:

Fugacity coefficient is defined as the ratio of fugacity and the partial pressure of the gas. It is expressed as
`\bar{\phi}`

Mathematically,

`\bar{\phi}_i=\frac{\bar{f_i}}{p_i}`

Partial pressure of the gas is expressed as:

`p_i=\chi_iP`

Putting this expression is above equation, we get:

`\bar{\phi}_i=\frac{\bar{f_i}}{\chi_iP}`

where,

`\bar{\phi}_i` = fugacity coefficient of the gas

`\bar{f_i}` = fugacity of the gas = 25 psia

`\chi_i` = mole fraction of the gas = 0.4

P = total pressure = 50 psia

Putting values in above equation, we get:

`\bar{\phi}_i=(25)/(0.4* 50)\\\\\bar{\phi}_i=1.25`

Hence, the fugacity coefficient of a gaseous species is 1.25