Answer: The fugacity coefficient of a gaseous species is 1.25
Explanation:
Fugacity coefficient is defined as the ratio of fugacity and the partial pressure of the gas. It is expressed as [tex]\bar{\phi}[/tex]
Mathematically,
[tex]\bar{\phi}_i=\frac{\bar{f_i}}{p_i}[/tex]
Partial pressure of the gas is expressed as:
[tex]p_i=\chi_iP[/tex]
Putting this expression is above equation, we get:
[tex]\bar{\phi}_i=\frac{\bar{f_i}}{\chi_iP}[/tex]
where,
[tex]\bar{\phi}_i[/tex] = fugacity coefficient of the gas
[tex]\bar{f_i}[/tex] = fugacity of the gas = 25 psia
[tex]\chi_i[/tex] = mole fraction of the gas = 0.4
P = total pressure = 50 psia
Putting values in above equation, we get:
[tex]\bar{\phi}_i=\frac{25}{0.4\times 50}\\\\\bar{\phi}_i=1.25[/tex]
Hence, the fugacity coefficient of a gaseous species is 1.25