Answer : The fugacity in the solution is, 16 bar.
Explanation : Given,
Fugacity of a pure component = 40 bar
Mole fraction of component = 0.4
Lewis-Randall rule : It states that in an ideal solution, the fugacity of a component is directly proportional to the mole fraction of the component in the solution.
Now we have to calculate the fugacity in the solution.
Formula used :
[tex]f_i=X_i\times f_i^o[/tex]
where,
[tex]f_i[/tex] = fugacity in the solution
[tex]f_i^o[/tex] = fugacity of a pure component
[tex]X_1[/tex] = mole fraction of component
Now put all the give values in the above formula, we get:
[tex]f_i=0.4\times 40\text{ bar}[/tex]
[tex]f_i=16\text{ bar}[/tex]
Therefore, the fugacity in the solution is, 16 bar.