Thermodynamics: Single/Homogeneous Phase Differences

[Rahulx084]

I tried , but cannot think of any experimental way . I guess my domain of knowledge is restricted to theoretical part .

 

[Chestermiller]

I tried , but cannot think of any experimental way . I guess my domain of knowledge is restricted to theoretical part .

What you would do is prepare 2 samples of the gas with n moles total in each. The number of moles of species i in each sample would then be $n_{i}=nx_{i}$. In one of these samples you would then add a small amount of species i so $n_{i}=nx_{i}+\delta$. You would then compress each of these samples at temperature T from low pressure to pressure P, and measure $nZ_{i}=\frac{PV}{RT}$ at each intermediate pressure along the way. Then, from the two samples at each pressure along the way, you would evaluate $\bar{Z_i}=\frac{\Delta nZ_{i}}{\delta}$ between the two samples. Then you would use these values to evaluate the integral.