I am currently working on Vapor liquid equilibria by head space gas chromatography. I need some help regarding that. I shall be highly grateful to you.
That is called "Method Development". Unless someone has done it before you and it is published somewhere, you need to develop it. This is done by trial and error until you reach the best parameters that can show you a reasonable chromatogram.
the balance setting depends on very many factors. The temperature, the time and the sample composition are the main points to be considered. Modern headspace autosamplers hold temperatures and times well constant, a requirement that Noel W Davies has already noted. The sample composition can unfortunately contain some pitfalls. As an example, I would like to mention my experience in the field of beer analysis (we have developed measurement methods for a brewery). The carbon dioxide content in the beer changes the analyte concentration (in this case butanedione, pentanedione), depending on the degassing process. As expected, the carbon dioxide passed preferentially into the gas phase, so that the analytes remained in the liquid phase. In this case, a careful degassing at low temperatures was necessary.
Since I don't know your sample composition, I can't say to what extent such problems are relevant, but you should always keep in mind that very different compositions are reflected in the results.
As Mukhtar A Kareem Jaderson wrote, you will have to do some experiments to reach an optimal setup for your samples,
I would start with the equilibration temperature, increase it in 10° steps until an optimal result is achieved, then increase the equilibration time until a stable equilibrium is reached (example: water samples are stable in equilibrium after 30min at 80°C).
I hope you can plan your tests in this way and get results quickly.
Thank you so much Joachim Horst for your guidance sir. It really helped me a lot. I am working on mixtures containing alcohols and esters. My VLE is matched with the literature but the Partial Vapor Pressure values didn't match and I am unable to find the reason for this yet