please solve in details and show that the PRESSURE WILL DECREASE..

32. Consider a container of liquid that is held at its boiling temperature T at pressure P. A small amount of solute is added, but the temperature and pressure are maintained at their original values. Since the solute has elevated the boiling temperature, the system will condense entirely into a liquid. One way to return the mixture to boiling is to reduce the pressure while maintaining the temperature at the original T. Find an equation that can be solved to find the new vaporization pressure P as a function of solute mole fraction xsolute and liquid number density L=vL1. Assume ideal solution behavior for the solvent species, and that a negligible amount of solute is in the vapor phase. To a fair approximation, the solvent vapor at these conditions can be described by the equation of state vG=PkBT+b+cP where b and c are constants