1. [10 pts] In the experiment of determining the volume ratio between the sample chamber and the expansion chamber, one first exposes both chambers, via leak, to atmosphere. One then evacuates the expansion chamber by the pump while the sample chamber is separated from the expansion chamber, i.e., valve B is closed and the gas in the sample chamber remains of atmospheric pressure. After the evacuation is done, the gas in the sample chamber is redistributed among both chambers by closing the valve (C) to the pump and opening the valve (B) that separates the two chambers. In the Powerpoint prsentation for the lecture (page 23 ), the equation that is used to determine the volume ratio is given as: V(s)V(e)=pexppatmpexp where V(e) and V(s) are the volumes of the expansion chamber and the sample chamber, respectively. Patm is the atmospheric pressure and Pexp is the pressure in both chambers after the expansion (redistribution). Prove the equation above. What is the assumption/approximation that you have to use in order to derive it