Problem 1: Ideal Gas Law Surface science is a branch of physical chemistry that studies the phenomena at the interface of two substances, or substance and vacuum: this is particularly important for understanding catalysis and adhesives. To study the surfaces involved without contamination by adsorbates (other substances that stick onto surfaces), the experiments are often carried out in ultra-high vacuum (UHV) chambers that can typically reach pressures on the order of 10-11 torr. You are researching a new alloy for an interstellar probe: you want to do tests on how the surface acts in a vacuum and need to estimate how accurate your experiments will be compared to real space travel. a)How many gas molecules are there in each cubic centimeter of a UHV chamber at this pressure and room temperature? b) What is the chamber's molar volume? c) The average density of interstellar space is roughly 1 hydrogen atom/ cm3 and its temperature is typically on the order of 10 K. What are the pressure and molar volume of this interstellar medium?