Problem \#1) (20 points) A gas inside a flexible container expands such that the product of its pressure and volume remains constant during the process; that is, pV=C Where C is constant. a. Calculate the work done by the gas on the surroundings during an expansion from p1, V1 to p2,V2. b. Compare the work calculated for the path in part a with a path that has the same initial and final states but consists of a constant-volume process that continues until the pressure drop to p2 followed by a constant-pressure process that terminates at state 2 . Draw p-V diagrams for: 1. path for part a 2. path for part b Show the work, W12 on both diagram