Problem1. A cylinder with a movable piston contains gas at a temperature of 42 degrees Celicius, with a volume of 40m^3 and a pressure of 0.233*10^5 Pa. What will be the final temperature of the gas if it is compressed to 0.728 m^3 and its pressure is increaded to 0.609*10^5 Pa? Answer in K. How is this done? Problem 3. A gas bubble with a volume of 0.14 cm^3 is formed at the bottom of a 11.1 cm deep container of mercury. The temperature is 24 degrees Celisius at the bottom of the container and 43 degees Celisuis at the top of the container. The acceleration of gravity is 9.81 m/s^2. What is the volume of the bubble just beneath the surface of the mercury? Assume that the surface is at atmospheric pressure. Answer in units of m^3. How is correctly done?