General Instruction: Illustrate the following word problems, analyze and solve using GRESA, complete all the necessary units, cancel the units on the solution to showcase the unit of the required, preserve as much as four decimal places until the final answer, and round off the final answer to the nearest hundredths place expressed using SI units. When the final answer exceeds the ten thousand, express it in scientific notation. (Note that 1L atm=101.325J)

 

1. A rubberized sphere contains carbon dioxide. If the initial radius of the sphere is 15cm: a. How much work is done if the carbon dioxide-filled sphere expanded to five times its original volume against the pressure at STP? Express your answer in L atm. b. Upon the expansion of the sphere, what is the kinetic energy of a single carbon dioxide molecule if it travels across the diameter and covers it in 30ms? Assume that the sphere contains one mole of carbon dioxide. Express your answer in J. c. How much power can all the molecules in this sphere generate after 30s? Assume that the sphere contains one mole of carbon dioxide and that all molecules have the same kinetic energy. Express your answer in W. (Use the KE obtained from the previous required)