A gas is contained in a cylinder fitted with a movable piston as shown below: The initial gas temperature is T= 25 %C The cylinder is placed in boiling water with the piston held in a fixed position. Heat (4) in the amount of 2.00 kcal is transferred to the gas, which equilibrates at 100 %C. The piston is then, released, and the gas does 100 J of work in moving the piston to its new equilibrium position. The final T = 100 % (a) Write the energy balance equation for internal energies, heat and work for each of the two steps of this process. [5 pt] (b)In each of the case, solve for the unknown energy term in the equation. Express all energies in joules [S pt] Assume: Neglect the change in potential energy The gas behaves ideally keal = 4184 J