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 (g) 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 °C. (a) Write the energy balance equation for internal energies, heat and work for each of the two steps of this process. (b) In each of the case, solve for the unknown energy term in the equation. Express all energies in joules. Assume: Neglect the change in potential energy ⚫The gas behaves ideally • 1 kcal = 4184 J clamp Boiling water Boiling water