A diatomic ideal gas acts as a heat engine following a process described by the diagram below: Step 1. Isothermal expansion at Thot from volume Va to a final volume Vb. The final volume is a factor k times larger than the initial volume (ie. Vb=kVa). Step 2. Isobaric contraction from volume Vb back to original volume Va, and cooling from Thot to Tc Step 3. Isochoric heating returning the system to its original state. If there are n=76.2mols of the gas, the expansion factor k=3.8, and initial temperature Thot=229.1K, what is the change in entropy of the gas during the isothermal expansion? Answer in Joules per Kelvin.