Problem 5. One mole of a gas (=1.6,cv=13860JK1kmole1) occupies 1 liter at 300K. For each step, below, calculate the different variables of state, p,V, and T. Step 1 - 2. Compress this gas adiabatically to a volume of 0.1 liters. How much energy, W1,2, is used in this compression? Step 2 - 3. Add isothermally 10kJ of heat to the gas. What is the external work done, if any? Step 3 - 4. Expand this gas adiabatically by a ratio of 10:1 (the same as the compression ratio of Step 12). Step 4 - 1. Reject heat isothermally so as to return to State 1 . What is the energy involved? What is the overall efficiency of the above cycle? What power would an engine based on the above cycle deliver if operated at 5000rpm (5000 cycles per minute)? Draw a sketch of the above cycle. What is the Carnot efficiency of the cycle