An ideal gas with a temperature independent heat capacity of cp = 29.3 j/(mol k) is used as the working uid in a carnot cycle. the upper and lower operating temperatures of the carnot cycle are th = 800 k and tc = 300 k, respectively. during isothermal expansion at 800 k, the pressure drops from 24 bar to 6 bar. (a) describe the cycle, showing sketches in the t-v and p-v planes. introduce a numbering scheme to identify each of the four state points on your sketches. (b) give values for the temperature, pressure, and molar volume at each of the four state points. (c) calculate the heat input q and work input w per mole for each of the four segments of the cycle. calculate the net heat input and net work input (which should be negative) and con rm that they are equal and opposite. con rm that the device achieves the carnot efficiency