Show that the thermal efficiency of the Carnot cycle in terms of the isentropic compression ratio r, is given by the k-1 equation e=1-1/r,

A Carnot Power Cycle Operates on 2 lb of air between the limits of 70°F and 500°F . The pressure at the beginning of the isothermal expansion is 400 psia and at the end of isothermal expansion is 185 psig. Determine a.the volume at the end of the isothermal compression b.Change in entropy during the isothermal process c.heat added

In a constant volume cycle, the pressure at the end of compression is 10 times that at the start, the temperature limits are 20 ° C and 1900 ° C. Determine i. Compression ratio, ii. Thermal efficiency and iii. Work done. Take R = 287 J/kg K, y = 1.4