An ideal Stirling cycle uses energy reservoirs at 80°F and 640°F and uses hydrogen as the working gas. It is designed such that its minimum volume is 0.1 ft3, maximum volume is 1 ft3, and maximum pressure is 400 psia. Calculate the amount of external heat addition, external heat rejection, and heat transfer between the working fluid and regenerator for each complete cycle. Use constant specific heats at room temperature. The properties of hydrogen at room temperature are R = 5.3224 psia-ft3/lbm·
R = 0.9851 Btu/lbm·
R, cp = 3.43 Btu/lbm·
R, cv = 2.44 Btu/lbm·
R, and k = 1.404.