Question

8. An ideal air-standard Brayton cycle operates at steady state with compressor inlet conditions of 250 K and 25 kPa. The compressor pressure ratio is 10. The turbine inlet temperature is 1800 K. For the cycle: (a) the heat addition and work done in each process, in kJ/kg, (b) the thermal efficiency (c) the back work ratio

Answer 1

3 Pri 9 T, C2S0 к, Ра: 25 kpa, т-) т, а Т. (8) ( 6:9 ч So ( 10 ) 7 Ч& 64ч е , 12 Пs, ХТО — 250 kPa Та — 1800 —

о Tч 2 Теоо o'y (to). (а) 2 9322:30 S- и L- 2 2 sentropic compression comp ex ( т. -т, ) = 2-ооч х(че2-6Əч — 250 ) = 233-42146 v3) а constant pressure heat addition ед 2-3 Qin с ex (-т ) в • ооч x ( 1000 - 402 46ач) 1521. 2 к3) vg -Ч - Prentropic expansim lo turb зея сея (т-4) 1-обч x ( 1800 — 432 до 4 ) 89 1, reglug

4-1 -> constant pressure heat rejection your ep (T4-T) 1.004 (932.305 – 250) 1. 685.3753 woli thermal efficiency Tu Ti 2th Т1-Т. 932 - 2.50 = 1800 -462.674 0:482 wcomp ratio Back worki Wherb 233,72146 €71.6 0.26815