Question

An ideal gas mixture contains 4 moles of carbon dioxide and 8 moles of nitrogen. The mixture is compressed adiabatically from100kPa and 20°C to 0.5 MPa. What is the final temperature of the gas mixture?

Answer 1

Calculate the specific heat ratio of the mixture of the gas. Use the expression of the adiabetic compression in terms of temperature and pressure for calculate the final temperature of the mixture.

Solution n, 4 [ subsecih subscript I is used for coz 2 is used for nitrogen and] m2 = 8 Cp, = 0.846 KJ/kg k Cv, 0.657 KJ / kg K CP2 -) 1.039 Kolis* Cv2 >> 0.743 kJ/kyk V mix (4) (0.846) + (8) (1,039) no Con + 0₂ CP2 ni Cvr + M2 Cuz -) 4 (0.657) + 8 (0.743) Smix - 1.3644 From adiabetic compression expressions, & min-1 rmixol Tz Vi P2 Snix ) To V₂ ܒܘ Smilsal Tz > To To Smith P 1.3644-1 (0 Tz » (20+273)(0.5 xro? Hapa 1.3644 100 kpe 0.3644 Tz 3 293 (5) 103644 Tz = 450.346 K T₂ » 177.35°C ay