ENGR266 2025 Section B Q1Past paperOld spec ENGR2662:118 marks22 min

ENGR266 Summer 2025 Section B Q1[PARTIAL] Left out: The Lee-Kessler generalised correlation (and its tables) is not in the current materials; the residual volume from the R134a data tables and its interpretation are on-syllabus (residual properties are on the current formula sheet).

Calculate the residual molar volume of 1,1,1,2-tetrafluotoethant (HFC-134a) at a temperature of 104.85∘C104.85^\circ\mathrm{C} and a pressure of 2400 kPa using the generalized correlation of Lee and Kessler. The critical temperature and pressure are 101.08∘C101.08^\circ\mathrm{C} and 4060 kPa respectively, the acentric factor is 0.32684 and its molecular mass is 102.03 amu. Compare this to the residual molar volume calculated from the datatables. What does this tell us about the interactions between the molecules in HFC-134a.

Formulas you may need
  • Residual volume: VR=RTP(Z−1)=V−RTPV^R = \dfrac{RT}{P}(Z - 1) = V - \dfrac{RT}{P} (on the formula sheet)
  • Reduced properties: Tr=T/TcT_r = T/T_c, Pr=P/PcP_r = P/P_c (learn this)
  • [EXTERNAL] Lee-Kessler generalised correlation: Z=Z0+ωZ1Z = Z^0 + \omega Z^1, Z0Z^0 and Z1Z^1 from the Lee-Kessler tables at (Tr,Pr)(T_r, P_r) (learn this; correlation and tables not in the current materials)
  • Molar volume from tables: V=vMV = vM (learn this)